A new approximation procedure for fractals

  • Authors:

  • E. de Amo;I. Chitescu;M. Díaz Carrillo;N. A. Secelean

  • Affiliations:

  • Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04120 Almería, Spain;Facultatea de Matematica, Universitatea Bucuresti, Romania;Departamento de Análisis Matemático, Universidad de Granada, Spain;Department of Mathematics, University "Lucian Blaga" of Sibiu, Romania

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2003

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Abstract

This 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.