Definition and Animation of Bi- and Tridimensional Manifolds
by Means of Pseudo-Projections,

Picture Self-Transformations






Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France
france telecom, France Telecom R&D

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[en français/in french]


Abstract: Tridimensional surfaces -bidimensional manifolds- can be defined by means of three matrices and then by means of three grey scale pictures -or again one color picture-. An arbitrary dynamics of a tridimensional surface could then be defined by means of an animation. This can be extended to higher dimensions and used to define picture self-transformation methods.


Keywords: Holographic Principle, Pseudo-Projection, Tridimensional Surfaces, Bidimensional Manifolds, Tridimensional Manifolds, Picture Self-Transformations.



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Copyright (c) Jean-François Colonna, 2004-2014.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2004-2014.