http://de.evo-art.org/index.php?action=history&feed=atom&title=The_Mercator_Redemption 2026-05-03T07:19:24Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=The_Mercator_Redemption&diff=3916&oldid=prev 2015-01-28T14:17:29Z

<p>Die Seite wurde neu angelegt: „ == Reference == Sébastien Pérez-Duarte and David Swart: <a href="/index.php?title=The_Mercator_Redemption" title="The Mercator Redemption">The Mercator Redemption</a>. In: <a href="/index.php?title=Bridges_2013" title="Bridges 2013">Bridges 2013</a>. Pages 217–224 == DOI == == Abstract == The …“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Sébastien Pérez-Duarte and David Swart: [[The Mercator Redemption]]. In: [[Bridges 2013]]. Pages 217–224 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> The Mercator projection is arguably the most famous projection in cartography and it has a long and useful history,<br /> especially as a navigation tool. In the last century, the Mercator projection’s reputation has suffered a setback. This<br /> paper hopes to restore some of the projection’s former glory by applying the Mercator projection to spherical<br /> content and the related complex logarithm function to planar content. We take advantage of its cylindrical and<br /> conformal properties and we showcase the projection’s ability to zoom through many orders of scale. Finally, we<br /> show some related image manipulations such as the Droste effect, and a new Conformal Spherical Stretching<br /> operation by the first author that allows for a new degree of freedom when composing spherical panoramas.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] American Cartographic Association. Geographers and cartographers urge end to popular use of rectangular maps. The American Cartographer. 16(3):222–223. 1989.<br /> <br /> [2] Nikolaus Baumgarten et al. Zoomquilt. http://zoomquilt.org/. Accessed 03/01/2013.<br /> <br /> [3] Nikolaus Baumgarten et al. Zoomquilt II. http://zoomquilt2.madmindworx.com/. Accessed 03/01/2013.<br /> <br /> [4] Daniel M. Germán, Lloyd Burchill, Alexandre Duret-Lutz, Sébastien Pérez-Duarte, Emmanuel Pérez-Duarte, Josh Sommers. Flattening the Viewable Sphere. Computational Aesthetics 2007:23–28. 2007.<br /> <br /> [5] Sébastien Pérez-Duarte. Notre Dame de Reims by night, centered and stretched. http://fieldofview.com/flickr/?page=photos/sbprzd/666952257/. Accessed 03/01/2013. <br /> <br /> [6] Bart de Smit and Hendrik W. Lenstra Jr. The Mathematical Structure of Escher’s Print Gallery. In Notices of the AMS. 50(4):446–451, 2003.<br /> <br /> [7] David Swart and Bruce Torrence. Mathematics Meets Photography. Math Horizons, 19(1):14–17 and 19(2):24–27, 2011.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2013/bridges2013-217.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2013/bridges2013-217.html</div>

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