Gallery :

Texture Synthesis

[Galerie : Synthèse de Textures]

Jean-François COLONNA

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS
91128 Palaiseau Cedex, France

http://www.lactamme.polytechnique.fr

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]

[The Y2K bug [Le bug de l'an 2000]]
[Do you believe that Real Numbers exist for a computer and that floating point computations are safe ?]
[Please, visit A Virtual Space-Time Travel Machine, the place where you can find more than 4250 pictures between Art and Science]


(CMAP28 WWW site : this page was created on 03/15/2000 and last updated on 05/09/2012 17:35:07 -CEST-)

• Bidimensional Texture Synthesis [Synthèse de Textures Bidimensionnelles] :
• Bidimensional Texture Animation [Animation de Textures Bidimensionnelles] :
• Picture Interpolation [Interpolation d'Images] :
• Tridimensional Texture Synthesis [Synthèse de Textures Tridimensionnelles] :
• Tridimensional Texture Animation [Animation de Textures Tridimensionnelles] :
• Geometrical Structures and Intertwinings [Structures Géométriques et Entrelacs] :
• Applications [Applications] :

Texture Synthesis [Synthèse de Textures] :

Bidimensional Texture Synthesis [Synthèse de Textures Bidimensionnelles] :

Synthesis of bidimensional geometrical textures.	Synthesis of bidimensional geometrical textures.	Synthesis of bidimensional geometrical textures.	Synthesis of bidimensional geometrical textures.	Synthesis of bidimensional textures by means of the generalized Fourier filtering process and accumulation.
Synthesis of bidimensional geometrical textures.	Synthesis of bidimensional geometrical textures.	Synthesis of bidimensional geometrical textures.	No Title 0089.	No Title 0090.
A Tribute to Archimedes.	No Title 0105.	Intertwining.	No Title 0096.	Synthesis of bidimensional textures.
Synthesis of bidimensional textures.	Synthesis of bidimensional textures.	Synthesis of bidimensional textures by means of a fractal process.	Synthesis of bidimensional textures by means of a fractal process.	Synthesis of bidimensional textures by means of a fractal process.
Synthesis of bidimensional textures by means of a fractal process.	Synthesis of bidimensional textures by means of a fractal process.	Synthesis of bidimensional textures by means of a fractal process.	Synthesis of bidimensional textures by means of the self-transformation of a fractal process.	Synthesis of bidimensional textures by means of the self-transformation of a fractal process.
Synthesis of bidimensional textures by means of the self-transformation of a fractal process.	Synthesis of bidimensional textures by means of the self-transformation of a fractal process.	Synthesis of bidimensional textures by means of the self-transformation of a fractal process.	Synthesis of bidimensional textures by means of the self-transformation of a fractal process.	An arbitrary geometrical texture.
Self-transformation of an arbitrary geometrical texture.	Self-transformation of an arbitrary geometrical texture.	An arbitrary geometrical texture.	Self-transformation of an arbitrary geometrical texture.	Self-transformation of an arbitrary geometrical texture.
An arbitrary geometrical texture.	Self-transformation of an arbitrary geometrical texture.	Self-transformation of an arbitrary geometrical texture.	An arbitrary geometrical texture.	Self-transformation of an arbitrary geometrical texture.
Self-transformation of an arbitrary geometrical texture.	An arbitrary geometrical texture.	Self-transformation of an arbitrary geometrical texture.	Self-transformation of an arbitrary geometrical texture.	Synthesis of bidimensional texture by means of the Fourier filtering of a random process and a self-transformation.
Synthesis of bidimensional texture by means of the Fourier filtering of a random process and a self-transformation.	No Title 0062.	Self-transformation of the bidimensional field defining the three coordinates of a Fourier interpolation between a sphere and the Bonan-Jeener's triple Klein bottle.	Self-transformation of the bidimensional field defining the three coordinates of the addition of a sphere and of the Bonan-Jeener's triple Klein bottle.	Self-transformation of the bidimensional field defining the three coordinates of the fractal interpolation between a sphere and the Bonan-Jeener's triple Klein bottle.
No Title 0048.	No Title 0049.	No Title 0104.	No Title 0106.	No Title 0110.
Synthesis of bi and tridimensional geometrical textures.	Synthesis of bidimensional geometrical textures.	Synthesis of bidimensional geometrical textures.	Synthesis of bidimensional geometrical textures.	Synthesis of bidimensional geometrical textures.
Voronoi diagrams.	Artsitic view of Voronoi diagrams.	Artsitic view of Voronoi diagrams.	Artsitic view of Voronoi diagrams.	Artsitic view of Voronoi diagrams.
Artsitic view of Voronoi diagrams.	Synthesis of bidimensional texture by means of Fourier filtering.	Synthesis of bidimensional symmetrical geometrical textures.	Synthesis of bidimensional symmetrical geometrical textures.	No Title 0063.
No Title 0064.	No Title 0065.	No Title 0067.	No Title 0068.	No Title 0069.
No Title 0075.	Octonionic clovers with extended arithmetics.	Octonionic archimedian spirals with extended arithmetics.




Bidimensional Texture Animation [Animation de Textures Bidimensionnelles] :

Texture animation by means of the generalized Fourier filtering process.	Texture animation by means of inertia momentum computation.	Texture animation by means of the Generalized Product.	Texture animation by means of the Generalized Product.	Texture animation by means of the Generalized Product.
Texture animation by means of Fourier filtering of a random walk process.	Bidimensional texture animation by means of the generalized Fourier filtering process and accumulation.	Bidimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions.	Bidimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions.	Bidimensional geometrical texture animation.
Animation of bidimensional textures by means of the self-transformation of a fractal process.	Animation of bidimensional textures by means of the self-transformation of a fractal process.	Animation of bidimensional textures by means of the self-transformation of a fractal process.	Animation of bidimensional textures by means of the self-transformation of a fractal process.	Animation of bidimensional textures by means of the self-transformation of a fractal process.
Animation of bidimensional textures by means of the self-transformation of a fractal process.	Self-transformation of a simple dynamical geometric texture.	Self-transformation of a simple dynamical geometric texture.	Self-transformation of a simple dynamical geometric texture.	Self-transformation of a simple dynamical geometric texture.
Self-transformation of a simple dynamical geometric texture.	Self-transformation of a simple dynamical geometric texture.	Self-transformation of a simple dynamical geometric texture.	Self-transformation of a simple dynamical geometric texture.	Self-transformation of a simple dynamical geometric texture.
Self-transformation of a simple dynamical geometric texture.	Self-transformation of a simple dynamical geometric texture.	Self-transformation of a simple dynamical geometric texture.	Animation of bidimensional textures by means of the self-transformation of a gaussian field.	Animation of bidimensional textures by means of the self-transformation of a gaussian field.




Picture Interpolation [Interpolation d'Images] :

Picture interpolation by means of the Generalized Product.

Texture animation by means of Fourier interpolation.

Texture animation by means of Fourier interpolation.

Cracks.




Tridimensional Texture Synthesis [Synthèse de Textures Tridimensionnelles] :

No Title 0135.	Synthesis of bi and tridimensional geometrical textures.	No Title 0072.	No Title 0092.	No Title 0099.
No Title 0101.	No Title 0107.	No Title 0102.	No Title 0100.	No Title 0103.
Synthesis of tridimensional textures.	Synthesis of tridimensional textures.	Synthesis of tridimensional textures.	Synthesis of tridimensional textures.	Synthesis of tridimensional textures.
Synthesis of tridimensional textures.	Synthesis of tridimensional textures by means of the generalized Fourier filtering process and accumulation.	Synthesis of tridimensional textures by means of a fractal process.	Synthesis of tridimensional textures by means of a fractal process.	Synthesis of tridimensional textures by means of a fractal process.
Synthesis of tridimensional textures by means of a fractal process.	Synthesis of tridimensional textures by means of a fractal process.	Synthesis of periodical tridimensional textures by means of a fractal process.	Synthesis of periodical tridimensional textures by means of a fractal process.	Synthesis of tridimensional textures by means of a fractal process.
Synthesis of tridimensional textures by means of a fractal process.	Synthesis of tridimensional textures by means of a fractal process and of a fourth degree Verhulst-like dynamics.	Synthesis of tridimensional textures by means of a fractal process.	No Title 0050.	Synthesis of tridimensional texture by means of a random process and Fourier filtering.
Synthesis of tridimensional symmetrical geometrical textures.	Synthesis of tridimensional symmetrical geometrical textures.	Synthesis of tridimensional symmetrical geometrical textures.	Synthesis of tridimensional symmetrical geometrical textures.	Synthesis of bi and tridimensional geometrical textures.
Golden ring.	Synthesis of tridimensional textures by means of the self-transformation of three elementary scalar fields.	Synthesis of tridimensional textures by means of the self-transformation of three elementary scalar fields.	Synthesis of tridimensional textures by means of the self-transformation of three elementary scalar fields.	Quaternionic lion.
Quaternionic lion with extended arithmetics.	Quaternionic butterfly with extended arithmetics.	Quaternionic lion with extended arithmetics.	Quaternionic lion with extended arithmetics.	Quaternionic cat.
Quaternionic flower.	Quaternionic ghost.	No Title 0073.	No Title 0058.	No Title 0059.
Quaternionic shell fossil.	Quaternionic shell fossil.	Quaternionic shell.	No Title 0074.	Quaternionic shell with extended arithmetics.
Quaternionic shell.	Quaternionic shell.	No Title 0054.	No Title 0055.	No Title 0056.
No Title 0057.	Octonionic mountains with extended arithmetics.	No Title 0140.	No Title 0141.




Tridimensional Texture Animation [Animation de Textures Tridimensionnelles] :

Synthesis of tridimensional textures.	Tridimensional texture animation by means of the Generalized Product.	Tridimensional texture animation by means of the Generalized Product (bird's-eye view).	Tridimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions (bird's-eye view).	Tridimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions.
Tridimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions.	Tridimensional texture animation by means of the generalized Fourier filtering process and accumulation.




Geometrical Structures and Intertwinings [Structures Géométriques et Entrelacs] :

Intertwining.	Geometrical structure.	Paradoxal structure.	Paradoxal black hole.	Paradoxal structure.
Intertwining.	Intertwining.	Intertwining.	Intertwining.	Intertwining.
Recursive intertwining.	No Title 0114.	Recursive intertwining.	Intertwining.	Intertwining.
Intertwining.	Recursive intertwining.	Intertwining.	Intertwining.	Intertwining.
Intertwining.	Intertwining.	Geometrical structure.	Intertwining.	Intertwining.
Intertwining.	Chessboard.	Recursive chessboard.	Intertwining.	Intertwining.
Intertwining.	Intertwining.	Intertwining.	Intertwining.	Intertwining.
Intertwining.	Intertwining.	Intertwining.	Intertwining.	Intertwining.
Intertwining.	Intertwining.	Intertwining.	Intertwining.	Intertwining.
Intertwining.	Intertwining.	Intertwining.	Intertwining.	Intertwining.
Intertwining.	Intertwining based on the geometry of the sphere.	Chessboard based on the geometry of the sphere.	Intertwining based on the geometry of the sphere.	Intertwining based on the geometry of the sphere.
Intertwining based on the geometry of the sphere.	Intertwining based on the geometry of the sphere.	Intertwining based on the geometry of the Bonan-Jeener's triple Klein bottle.	Chessboard based on the geometry of the Bonan-Jeener's triple Klein bottle.	Intertwining based on the geometry of the Bonan-Jeener's triple Klein bottle.
Intertwining based on the geometry of the Bonan-Jeener's triple Klein bottle.	Intertwining based on the geometry of the Bonan-Jeener's triple Klein bottle.	Intertwining based on the geometry of the Bonan-Jeener's triple Klein bottle.	Intertwining based on the geometry of the Boy surface.	Chessboard based on the geometry of the Boy surface.
Intertwining based on the geometry of the Boy surface.	Intertwining based on the geometry of the Boy surface.	Intertwining based on the geometry of the Boy surface.	Intertwining based on the geometry of the Boy surface.	No Title 0112.
No Title 0113.	Intertwining.	Intertwining.	Intertwining.	Interpolated intertwining.
Fractal intertwining.	Fractal intertwining.	Fractal intertwining.	Network.	Fractal network.
An intertwining animation.	An intertwining animation.	An interpolation between two intertwinings.	An interpolation between two intertwinings.	An animation of the intertwining based on the geometry of the sphere.
An interpolation between an intertwining based on the geometry of the Bonan-Jeener's triple Klein bottle and an intertwining based on the geometry of the sphere.	An interpolation between two intertwinings.	An interpolation between an intertwining based on the geometry of the Bonan-Jeener's triple Klein bottle and an intertwining based on the geometry of the sphere.	An interpolation between two fractal intertwinings.	An interpolation between two fractal intertwinings.
An interpolation between two fractal networks.	An interpolation between two intertwinings.	An interpolation between two intertwinings.	An interpolation between two intertwinings.	An interpolation between two intertwinings.




Applications [Applications] :

Tridimensional texture animation by means of the Generalized Product.

Synthesis of bidimensional stained-glass window.

Synthesis of tridimensional stained-glass window.

Random mosaics.

Random mosaics.

Copyright (c) Jean-François Colonna, 2000-2012.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2000-2012.