http://de.evo-art.org/index.php?action=history&feed=atom&title=Smooth_Self-Similar_CurvesSmooth Self-Similar Curves - Versionsgeschichte2026-05-17T00:24:10ZVersionsgeschichte dieser Seite in de_evolutionary_art_orgMediaWiki 1.27.4http://de.evo-art.org/index.php?title=Smooth_Self-Similar_Curves&diff=4000&oldid=prevGbachelier: Die Seite wurde neu angelegt: „ == Reference == Craig S. Kaplan: Smooth Self-Similar Curves. In: Bridges 2011. Pages 209–216 == DOI == == Abstract == I present a technique for …“2015-01-29T12:00:54Z<p>Die Seite wurde neu angelegt: „ == Reference == Craig S. Kaplan: <a href="/index.php?title=Smooth_Self-Similar_Curves" title="Smooth Self-Similar Curves">Smooth Self-Similar Curves</a>. In: <a href="/index.php?title=Bridges_2011" title="Bridges 2011">Bridges 2011</a>. Pages 209–216 == DOI == == Abstract == I present a technique for …“</p>
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== Reference ==<br />
Craig S. Kaplan: [[Smooth Self-Similar Curves]]. In: [[Bridges 2011]]. Pages 209–216 <br />
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== DOI ==<br />
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== Abstract ==<br />
I present a technique for constructing self-similar curves from smooth base curves. The technique is similar to that used in<br />
Iterated Function Systems like the Koch curve, except that it does not require a piecewise linear path in order to induce a set<br />
of similarities. I explain the mathematical machinery behind the technique, describe a practical numerical approximation<br />
that can be implemented in software, and show some results.<br />
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== Extended Abstract ==<br />
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== Bibtex == <br />
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== Used References ==<br />
[1] Michael F. Barnsley. Fractals Everywhere. Morgan Kauffman, second edition, 2000.<br />
<br />
[2] Adam Finkelstein and David H. Salesin. Multiresolution curves. In Proceedings of the 21st annual confer-<br />
ence on Computer graphics and interactive techniques, SIGGRAPH ’94, pages 261–268. ACM, 1994.<br />
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[3] Aaron Hertzmann, Nuria Oliver, Brian Curless, and Steven M. Seitz. Curve analogies. In Proceedings of the<br />
13th Eurographics workshop on Rendering, EGRW ’02, pages 233–246. Eurographics Association, 2002.<br />
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[4] Benoît B. Mandelbrot. The Fractal Geometry of Nature. Times Books, 1983.<br />
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[5] Peter Shirley. Fundamentals of Computer Graphics. A K Peters, second edition, 2005.<br />
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== Links ==<br />
=== Full Text === <br />
http://archive.bridgesmathart.org/2011/bridges2011-209.pdf<br />
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[[intern file]]<br />
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=== Sonstige Links ===<br />
http://archive.bridgesmathart.org/2011/bridges2011-209.html</div>Gbachelier