Polygon-Based Fractals from Compressed Iterated Function Systems

Van Loocke Philip

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Polygon-Based Fractals from Compressed Iterated Function Systems

机译：压缩迭代函数系统中基于多边形的分形

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A proposed method generates various fractal textures for regular polygons and allows the creation of polygon-based fractal flakes, polygon-based spirals, and many other forms. To control attractors in an understandable way, this method uses a small number of parameters. It's based on iterated function systems (IFSs) with linear holomorphic functions in one complex variable. To compress such systems, this method employs a contraction-free function. It also implements sth-order restriction, a new version of recurrent IFSs. Level-specified symmetry in the fractals is controlled through rth-level symmetrization.

机译：提出的方法为规则的多边形生成各种分形纹理，并允许创建基于多边形的分形薄片，基于多边形的螺旋以及许多其他形式。为了以一种易于理解的方式控制吸引子，该方法使用少量参数。它基于在一个复杂变量中具有线性全纯函数的迭代函数系统（IFS）。为了压缩这样的系统，该方法采用了无收缩功能。它还实现了sth-order限制，这是循环IFS的新版本。分形中指定级别的对称性是通过第r级对称性来控制的。

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来源
《Computer Graphics and Applications, IEEE》 |2010年第2期|p.34-44|共11页
作者
Van Loocke Philip;
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作者单位

University of Ghent;

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原文格式 PDF
正文语种 eng
中图分类
关键词
computer graphics; fractal texture; graphics and multimedia; iterated function systems; polygon; rth-level symmetry; sth-order restriction;

机译：计算机图形学;分形纹理;图形和多媒体;迭代功能系统;多边形;rth级对称;sth阶约束;

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Polygon-Based Fractals from Compressed Iterated Function Systems

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