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Issue No.02 - March/April (2010 vol.30)
pp: 34-44
Philip Van Loocke , University of Ghent
ABSTRACT
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.
INDEX TERMS
iterated function systems, polygon, fractal texture, sth-order restriction, rth-level symmetry, computer graphics, graphics and multimedia
CITATION
Philip Van Loocke, "Polygon-Based Fractals from Compressed Iterated Function Systems", IEEE Computer Graphics and Applications, vol.30, no. 2, pp. 34-44, March/April 2010, doi:10.1109/MCG.2009.84
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