Shape Approximation by a Fractal Model

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dc.contributor.authorLevy-Vehel, J.en_US
dc.contributor.authorGagalowicz, A.en_US
dc.date.accessioned2015-10-05T07:55:24Z
dc.date.available2015-10-05T07:55:24Z
dc.date.issued1987en_US
dc.description.abstractThe use of fractals to synthesize complex objects is of current interest in the computer graphics community. A powerful way to compute fractals is the use of IFS (iterated function system) which is a set of contractions with associated probabilities which characterize the fractal. This theory, developed by M. Barnsley and al., can produce very complicated objects. We present a method to solve the inverse problem for these globally constructed fractals : given a set A (attractor), find an IFS that will approximately generate A. We use an optimisation method to minimize a distance between A and the current set L. Several distances have been tested and an algorithm has been implemented which gives good results. A test image is presented.en_US
dc.description.seriesinformationEG 1987-Technical Papersen_US
dc.identifier.doi10.2312/egtp.19871013en_US
dc.identifier.issn1017-4656en_US
dc.identifier.urihttps://doi.org/10.2312/egtp.19871013en_US
dc.publisherEurographics Associationen_US
dc.titleShape Approximation by a Fractal Modelen_US
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EG1987 Proceedings (Technical Papers)
EG1987 Proceedings (Technical Papers)