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Fractal approximation of 2-D object

Abstract : We present some new techniques for shape approximation with fractals, using iterated function system, a powerful method which allows good control on the resulting fractal. The main point discussed here can be stated as follows : given a grey level image A, find a few number of functions and associated probabilities that approximately generate A. Two directions have been explored : the first uses a gradient method, thus it was necessary to define a smooth error function ; the second one is based upon the ideas of simulated annealing. We then generalize the methods to a broader class of functions, and present some results.
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https://hal.inria.fr/inria-00077101
Contributor : Rapport de Recherche Inria <>
Submitted on : Monday, May 29, 2006 - 2:48:04 PM
Last modification on : Friday, May 25, 2018 - 12:02:06 PM
Long-term archiving on: : Tuesday, September 18, 2012 - 11:25:26 AM

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  • HAL Id : inria-00077101, version 1

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Jacques Lévy Véhel, André Gagalowicz. Fractal approximation of 2-D object. [Research Report] RR-1187, INRIA. 1990. ⟨inria-00077101⟩

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