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APPROXIMATION OF FRACTAL SETS BY JULIA SET ATTRACTORS OF POLYNOMIAL ITERATED FUNCTION SYSTEMS

ALEXANDER V. MELNIKOV

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Abstract

A novel computational solution of the fractal inverse problem is suggested. The method presented is based on the idea of approximating fractal sets by Julia set attractors of polynomial Iterated Function Systems (IFS). An implementation of this method has shown good results and stable convergence both for polynomial Julia sets and other sets with similar features.

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What this paper is about

A novel computational solution of the fractal inverse problem is suggested. The method presented is based on the idea of approximating fractal sets by Julia set attractors of polynomial Iterated Function Systems (IFS). An implementation of this method has shown good results and stable convergence both for polynomial Julia sets and other sets with similar features.

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Available abstract

A novel computational solution of the fractal inverse problem is suggested. The method presented is based on the idea of approximating fractal sets by Julia set attractors of polynomial Iterated Function Systems (IFS). An implementation of this method has shown good results and stable convergence both for polynomial Julia sets and other sets with similar features.

Key concepts: Julia set, Iterated function system, Fractal, Attractor, Mathematics, Polynomial, Convergence (economics), Iterated function

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APPROXIMATION OF FRACTAL SETS BY JULIA SET ATTRACTORS OF POLYNOMIAL ITERATED FUNCTION SYSTEMS — Research Paper | ScholarLens