Gallery (23 different pictures):

Signal Processing

[Galerie (23 images différentes) : Traitement du Signal]

Jean-François COLONNA

www.lactamme.polytechnique.fr

jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, 91120 Palaiseau, France
france telecom, France Telecom R&D

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Signal Processing [Traitement du Signal]:

Fourier Transform
[La Transformée de Fourier].

Wavelet Transform
[La Transformée en Ondelettes].

Structure Reconstruction by means of Simulated Annealing
[Reconstruction de Structures par Recuit Simulé].

Signal Processing [Traitement du Signal]:

Fourier Transform [La Transformée de Fourier]:

More information about the Fourier Transform

Anisotropic gaussian Fourier filtering of a random field with a 2.pi rotation of the kernel.

Synthesis of bidimensional texture by means of Fourier filtering.

Texture animation by means of the generalized Fourier filtering process.

Texture animation by means of Fourier interpolation.

Texture animation by means of Fourier interpolation.

Texture animation by means of Fourier filtering of a random walk process.

Wavelet Transform [La Transformée en Ondelettes]:

A Morlet wavelet.

Wavelet transform of a bidimensional fractal field.	Wavelet transform of a bidimensional fractal field (bird's-eye view).	Wavelet transform of a bidimensional fractal field.	Wavelet transform of a bidimensional fractal field.	Wavelet transform of a bidimensional fractal field (bird's-eye view).
Wavelet transform of a bidimensional fractal field.	Wavelet transform of a bidimensional fractal field (bird's-eye view).

Phase rotation of the wavelet transform of a bidimensional fractal field.

Wavelet filtering of a bidimensional fractal field.

Backward tridimensional integration of the wavelet filtering of a bidimensional fractal field with cross-section.

Backward tridimensional integration of the wavelet filtering of a bidimensional fractal field.

Forward tridimensional integration of the wavelet filtering of a bidimensional fractal field with cross-section.

Forward tridimensional integration of the wavelet filtering of a bidimensional fractal field.

Wavelet reconstruction of a bidimensional fractal field using the 16 first dilatations.

Structure Reconstruction by means of Simulated Annealing [Reconstruction de Structures par Recuit Simulé]:

Reconstruction of a 2D structure -the map of France-.

Reconstruction of a 3D structure -a cubic lattice-.

[More information and visual access to more Signal Processing pictures [Plus d'informations et accès visuel à plus d'images de Traitement du Signal]]

Copyright © Jean-François Colonna, 2000-2023.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2000-2023.