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

Picture Self-Transformations






Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, 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 © Jean-François COLONNA, 2004-2023.
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