http://de.evo-art.org/index.php?action=history&feed=atom&title=Warping_Pictures_Nicely 2026-05-17T01:41:32Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Warping_Pictures_Nicely&diff=4005&oldid=prev 2015-01-29T15:07:26Z

<p>Die Seite wurde neu angelegt: „ == Reference == David Swart: <a href="/index.php?title=Warping_Pictures_Nicely" title="Warping Pictures Nicely">Warping Pictures Nicely</a>. In: <a href="/index.php?title=Bridges_2011" title="Bridges 2011">Bridges 2011</a>. Pages 303–310 == DOI == == Abstract == We present a new algorithm, using…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> David Swart: [[Warping Pictures Nicely]]. In: [[Bridges 2011]]. Pages 303–310 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> We present a new algorithm, using only simple geometry, to warp imagery from an arbitrarily shaped source region<br /> to an arbitrarily shaped target region. Mathematically speaking, the algorithm outputs harmonic maps (every point<br /> is at the average position of its neighbors) using new boundary conditions to curb excessive non-uniform stretching<br /> and shearing in order to appear more conformal. The algorithm has typical running times measured in seconds. We<br /> give some artistic examples to demonstrate how the results can be used in digital photography and other graphical<br /> work.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Vladimir Bulatov. Conformal Models of the Hyperbolic Geometry. Presented at MAA-AMS Joint Mathematics<br /> Meeting, San Francisco 2010. http://bulatov.org/math/1001/. Accessed February 1, 2011.<br /> <br /> [2] Chuck Collins and Kenneth Stephenson. A Circle Packing Algorithm. Computational Geometry: Theory and<br /> Applications, vol. 25, pages 233–256, 2003.<br /> <br /> [3] Bart de Smit and Hendrik W. Lenstra Jr. The Mathematical Structure of Escher’s Print Gallery. In Notices of the<br /> AMS 50, no 4, pages 446–451, 2003.<br /> <br /> [4] Tobin A. Driscoll and Lloyd N. Trefethen. Schwarz-Christoffel Mapping. Cambridge Monographs on Applied<br /> and Computational Mathematics, 2002.<br /> <br /> [5] Daniel M. Germán, Lloyd Burchill, Alexandre Duret-Lutz, Sébastien Pérez-Duarte, Emmanuel Pérez-Duarte,<br /> Josh Sommers. Flattening the Viewable Sphere. Computational Aesthetics 2007, pages 23–28. 2007.<br /> <br /> [6] Owen Jones. The Grammar of Ornament. Folio edition, Bernard Quaritch, 1910.<br /> <br /> [7] Liliya Kharevych, Boris Springborn and Peter Schröder. Discrete Conformal Mappings via Circle Patterns. In<br /> ACM Transactions on Graphics 25(2), pages 412-438, 2006<br /> <br /> [8] Boris Springborn, P. Schröder, and Ulrich Pinkall. Conformal Equivalence of Triangle Meshes. In ACM<br /> Transactions on Graphics, 27(3), article 77, 2008.<br /> <br /> [9] Martin von Gagern and Jürgen Richter-Gebert. Hyperbolization of Euclidean Ornaments. The Electronic<br /> Journal of Combinatorics, 16(2), 2009.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2011/bridges2011-303.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2011/bridges2011-303.html</div>

Gbachelier