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		<title>Curve Evolution Schemes for Parquet Deformations - Versionsgeschichte</title>
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		<title>Gbachelier: Die Seite wurde neu angelegt: „  == Reference == Craig S. Kaplan: Curve Evolution Schemes for Parquet Deformations. In: Bridges 2010. Pages 95–102   == DOI ==  == Abstract == In th…“</title>
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		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „  == Reference == Craig S. Kaplan: &lt;a href=&quot;/index.php?title=Curve_Evolution_Schemes_for_Parquet_Deformations&quot; title=&quot;Curve Evolution Schemes for Parquet Deformations&quot;&gt;Curve Evolution Schemes for Parquet Deformations&lt;/a&gt;. In: &lt;a href=&quot;/index.php?title=Bridges_2010&quot; title=&quot;Bridges 2010&quot;&gt;Bridges 2010&lt;/a&gt;. Pages 95–102   == DOI ==  == Abstract == In th…“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
Craig S. Kaplan: [[Curve Evolution Schemes for Parquet Deformations]]. In: [[Bridges 2010]]. Pages 95–102 &lt;br /&gt;
&lt;br /&gt;
== DOI ==&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
In this paper, I consider the question of how to carry out aesthetically pleasing evolution of the curves that make up&lt;br /&gt;
the edges in a parquet deformation. Within the framework of simple arrangements of square tiles, I explore curve&lt;br /&gt;
evolution models based on grids, iterated function systems, and organic labyrinthine paths.&lt;br /&gt;
&lt;br /&gt;
== Extended Abstract ==&lt;br /&gt;
&lt;br /&gt;
== Bibtex == &lt;br /&gt;
&lt;br /&gt;
== Used References ==&lt;br /&gt;
[1] Marc Alexa, Daniel Cohen-Or, and David Levin. As-rigid-as-possible shape interpolation. In SIG-&lt;br /&gt;
GRAPH ’00: Proceedings of the 27th annual conference on Computer graphics and interactive tech-&lt;br /&gt;
niques, pages 157–164, New York, NY, USA, 2000. ACM Press/Addison-Wesley Publishing Co.&lt;br /&gt;
&lt;br /&gt;
[2] David Douglas and Thomas Peucker. Algorithms for the reduction of the number of points required to&lt;br /&gt;
represent a digitized line or its caricature. The Canadian Cartographer, 10(2):112–122, 1973.&lt;br /&gt;
&lt;br /&gt;
[3] George Hart. Growth forms. In Craig S. Kaplan and Reza Sarhangi, editors, Proceedings of Bridges&lt;br /&gt;
2009: Mathematics, Music, Art, Architecture, Culture, pages 207–214. InType Libra, 2009.&lt;br /&gt;
&lt;br /&gt;
[4] Douglas Hofstadter. Metamagical Themas: Questing for the Essence of Mind and Pattern. Bantam&lt;br /&gt;
Books, 1986.&lt;br /&gt;
&lt;br /&gt;
[5] William S. Huff. The Parquet Deformations, from the Basic Design Studio of William S. Huff at&lt;br /&gt;
Carnegie-Mellon University, Hochschule f ̈ur Gestaltung and State University of New York at Buffalo&lt;br /&gt;
from 1960 to 1980. Unpublished.&lt;br /&gt;
&lt;br /&gt;
[6] Craig S. Kaplan. Metamorphosis in Escher’s art. In Bridges 2008: Mathematical Connections in Art,&lt;br /&gt;
Music and Science, pages 39–46, 2008.&lt;br /&gt;
&lt;br /&gt;
[7] Craig S. Kaplan. Introductory Tiling Theory for Computer Graphics. Morgan &amp;amp; Claypool, 2009.&lt;br /&gt;
&lt;br /&gt;
[8] Craig S. Kaplan and Robert Bosch. TSP art. In Bridges 2005: Mathematical Connections in Art, Music&lt;br /&gt;
and Science, pages 301–308, 2005.&lt;br /&gt;
&lt;br /&gt;
[9] Xiaofeng Mi, Doug DeCarlo, and Matthew Stone. Abstraction of 2d shapes in terms of parts. In NPAR&lt;br /&gt;
’09: Proceedings of the 7th International Symposium on Non-Photorealistic Animation and Rendering,&lt;br /&gt;
pages 15–24, New York, NY, USA, 2009. ACM.&lt;br /&gt;
&lt;br /&gt;
[10] Hans Pedersen and Karan Singh. Organic labyrinths and mazes. In NPAR ’06: Proceedings of the 4th&lt;br /&gt;
international symposium on Non-photorealistic animation and rendering, pages 79–86. ACM Press,&lt;br /&gt;
2006.&lt;br /&gt;
&lt;br /&gt;
[11] Thomas W. Sederberg, Peisheng Gao, Guojin Wang, and Hong Mu. 2D shape blending: An intrinsic&lt;br /&gt;
solution to the vertex path problem. In James T. Kajiya, editor, Computer Graphics (SIGGRAPH ’93&lt;br /&gt;
Proceedings), volume 27, pages 15–18, August 1993.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
=== Full Text === &lt;br /&gt;
http://archive.bridgesmathart.org/2010/bridges2010-95.pdf&lt;br /&gt;
&lt;br /&gt;
[[intern file]]&lt;br /&gt;
&lt;br /&gt;
=== Sonstige Links ===&lt;br /&gt;
http://archive.bridgesmathart.org/2010/bridges2010-95.html&lt;/div&gt;</summary>
		<author><name>Gbachelier</name></author>	</entry>

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