Faramarz Samavati wiki Notes - Projects

May 14, 2015, at 05:21 PM by 10.13.2.137 -

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With the help of the development team in PYXIS Inc., our research has been integrated in [https://www.worldview.gallery/|PYXIS ~~Worldview]~~ (see the below figure).

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With the help of the development team in PYXIS Inc., our research has been integrated in Worldview ( https://www.worldview.gallery/PYXIS ) (see the below figure).

May 14, 2015, at 05:20 PM by 10.13.2.137 -

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With the help of the development team in PYXIS Inc., our research has been integrated in PYXIS Worldview (see the below figure).

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With the help of the development team in PYXIS Inc., our research has been integrated in [https://www.worldview.gallery/|PYXIS Worldview] (see the below figure).

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%center% %width=600% http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Main/wv.jpg"(a) ~~A cube. (b) The cube after applying dual 1~~-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

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%center% %width=600% http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Main/wv.jpg"(a) Refined Icosahedron used in PYXIS world-view. (b) World-view. (c) Vector data sets represented in PYXIS world-view."

May 14, 2015, at 05:04 PM by 10.13.2.137 -

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%center% %width=~~550~~% http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Main/wv.jpg"(a) A cube. (b) The cube after applying dual 1-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

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%center% %width=600% http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Main/wv.jpg"(a) A cube. (b) The cube after applying dual 1-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

May 14, 2015, at 05:04 PM by 10.13.2.137 -

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%center% %width=550% http://~~jungle~~.cpsc.ucalgary.ca/~~wiki~~/~~uploads/Publications~~-~~FS/wv~~.~~png~~"(a) A cube. (b) The cube after applying dual 1-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

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%center% %width=550% http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Main/wv.jpg"(a) A cube. (b) The cube after applying dual 1-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

May 14, 2015, at 05:01 PM by 10.13.2.137 -

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%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/wv.png"(a) A cube. (b) The cube after applying dual 1-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

May 14, 2015, at 04:53 PM by 10.13.2.137 -

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=======

With the help of the development team in PYXIS Inc., our research has been integrated in PYXIS Worldview (see the below figure).
In PYXIS worldview, data sets from different resources and different formats can be integrated together for the purpose of data analysis, visualization, etc.
Currently, PYXIS worldview is successfully used in educational environments and we hope that we can release a version for the public use in the near future.
Having, such a goal in mind, many new research areas needed to be investigated such as data transmission, compression, etc.

May 14, 2015, at 04:18 PM by 10.13.2.137 -

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[1] ''ACM: Atlas of Connectivity Maps'', Ali Mahdavi-Amiri, 2015 %width=20px%[http://theses.ucalgary.ca/handle/11023/2247?mode=full&submit_simple=Show+full+item+record| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%%

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[1] ''ACM: Atlas of Connectivity Maps'', Ali Mahdavi-Amiri, 2015 %width=20px%[[http://theses.ucalgary.ca/handle/11023/2247?mode=full&submit_simple=Show+full+item+record| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%%

May 14, 2015, at 04:16 PM by 10.13.2.137 -

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[1] ''ACM: Atlas of Connectivity Maps'', Ali Mahdavi-Amiri, 2015 %width=20px%[[http://~~pages~~.~~cpsc.~~ucalgary.ca/~~~eharris~~/~~papers~~/~~thesis/paper.pdf~~ | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%%

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[1] ''ACM: Atlas of Connectivity Maps'', Ali Mahdavi-Amiri, 2015 %width=20px%[http://theses.ucalgary.ca/handle/11023/2247?mode=full&submit_simple=Show+full+item+record| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%%

May 14, 2015, at 11:01 AM by 10.13.2.148 -

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!!!!PhD Thesis
[1] ''ACM: Atlas of Connectivity Maps'', Ali Mahdavi-Amiri, 2015 %width=20px%[[http://pages.cpsc.ucalgary.ca/~eharris/papers/thesis/paper.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%%

April 18, 2015, at 12:58 PM by 23.253.211.156 -

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%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/hex-con-maps-jde2014-mahdavi-amiri.png" ~~A given index i in DGGS1 can be converted to an index j in DGGS2 using the spherical intermediate domain~~."

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%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/hex-con-maps-jde2014-mahdavi-amiri.png" An octahedral hexagonal DGGS."

April 18, 2015, at 12:56 PM by 23.253.211.156 -

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Geospatial data is gathered through a variety of different methods. The integration and handling of such data-sets within a Digital Earth framework are very important in many aspects of science and engineering. One means of addressing these tasks is to use a Geodesic Discrete Global Grid System and map points of the Earth�s surface to cells. An indexing mechanism is needed to access the data and handle data queries within these cells.. In [4], we present a general hierarchical indexing mechanism for hexagonal cells resulting from the refinement of triangular spherical polyhedra representing the Earth. In this work, we establish a 2D hexagonal coordinate system and diamond-based hierarchies for hexagonal cells that enables efficient determination of hierarchical relationships for various hexagonal refinements, and demonstrate its usefulness in Digital Earth frameworks.

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Geospatial data is gathered through a variety of different methods. The integration and handling of such data-sets within a Digital Earth framework are very important in many aspects of science and engineering. One means of addressing these tasks is to use a Geodesic Discrete Global Grid System and map points of the Earth�s surface to cells. An indexing mechanism is needed to access the data and handle data queries within these cells.. In [4], we present a general hierarchical indexing mechanism for hexagonal cells resulting from the refinement of triangular spherical polyhedra representing the Earth. In this work, we establish a 2D hexagonal coordinate system and diamond-based hierarchies for hexagonal cells that enables efficient determination of hierarchical relationships for various hexagonal refinements, and demonstrate its usefulness in Digital Earth frameworks. See [4] for more details.

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Digital Earth frameworks provide a tool to receive, send and interact with large location-based data sets, organized usually according to Discrete Global Grid Systems (DGGS). In DGGS, an indexing method is used to assign a unique index to each cell of a global grid and the data sets corresponding to these cells are retrieved or allocated using this unique index. There exist many methods to index cells of DGGS. Toward facility, interoperability, and also defining a �standard� for DGGS, a conversion is needed to translate a data set from one DGGS to another. In [5], we first propose a categorization of indexing methods of DGGS and then define a general conversion method from one indexing to another. Several examples are presented to describe the ~~method~~

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Digital Earth frameworks provide a tool to receive, send and interact with large location-based data sets, organized usually according to Discrete Global Grid Systems (DGGS). In DGGS, an indexing method is used to assign a unique index to each cell of a global grid and the data sets corresponding to these cells are retrieved or allocated using this unique index. There exist many methods to index cells of DGGS. Toward facility, interoperability, and also defining a �standard� for DGGS, a conversion is needed to translate a data set from one DGGS to another. In [5], we first propose a categorization of indexing methods of DGGS and then define a general conversion method from one indexing to another. Several examples are presented to describe the method. See [5] for more details.

April 18, 2015, at 12:54 PM by 23.253.211.156 -

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%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/hex-con-maps-jde2014-mahdavi-amiri.png" A given index i in DGGS1 can be converted to an index j in DGGS2 using the spherical intermediate domain."

April 18, 2015, at 12:53 PM by 23.253.211.156 -

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%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/indexing-of-dggs-ijgi2015-mahdavi-amiri.jpg"~~(a) Initial Texture (Blue Marble, NASA). (b) Inverse Snyder. (c) 3D Icosahedron~~."

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%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/indexing-of-dggs-ijgi2015-mahdavi-amiri.jpg" A given index i in DGGS1 can be converted to an index j in DGGS2 using the spherical intermediate domain."

April 18, 2015, at 12:52 PM by 23.253.211.156 -

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%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/indexing-of-dggs-ijgi2015-mahdavi-amiri.jpg"(a) Initial Texture (Blue Marble, NASA). (b) Inverse Snyder. (c) 3D Icosahedron."

April 18, 2015, at 12:48 PM by 23.253.211.156 -

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[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2014, %width=20px%[[http://www.tandfonline.com/doi/abs/10.1080/17538947.2014.927597 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/TJDE.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[ [[ (Attach:DeHournal.bib| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]]
[5] '''Categorization and Conversions for Indexing Methods of Discrete Global Grid Systems''', Ali Mahdavi-Amiri, Faramarz Samavati, Perry Peterson, ''ISPRS International Journal of Geo-Information'', 2015, %width=20px%[[http://www.mdpi.com/2220-9964/4/1/320 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/category.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[ [[ (Attach:Conversion.bib| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', (2014) %width=20px%[[http://www.tandfonline.com/doi/abs/10.1080/17538947.2014.927597 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/TJDE.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[ [[ (Attach:DeHournal.bib| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]]
[5] '''Categorization and Conversions for Indexing Methods of Discrete Global Grid Systems''', Ali Mahdavi-Amiri, Faramarz Samavati, Perry Peterson, ''ISPRS International Journal of Geo-Information'', (2015) %width=20px%[[http://www.mdpi.com/2220-9964/4/1/320 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/category.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[ [[ (Attach:Conversion.bib| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[5] '''Categorization and Conversions for Indexing Methods of Discrete Global Grid Systems''', Ali Mahdavi-Amiri, Faramarz Samavati, Perry Peterson ''ISPRS International Journal of Geo-Information'', 2015, %width=20px%[[http://www.mdpi.com/2220-9964/4/1/320 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/category.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[ [[ (Attach:Conversion.bib| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[5] '''Categorization and Conversions for Indexing Methods of Discrete Global Grid Systems''', Ali Mahdavi-Amiri, Faramarz Samavati, Perry Peterson, ''ISPRS International Journal of Geo-Information'', 2015, %width=20px%[[http://www.mdpi.com/2220-9964/4/1/320 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/category.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[ [[ (Attach:Conversion.bib| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', ~~2013~~, %width=20px%[[http://www.tandfonline.com/doi/abs/10.1080/17538947.2014.927597 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/TJDE.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[ [[ (Attach:DeHournal.bib| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2014, %width=20px%[[http://www.tandfonline.com/doi/abs/10.1080/17538947.2014.927597 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/TJDE.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[ [[ (Attach:DeHournal.bib| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]]
[5] '''Categorization and Conversions for Indexing Methods of Discrete Global Grid Systems''', Ali Mahdavi-Amiri, Faramarz Samavati, Perry Peterson ''ISPRS International Journal of Geo-Information'', 2015, %width=20px%[[http://www.mdpi.com/2220-9964/4/1/320 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/category.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[ [[ (Attach:Conversion.bib| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

April 18, 2015, at 12:38 PM by 23.253.211.156 -

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[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2013, %width=20px%[[http://www.tandfonline.com/doi/abs/10.1080/17538947.2014.927597 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/TJDE.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[~~http~~:~~//jungle~~.~~cpsc.ucalgary.ca/wiki/uploads/Publications-FS/DEjournal.bib~~ | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2013, %width=20px%[[http://www.tandfonline.com/doi/abs/10.1080/17538947.2014.927597 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/TJDE.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[ [[ (Attach:DeHournal.bib| http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

April 18, 2015, at 12:35 PM by 23.253.211.156 -

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[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2013, %width=20px%[[http://www.tandfonline.com/doi/abs/10.1080/17538947.2014.927597 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%
[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/TJDE.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/DEjournal.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2013, %width=20px%[[http://www.tandfonline.com/doi/abs/10.1080/17538947.2014.927597 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/TJDE.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/DEjournal.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[[http://~~jungle~~.cpsc.ucalgary.ca/~~wiki~~/~~uploads/Publications~~-FS/~~inv-snyder-cw2011-harrison~~.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/~~inv-snyder-cw2011-harrison~~.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[[http://pages.cpsc.ucalgary.ca/~amahdavi/pmwiki-2.2.8/uploads/Site/TJDE.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/DEjournal.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

April 18, 2015, at 12:33 PM by 23.253.211.156 -

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[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2013, %width=20px%[[http://dx.~~doi~~.~~org~~/10.~~1109~~/CW.~~2011~~.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2013, %width=20px%[[http://www.tandfonline.com/doi/abs/10.1080/17538947.2014.927597 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%

[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

April 18, 2015, at 12:31 PM by 23.253.211.156 -

April 18, 2015, at 12:29 PM by 23.253.211.156 -

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[3] '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[3] '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]]

April 18, 2015, at 12:29 PM by 23.253.211.156 -

April 18, 2015, at 12:28 PM by 23.253.211.156 -

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[3] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2013, %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

[4] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2013, %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

April 18, 2015, at 12:27 PM by 23.253.211.156 -

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[3] '''Hexagonal Connectivity Maps for Digital Earth''', Ali Mahdavi-Amiri, Erika Harrison, Faramarz Samavati ''International Journal of Digital Earth'', 2013, %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

April 18, 2015, at 12:05 PM by 24.244.29.151 -

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=======
Digital Earth frameworks provide a tool to receive, send and interact with large location-based data sets, organized usually according to Discrete Global Grid Systems (DGGS). In DGGS, an indexing method is used to assign a unique index to each cell of a global grid and the data sets corresponding to these cells are retrieved or allocated using this unique index. There exist many methods to index cells of DGGS. Toward facility, interoperability, and also defining a �standard� for DGGS, a conversion is needed to translate a data set from one DGGS to another. In [5], we first propose a categorization of indexing methods of DGGS and then define a general conversion method from one indexing to another. Several examples are presented to describe the method

April 18, 2015, at 12:02 PM by 24.244.29.146 -

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Geospatial data is gathered through a variety of different methods. The integration and handling of such data-sets within a Digital Earth framework are very important in many aspects of science and engineering. One means of addressing these tasks is to use a Geodesic Discrete Global Grid System and map points of the Earth�s surface to cells. An indexing mechanism is needed to access the data and handle data queries within these cells.. In [4], we present a general hierarchical indexing mechanism for hexagonal cells resulting from the refinement of triangular spherical polyhedra representing the Earth. In this work, we establish a 2D hexagonal coordinate system and diamond-based hierarchies for hexagonal cells that enables efficient determination of hierarchical relationships for various hexagonal refinements, and demonstrate its usefulness in Digital Earth frameworks.

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=======

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%center% Digital Earth Workshop, September 13-14, ~~2014~~

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%center% '''Digital Earth Workshop, September 13-14, 2014'''

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%center% Attach:DE2014-Workshop.jpg

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%center% %width=780% Attach:DE2014-Workshop.jpg

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%center% Digital Earth Workshop, September 13-14, 2014

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~~The~~ digital Earth framework is a multiresolution 3D model used to visualize location-based data. In [1], we introduce a new digital Earth framework using a cube as its underlying polyhedron. To create multiresolution, we introduce two types of 1-to-2 ~~renement~~. Having a smaller factor of refinement enables us to provide more resolutions and therefore a smoother transition among resolutions. We also suggest two indexing methods specifically designed for quadrilateral cells resulting from 1-to-2 refinement. We finally discuss the equal area spherical projection that we are using in this framework to model the Earth as a sphere partitioned to equal area cells. See [1] for more details.

to:

%center% Attach:DE2014-Workshop.jpg

=======

The digital Earth framework is a multiresolution 3D model used to visualize location-based data. In [1], we introduce a new digital Earth framework using a cube as its underlying polyhedron. To create multiresolution, we introduce two types of 1-to-2 refinement. Having a smaller factor of refinement enables us to provide more resolutions and therefore a smoother transition among resolutions. We also suggest two indexing methods specifically designed for quadrilateral cells resulting from 1-to-2 refinement. We finally discuss the equal area spherical projection that we are using in this framework to model the Earth as a sphere partitioned to equal area cells. See [1] for more details.

March 17, 2014, at 03:51 PM by 10.11.76.199 -

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!!!!Related ~~papers~~

to:

!!!!Related Papers

March 17, 2014, at 03:49 PM by 10.11.76.199 -

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[1] ''Equal Area Spherical Subdivision'', Erika Harrison, 2012 [%~~newwin~~%[[http://pages.cpsc.ucalgary.ca/~eharris/papers/thesis/paper.pdf | ~~PDF~~]]%%]

to:

[1] ''Equal Area Spherical Subdivision'', Erika Harrison, 2012 %width=20px%[[http://pages.cpsc.ucalgary.ca/~eharris/papers/thesis/paper.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%%

March 17, 2014, at 03:46 PM by 10.11.76.199 -

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Modern area preserving projections employed by cartographers and geographers have closed forms when transitioning between the sphere and the plane. Inversions - from the planar map to the spherical approximation of the Earth - are slower, requiring iterative root finding approaches or entirely undetermined. Recent optimizations of the common Inverse Snyder Equal Area Polyhedral projection have been fairly successful, however the work herein improves it further by adjusting the approximating polynomial. An evaluation against the original and improved optimizations is provided, along with a previously unexplored real-time analysis. See [2] for ~~more~~ details.

to:

Modern area preserving projections employed by cartographers and geographers have closed forms when transitioning between the sphere and the plane. Inversions - from the planar map to the spherical approximation of the Earth - are slower, requiring iterative root finding approaches or entirely undetermined. Recent optimizations of the common Inverse Snyder Equal Area Polyhedral projection have been fairly successful, however the work herein improves it further by adjusting the approximating polynomial. An evaluation against the original and improved optimizations is provided, along with a previously unexplored real-time analysis. See [2] for further details.

Changed line 13 from:

Modern techniques in area preserving projections used by cartographers and other geospatial researchers have closed forms when projecting from the sphere to the plane, as based on their initial derivations. Inversions, from the planar map to the spherical approximation of the Earth which are important for modern 3D analysis and visualizations, are slower, requiring iterative root finding approaches, or not determined at all. We introduce optimization techniques for Snyder�s inverse polyhedral projection by reducing iterations, and using polynomial approximations for avoiding them entirely. Results including speed up, iteration reduction, and error analysis are provided. ~~See [3] for more~~ details.

to:

Modern techniques in area preserving projections used by cartographers and other geospatial researchers have closed forms when projecting from the sphere to the plane, as based on their initial derivations. Inversions, from the planar map to the spherical approximation of the Earth which are important for modern 3D analysis and visualizations, are slower, requiring iterative root finding approaches, or not determined at all. We introduce optimization techniques for Snyder�s inverse polyhedral projection by reducing iterations, and using polynomial approximations for avoiding them entirely. Results including speed up, iteration reduction, and error analysis are provided. For additional details, see [3].

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The digital Earth framework is a multiresolution 3D model used to visualize location-based data. In [1], we introduce a new digital Earth framework using a cube as its underlying polyhedron. To create multiresolution, we introduce two types of 1-to-2 renement. Having a smaller factor of refinement enables us to provide more resolutions and therefore a smoother transition among resolutions. We also suggest two indexing methods specifically designed for quadrilateral cells resulting from 1-to-2 refinement. We finally discuss the equal area spherical projection that we are using in this framework to model the Earth as a sphere partitioned to equal area cells.

to:

The digital Earth framework is a multiresolution 3D model used to visualize location-based data. In [1], we introduce a new digital Earth framework using a cube as its underlying polyhedron. To create multiresolution, we introduce two types of 1-to-2 renement. Having a smaller factor of refinement enables us to provide more resolutions and therefore a smoother transition among resolutions. We also suggest two indexing methods specifically designed for quadrilateral cells resulting from 1-to-2 refinement. We finally discuss the equal area spherical projection that we are using in this framework to model the Earth as a sphere partitioned to equal area cells. See [1] for more details.

Changed lines 6-7 from:

Modern area preserving projections employed by cartographers and geographers have closed forms when transitioning between the sphere and the plane. Inversions - from the planar map to the spherical approximation of the Earth - are slower, requiring iterative root finding approaches or entirely undetermined. Recent optimizations of the common Inverse Snyder Equal Area Polyhedral projection have been fairly successful, however the work herein improves it further by adjusting the approximating polynomial. An evaluation against the original and improved optimizations is provided, along with a previously unexplored real-time analysis.

to:

Modern area preserving projections employed by cartographers and geographers have closed forms when transitioning between the sphere and the plane. Inversions - from the planar map to the spherical approximation of the Earth - are slower, requiring iterative root finding approaches or entirely undetermined. Recent optimizations of the common Inverse Snyder Equal Area Polyhedral projection have been fairly successful, however the work herein improves it further by adjusting the approximating polynomial. An evaluation against the original and improved optimizations is provided, along with a previously unexplored real-time analysis. See [2] for more details.

Changed lines 11-12 from:

Modern techniques in area preserving projections used by cartographers and other geospatial researchers have closed forms when projecting from the sphere to the plane, as based on their initial derivations. Inversions, from the planar map to the spherical approximation of the Earth which are important for modern 3D analysis and visualizations, are slower, requiring iterative root finding approaches, or not determined at all. We introduce optimization techniques for Snyder�s inverse polyhedral projection by reducing iterations, and using polynomial approximations for avoiding them entirely. Results including speed up, iteration reduction, and error analysis are provided.

to:

Modern techniques in area preserving projections used by cartographers and other geospatial researchers have closed forms when projecting from the sphere to the plane, as based on their initial derivations. Inversions, from the planar map to the spherical approximation of the Earth which are important for modern 3D analysis and visualizations, are slower, requiring iterative root finding approaches, or not determined at all. We introduce optimization techniques for Snyder�s inverse polyhedral projection by reducing iterations, and using polynomial approximations for avoiding them entirely. Results including speed up, iteration reduction, and error analysis are provided. See [3] for more details.

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[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]] [2] '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]] [3] '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]]
[2] '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]]
[3] '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

March 17, 2014, at 03:42 PM by 10.11.76.199 -

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March 17, 2014, at 03:42 PM by 10.11.76.199 -

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[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]][~~[<<~~]~~] [2]~~ '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% ~~[[<<]]~~[[<<]] [3] '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]] [2] '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]] [3] '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]][[<<]]
[2] '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%
[3] '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]][[<<]] [2] '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]][[<<]] [3] '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[>>]]

to:

[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[<<]][[<<]]

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[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%% [[>>]]

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The digital Earth framework is a multiresolution 3D model used to visualize location-based data. In [1], we introduce a new digital Earth framework using a cube as its underlying polyhedron. To create multiresolution, we introduce two types of 1-to-2 renement. Having a smaller factor of refinement enables us to provide more resolutions and therefore a smoother transition among resolutions. We also suggest two indexing methods specifically designed for quadrilateral cells resulting from 1-to-2 refinement. We finally discuss the equal area spherical projection that we are using in this framework to model the Earth as a sphere partitioned to equal area cells.

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The digital Earth framework is a multiresolution 3D model used to visualize location-based data. In [1], we introduce a new digital Earth framework using a cube as its underlying polyhedron. To create multiresolution, we introduce two types of 1-to-2 renement. Having a smaller factor of refinement enables us to provide more resolutions and therefore a smoother transition among resolutions. We also suggest two indexing methods specifically designed for quadrilateral cells resulting from 1-to-2 refinement. We finally discuss the equal area spherical projection that we are using in this framework to model the Earth as a sphere partitioned to equal area cells.

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Modern area preserving projections employed by cartographers and geographers have closed forms when transitioning between the sphere and the plane. Inversions - from the planar map to the spherical approximation of the Earth - are slower, requiring iterative root finding approaches or entirely undetermined. Recent optimizations of the common Inverse Snyder Equal Area Polyhedral projection have been fairly successful, however the work herein improves it further by adjusting the approximating polynomial. An evaluation against the original and improved optimizations is provided, along with a previously unexplored real-time analysis.

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Modern area preserving projections employed by cartographers and geographers have closed forms when transitioning between the sphere and the plane. Inversions - from the planar map to the spherical approximation of the Earth - are slower, requiring iterative root finding approaches or entirely undetermined. Recent optimizations of the common Inverse Snyder Equal Area Polyhedral projection have been fairly successful, however the work herein improves it further by adjusting the approximating polynomial. An evaluation against the original and improved optimizations is provided, along with a previously unexplored real-time analysis.

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Modern techniques in area preserving projections used by cartographers and other geospatial researchers have closed forms when projecting from the sphere to the plane, as based on their initial derivations. Inversions, from the planar map to the spherical approximation of the Earth which are important for modern 3D analysis and visualizations, are slower, requiring iterative root finding approaches, or not determined at all. We introduce optimization techniques for Snyder�s inverse polyhedral projection by reducing iterations, and using polynomial approximations for avoiding them entirely. Results including speed up, iteration reduction, and error analysis are provided.

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Modern techniques in area preserving projections used by cartographers and other geospatial researchers have closed forms when projecting from the sphere to the plane, as based on their initial derivations. Inversions, from the planar map to the spherical approximation of the Earth which are important for modern 3D analysis and visualizations, are slower, requiring iterative root finding approaches, or not determined at all. We introduce optimization techniques for Snyder�s inverse polyhedral projection by reducing iterations, and using polynomial approximations for avoiding them entirely. Results including speed up, iteration reduction, and error analysis are provided.

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Modern techniques in area preserving projections used by cartographers and other geospatial researchers have closed forms when projecting from the sphere to the plane, as based on their initial derivations. Inversions, from the planar map to the spherical approximation of the Earth which are important for modern 3D analysis and visualizations, are slower, requiring iterative root finding approaches, or not determined at all. We introduce optimization techniques for Snyder�s inverse polyhedral projection by reducing iterations, and using polynomial approximations for avoiding them entirely. Results including speed up, iteration reduction, and error analysis are provided.

March 17, 2014, at 03:38 PM by 10.11.76.199 -

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Modern area preserving projections employed by cartographers and geographers have closed forms when transitioning between the sphere and the plane. Inversions - from the planar map to the spherical approximation of the Earth - are slower, requiring iterative root finding approaches or entirely undetermined. Recent optimizations of the common Inverse Snyder Equal Area Polyhedral projection have been fairly successful, however the work herein improves it further by adjusting the approximating polynomial. An evaluation against the original and improved optimizations is provided, along with a previously unexplored real-time analysis.

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The digital Earth framework is a multiresolution 3D model used to visualize location-based data. In [1], we introduce a new digital Earth framework using a cube as its underlying polyhedron. To create multiresolution, we introduce two types of 1-to-2 renement. Having a smaller factor of refinement enables us to provide more resolutions and therefore a smoother transition among resolutions. We also suggest two indexing methods specifically designed for quadrilateral cells resulting from 1-to-2 refinement. We finally discuss the equal area spherical projection that we are using in this framework to model the Earth as a sphere partitioned to equal area cells.

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* '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%
* '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%
* '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

[1] '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%
[2] '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%
[3] '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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* ''Equal Area Spherical Subdivision'', Erika Harrison, 2012 [%newwin%[[http://pages.cpsc.ucalgary.ca/~eharris/papers/thesis/paper.pdf | PDF]]%%]

to:

[1] ''Equal Area Spherical Subdivision'', Erika Harrison, 2012 [%newwin%[[http://pages.cpsc.ucalgary.ca/~eharris/papers/thesis/paper.pdf | PDF]]%%]

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%width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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* '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%%

to:

* '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

March 17, 2014, at 03:30 PM by 10.11.76.199 -

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!!!!Related papers
* '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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* '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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* '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

%width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

Added lines 8-13:

=======
!!!!Related papers
* '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%
* '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%
* '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%%

March 17, 2014, at 03:29 PM by 10.11.76.199 -

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%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.png"(a) Initial Texture (Blue Marble, NASA). (b) Inverse Snyder. (c) 3D Icosahedron."

to:

%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.png"(a) Initial Texture (Blue Marble, NASA). (b) Inverse Snyder. (c) 3D Icosahedron."

!!!!MSc Thesis
* ''Equal Area Spherical Subdivision'', Erika Harrison, 2012 [%newwin%[[http://pages.cpsc.ucalgary.ca/~eharris/papers/thesis/paper.pdf | PDF]]%%]

March 17, 2014, at 03:24 PM by 10.11.76.199 -

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%width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.png"The distribution of required number of iterations for convergence, across the surface of a sphere (blue = 4, green = 3, and red = 2), obtained through an improved initial estimate and the elimination of iterations by full use of polynomial approximation. (a) Original, (b) polynomial degree 1, (c) polynomial degree 5, and (d) polynomial degree 8."

to:

%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.png"The distribution of required number of iterations for convergence, across the surface of a sphere (blue = 4, green = 3, and red = 2), obtained through an improved initial estimate and the elimination of iterations by full use of polynomial approximation. (a) Original, (b) polynomial degree 1, (c) polynomial degree 5, and (d) polynomial degree 8."

Changed line 9 from:

%width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.png"(a) Initial Texture (Blue Marble, NASA). (b) Inverse Snyder. (c) 3D Icosahedron."

to:

%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.png"(a) Initial Texture (Blue Marble, NASA). (b) Inverse Snyder. (c) 3D Icosahedron."

March 17, 2014, at 03:24 PM by 10.11.76.199 -

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%width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.png"(a) A cube. (b) The cube after applying dual 1-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

to:

%center% %width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.png"(a) A cube. (b) The cube after applying dual 1-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

March 17, 2014, at 03:23 PM by 10.11.76.199 -

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* '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=~~17px~~%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

* '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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* '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=~~40px~~%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=~~40px~~%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=~~35px~~%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

* '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

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* '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=~~40px~~%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=~~40px~~%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=~~35px~~%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

* '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=20px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=18px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

March 17, 2014, at 03:22 PM by 10.11.76.199 -

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* '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=~~40px~~%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=~~40px~~%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=~~35px~~%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

* '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=20px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=20px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=17px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

March 17, 2014, at 03:22 PM by 10.11.76.199 -

March 17, 2014, at 03:21 PM by 10.11.76.199 -

Changed lines 3-9 from:

%width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.png"(a) A cube. (b) The cube after applying dual 1-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

to:

%width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.png"(a) A cube. (b) The cube after applying dual 1-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

* '''Analysis of inverse Snyder optimizations''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''Transactions on Computational Science XVI'', LNCS 7380, Springer Berlin Heidelberg, pp. 134-148 (2012) %width=40px%[[http://dx.doi.org/10.1007/978-3-642-32663-9_8 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=40px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=35px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%
%width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-tcs2012-harrison.png"The distribution of required number of iterations for convergence, across the surface of a sphere (blue = 4, green = 3, and red = 2), obtained through an improved initial estimate and the elimination of iterations by full use of polynomial approximation. (a) Original, (b) polynomial degree 1, (c) polynomial degree 5, and (d) polynomial degree 8."

* '''Optimization of inverse Snyder polyhedral projection''', Erika Harrison, Ali Mahdavi-Amiri, and Faramarz Samavati, ''International Conference on Cyberworlds (CW), in association with ACM SIGGRAPH and Eurographics'', IEEE Computer Society, pp. 136-143 (Oct 2011) %width=40px%[[http://dx.doi.org/10.1109/CW.2011.36 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=40px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=35px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%
%width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/inv-snyder-cw2011-harrison.png"(a) Initial Texture (Blue Marble, NASA). (b) Inverse Snyder. (c) 3D Icosahedron."

March 17, 2014, at 03:20 PM by 10.11.76.199 -

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* '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) ~~[[<<]][[<<]]~~ %width=40px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=40px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=35px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

to:

* '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) %width=40px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=40px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=35px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%

March 17, 2014, at 03:19 PM by 10.11.76.199 -

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!!!!Related papers
* '''One-to-two digital earth''', Ali Mahdavi-Amiri, Faraz Bhojani, and Faramarz Samavati, ''Advances in Visual Computing - ISVC 2013'', LNCS 8034, Springer Berlin Heidelberg, pp. 681-692 (Jul 2013) [[<<]][[<<]] %width=40px%[[http://dx.doi.org/10.1007/978-3-642-41939-3_67 | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/publishericon.png"Electronic Edition from Publisher"]]%% %width=40px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.pdf | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/pdficon.png"Download/Open Author Preprint"]]%% %width=35px%[[http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.bib | http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/bibtexicon.png"Export BibTeX Citation"]]%%
%width=550% http://jungle.cpsc.ucalgary.ca/wiki/uploads/Publications-FS/1-to-2-de-isvc2013-mahdavi-amiri.png"(a) A cube. (b) The cube after applying dual 1-to-2 refinement three times. (c) The refined cube is projected to the sphere using an equal area spherical projection. (d) The spherical cube at a high resolution. (e) The resulting spherical polyhedron is textured using a blue marble image."

March 17, 2014, at 03:16 PM by 10.11.76.199 -

Deleted lines 0-37:

When you take a picture you are performing a projection from three dimensions (the world) down to two dimensions (a flat photograph). While camera perform one type of projection, different lenses (e.g., fisheye lenses) and photographic methods (panorama stitching) create different types of projections.

However, there are a wide variety of other projections that cannot be taken with a camera. For instance, the orthographic projections used to create blue prints. In paintings artists take this even further exploring entirely different representations of space.

%center% http://pages.cpsc.ucalgary.ca/~brosz/foo/otherprojections.jpg

Flexible projection is a project that aims make a wider variety of projection possible within computer graphics environments. One of the main concepts in this work is to employ modeling techniques and interfaces to organize the flattening of a volume into a 2D plane. Flexible Projection not only provides a means for including nonstandard projections in graphics systems but also provides a consistent means of creating and working with a wide variety of different projections.

%center% http://pages.cpsc.ucalgary.ca/~brosz/research/projection/figs/kiasetup.png http://pages.cpsc.ucalgary.ca/~brosz/research/projection/figs/kia.png

Flexible Projection explicitly model the 3D volume as a parametric volume. Beginning with a cube one can flexibly adjust this volume into other shapes: a frustum for perspective, a cylinder for a cylindrical panorama, a hemisphere for a fisheye thus allowing for a diverse variety of projections. This relation between the volume's shape and the resulting projection creates a link that can assist in visual communication of the projection's behaviour without resorting to mathematical equations.

We have explored several different applications for Flexible Projections:

%center% %width=300px%http://pages.cpsc.ucalgary.ca/~brosz/research/panorama/cylinder.png %width=300px%http://pages.cpsc.ucalgary.ca/~brosz/research/panorama/cylinderwindow.png
%center% Altering Panoramas

%center% %width=880px% http://pages.cpsc.ucalgary.ca/~brosz/foo/vangoghrecreation.jpg
%center% Reproducing (A1, A2) & Re-applying Van Gogh's Projection (B)

%center% %width=800px% http://pages.cpsc.ucalgary.ca/~brosz/foo/alteringprojection.jpg
%center% Altering Projections

!!!! Downloads
*A demo video from an early version of this work %newwin%[[http://pages.cpsc.ucalgary.ca/~samavati/papers/demovideo.avi | avi video]]%% \\
\\

=======

!!!!Related papers
* ''Single Camera Flexible Projection'', J. Brosz, F.F. Samavati, S. Carpendale, M.C. Sousa. Proceedings of the 4th International Symposium on Non-Photorealistic Animation and Rendering (NPAR 2007). [%newwin%[[http://pages.cpsc.ucalgary.ca/~brosz/research/projection/Flexible_Projection.pdf | PDF]]%%]
* ''Art and Nonlinear Projection'', J. Brosz, S. Carpendale, F.F. Samavati, H. Wang, A. Dunning. Proceedings of Bridges 2009: Mathematical Connections in Art, Music, and Science. [%newwin%[[http://pages.cpsc.ucalgary.ca/~brosz/research/projection/bridges.pdf | PDF]]%%]
* ''Shape Defined Panoramas'', J. Brosz and F.F. Samavati. Proceedings of the 8th Eurographics/ACM Symposium on Sketch-Based Interfaces and Modeling (SBIM'11), Aix-en-Provence, France, 2011. [%newwin%[[http://pages.cpsc.ucalgary.ca/~brosz/research/projection/panorama.pdf | PDF]]%%]

!!!!PhD Thesis
* ''The Flexible Projection Framework''. John Brosz, 2011 [%newwin%[[http://pages.cpsc.ucalgary.ca/~brosz/research/projection/PhDThesis.pdf | PDF]]%%]

January 10, 2014, at 04:48 PM by 10.11.76.83 -

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When you take a picture you are performing a projection from three dimensions (the world) down to two dimensions (a flat photograph). While camera perform one type of projection, different lenses (e.g., fisheye lenses) and photographic methods (panorama stitching) create different types of projections.

However, there are a wide variety of other projections that cannot be taken with a camera. For instance, the orthographic projections used to create blue prints. In paintings artists take this even further exploring entirely different representations of space.

%center% http://pages.cpsc.ucalgary.ca/~brosz/foo/otherprojections.jpg

Flexible projection is a project that aims make a wider variety of projection possible within computer graphics environments. One of the main concepts in this work is to employ modeling techniques and interfaces to organize the flattening of a volume into a 2D plane. Flexible Projection not only provides a means for including nonstandard projections in graphics systems but also provides a consistent means of creating and working with a wide variety of different projections.

%center% http://pages.cpsc.ucalgary.ca/~brosz/research/projection/figs/kiasetup.png http://pages.cpsc.ucalgary.ca/~brosz/research/projection/figs/kia.png

Flexible Projection explicitly model the 3D volume as a parametric volume. Beginning with a cube one can flexibly adjust this volume into other shapes: a frustum for perspective, a cylinder for a cylindrical panorama, a hemisphere for a fisheye thus allowing for a diverse variety of projections. This relation between the volume's shape and the resulting projection creates a link that can assist in visual communication of the projection's behaviour without resorting to mathematical equations.

We have explored several different applications for Flexible Projections:

%center% %width=300px%http://pages.cpsc.ucalgary.ca/~brosz/research/panorama/cylinder.png %width=300px%http://pages.cpsc.ucalgary.ca/~brosz/research/panorama/cylinderwindow.png
%center% Altering Panoramas

%center% %width=880px% http://pages.cpsc.ucalgary.ca/~brosz/foo/vangoghrecreation.jpg
%center% Reproducing (A1, A2) & Re-applying Van Gogh's Projection (B)

%center% %width=800px% http://pages.cpsc.ucalgary.ca/~brosz/foo/alteringprojection.jpg
%center% Altering Projections

!!!! Downloads
*A demo video from an early version of this work %newwin%[[http://pages.cpsc.ucalgary.ca/~samavati/papers/demovideo.avi | avi video]]%% \\
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!!!!Related papers
* ''Single Camera Flexible Projection'', J. Brosz, F.F. Samavati, S. Carpendale, M.C. Sousa. Proceedings of the 4th International Symposium on Non-Photorealistic Animation and Rendering (NPAR 2007). [%newwin%[[http://pages.cpsc.ucalgary.ca/~brosz/research/projection/Flexible_Projection.pdf | PDF]]%%]
* ''Art and Nonlinear Projection'', J. Brosz, S. Carpendale, F.F. Samavati, H. Wang, A. Dunning. Proceedings of Bridges 2009: Mathematical Connections in Art, Music, and Science. [%newwin%[[http://pages.cpsc.ucalgary.ca/~brosz/research/projection/bridges.pdf | PDF]]%%]
* ''Shape Defined Panoramas'', J. Brosz and F.F. Samavati. Proceedings of the 8th Eurographics/ACM Symposium on Sketch-Based Interfaces and Modeling (SBIM'11), Aix-en-Provence, France, 2011. [%newwin%[[http://pages.cpsc.ucalgary.ca/~brosz/research/projection/panorama.pdf | PDF]]%%]

!!!!PhD Thesis
* ''The Flexible Projection Framework''. John Brosz, 2011 [%newwin%[[http://pages.cpsc.ucalgary.ca/~brosz/research/projection/PhDThesis.pdf | PDF]]%%]

Projects.DigitalEarth History