Generalities about Visualization

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Jean-François COLONNA

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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(CMAP28 WWW site: this page was created on 03/15/2000 and last updated on 06/11/2019 21:12:38 -CEST-)

- Curve Visualization [
*Visualisation de Courbes*]: - Surface Visualization [
*Visualisation de Surfaces*]: - Tridimensional Manifold Visualization [
*Visualisation de Variétés Tridimensionnelles*]: - Tridimensional Visualization of Bidimensional Scalar Fields [
*Visualisation de Champs Scalaires Bidimensionnels*]: - Visualization of Tridimensional Scalar Fields [
*Visualisation de Champs Scalaires Tridimensionnels*]: - Visualization of Tridimensional Vector Fields [
*Visualisation de Champs de Vecteurs Tridimensionnels*]: - Visualization of Bidimensional Time-Dependent Scalar Fields [
*Visualisation de Champs Scalaires Bidimensionnels Dépendant du Temps*]: - Visualization of Tridimensional Time-Dependent Scalar Fields [
*Visualisation de Champs Scalaires Tridimensionnels Dépendant du Temps*]: - Enhancement of the Third Dimension -Fog, Depth of Field, Lighting,...- [
*Améliorations de la Perception de la Troisième Dimension -Brouillard, Profondeur de Champ, Eclairage,...-*]: - Stereograms [
*Stéréogrammes*]: - Autostereograms [
*Autostéréogrammes*]:
[more information]
- Autostereograms of a Volcano [
*Autostéréogrammes d'un Volcan*]: - Autostereograms of Quaternionic Julia Sets [
*Autostéréogrammes d'Ensembles de Julia Calculés dans le Corps des Quaternions*]: - More Autostereograms [
*Autres Exemples d'Autostéréogrammes*]: - Anaglyphs [
*Anaglyphes*]: - Fourth Dimension Visualization [
*Visualisation de la Quatrième Dimension*]: - N-Dimensional Space Visualization [
*Visualisation d'Espaces à N Dimensions*]: - Time Visualization [
*Visualisation du Temps*]: - Relative Motions, Points of View and Virtual (or Subjective) Chaos [
*Mouvements Relatifs, Points de Vue et Chaos Virtuel (ou Subjectif)*]: - Optical Illusions and Various Problems [
*Illusions d'optique et Problèmes Divers*]:

A Part of the DNA double helix -a tribute to Francis Crick-. |

A twisting rope. |

3-foil knot. |

A one sheet hyperboloid of revolution -negative curvature-. | A plane -zero curvature-. | A sphere -positive curvature-. |

A sphere. | A set of spheres with holes. | A set of twisted spheres. | A sphere defined by means of three bidimensional fields. | The pseudo-sphere -a Tribute to Jacques Cartier-. |

A cylinder. | A cone. | A two sheet hyperboloid of revolution. |

A torus. | A torus. | A torus by means of three bidimensional fields. |

3-foil torus knot on its torus. | 3-foil torus knot on its torus. | 5-foil torus knot on its torus. | 5-foil torus knot on its torus. | 7-foil torus knot on its torus. |

7-foil torus knot on its torus. |

The double Jeener bottle. |

The Jeener's quadruple bilateral bottle. | The Jeener's quadruple bilateral bottle. | The quadruple Jeener bottle. |

The Jeener's quintuple Klein bottle. | The Jeener's quintuple Klein bottle. | The Jeener's quintuple Klein bottle. | Artistic view of the Jeener's quintuple Klein bottle. |

The interlaced epicycloidal Jeener bottle. | The interlaced epicycloidal Jeener bottle. | The interlaced epicycloidal Jeener bottle. |

The interlaced hypocycloidal Jeener bottle. |

A Lissajous surface. | A Lissajous surface. | A Lissajous surface. | A Lissajous surface in motion. | A twisting Lissajous surface. |

Archimedian gaussian surface (bird's-eye view). |

Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation). |

A fractal landscape. | Wavelet transform of a bidimensional fractal field. |

Black and white display of a tridimensional function. | Black and white display of a tridimensional function. | Color display of a tridimensional function. | Color display of a tridimensional function. |

Dynamics of a bidimensional fractal structure. | Tridimensional fractal structure. |

Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation). |

Cauliflowers, seaweeds, shells,... with fog. |

Depth of field effect. | Depth of field effect with motion blur. | A 'spiraling plane' defined by means of three bidimensional fields with depth of field effect. |

Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') for sixteen different lightings -tridimensional cross-section-. |

A set of 4x3 stereograms of a fractal-fractal tree. |

A set of 4x3 stereograms of a fractal Notre-Dame de la Garde, Marseilles. |

[do you want to know how to generate an autostereogram with a C test program?]

Anaglyph -blue=right, red=left- of a fractal Notre-Dame de la Garde, Marseilles. |

Anaglyph -green=right, red=left- of a tridimensional display of the Mandebrot set. |

Hypercube. |

N-dimensional random structure. | N-dimensional random structure. |

Tridimensional display of the dynamics of the bidimensional John Conway's life game. | Tridimensional display of the dynamics of the bidimensional John Conway's life game. |

N-body problem integration (N=10) displaying the actual Solar System with its simultaneous 2.pi rotation. | The Solar System with a dark blue virtual planet -virtual planet point of view-. |

Tridimensional visualization of a bidimensional turbulent flow. |

A shell (Jeener surface 1) in motion. | The Klein bottle in motion. | An arbitrary surface (Jeener surface 2) in motion. | A Lissajous surface in motion. | The Lorenz attractor in motion. |

Synthesis of tridimensional textures. | Dynamics of a bidimensional fractal structure. |

2 identical grey squares moving over a grey scale. | Two identical grey rectangles in front of a grey scale. | A uniform grey stripe on a grey scale. | The Sierpinski carpet -iteration 5-. |

Black dots (inside random white squares) on a square lattice. | Zollner optical illusion. |

Geometrical distorsion. |
Geometrical distorsion. |
Geometrical distorsion. |

Three ghost squares. |

Vibrations 0001. | Vibrations 0002. | Vibrations 0003. |

Heap or hole? |
Cube "in" or cube "out"? |
Perspective anomaly with the RGB cube. |

Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process. |

The same bidimensional scalar field displayed with 4 different color palettes. | The same bidimensional scalar field displayed with 4 different color palettes. |

The 1.000 first digits -base 10- of 'pi' displayed on an helix -bad point of view-. | The 1.000 first digits -base 10- of 'pi' displayed on an helix -good point of view-. |

The connexity of the Mandelbrot set. | The connexity of the Mandelbrot set. |

Bidimensional clouds or height field. | Different modes of representation of a tridimensional cross-section of a Quaternionic Julia set. |

The defaults of the JPEG encoding. |

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