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Fractals and Quasi‐Affine Transformations
Author(s) -
Nehlig P. W.,
Reveilles J.P.
Publication year - 1995
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.1420147
Subject(s) - affine transformation , fractal , discretization , property (philosophy) , simple (philosophy) , computer science , affine shape adaptation , affine geometry , harris affine region detector , dynamics (music) , affine coordinate system , mathematics , geometry , affine combination , affine space , mathematical analysis , physics , philosophy , epistemology , acoustics
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.