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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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Submitted on : Monday, May 29, 2006 - 2:48:04 PM
Last modification on : Friday, February 4, 2022 - 3:10:26 AM
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  • HAL Id : inria-00077101, version 1



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



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