Fractals and Quasi-Affine Transformations
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Date
1995
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Publisher
Blackwell Science Ltd and the Eurographics Association
Abstract
In the continuum , contracting affine transformations have a unique fixed point. It is well known that this property is not preserved by dicretization and that the dynamics of discretized functions are very complicated. Discrete geometry allows us to start a theory for these dynamics and to illustrate some of their features by pictures. These pictures, rendered by a simple algorithm, reveal a very large spectrum of fractal structures, from the simplest to the intricatest.
Description
@article{10.1111:1467-8659.1420147,
journal = {Computer Graphics Forum},
title = {{Fractals and Quasi-Affine Transformations}},
author = {Nehlig, P. W. and Reveilles, J.-P.},
year = {1995},
publisher = {Blackwell Science Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.1420147}
}