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RESEARCH PRODUCT

A new approximation procedure for fractals

E. De AmoM. Díaz CarrilloNicolae Adrian SeceleanI. Chitescu

subject

ContractionComputationNumerical analysisApplied MathematicsMathematical analysisAttractorHausdorff–Pompeiu distanceFixed pointFixed pointComputational MathematicsFractalNumerical approximationAttractorApproximation procedureFractalFinite setMathematics

description

AbstractThis paper is based upon Hutchinson's theory of generating fractals as fixed points of a finite set of contractions, when considering this finite set of contractions as a contractive set-valued map.We approximate the fractal using some preselected parameters and we obtain formulae describing the “distance” between the “exact fractal” and the “approximate fractal” in terms of the preselected parameters. Some examples and also computation programs are given, showing how our procedure works.

yearjournalcountryeditionlanguage
2003-02-01Journal of Computational and Applied Mathematics
10.1016/s0377-0427(02)00752-5http://dx.doi.org/10.1016/s0377-0427(02)00752-5