Art and Science




Synthesis of bidimensional textures

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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(Exhibition at the Ecole Polytechnique for World Year of Physics 2005)



Keywords: Anaglyphs, Art and Science, Artificial Intelligence, Artistic Creation, Autostereograms, Celestial Mechanics, Computer Graphics, Deterministic Chaos, Fractal Geometry, Generative Artificial Intelligence, Intertwinings, Mathematics, Natural Phenomenon Synthesis, Numerical Simulation, Physics, Picture Synthesis, Quantum Mechanics, Rounding-off Errors, Scientific Visualization, Sensitivity to Rounding-Off Errors, Software Engineering, Stereograms, Texture Synthesis, Virtual Experimentation, Virtual Space-Time Travel.



Artistic view of a quadridimensional Calabi-Yau manifold Quantum vacuum fluctuations Quark and gluon structure of a nucleon Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation) Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents- The Lorenz attractor The particle trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity Untitled 0031 Untitled 0020 Exploding tridimensional fractal aggregate The tridimensional Ising Model with 2-state spins, temperature=0.1 and random initial conditions The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section- A quaternionic Julia set -tridimensional cross-section- Quaternionic Julia island Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections- Mountains at sunrise Fractal synthesis of mountains with vegetation and stormy clouds Mystery mountain at sunrise Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer- The foggy Babel Tower -a Tribute to Brueghel the Elder- Botticelli anomaly on the Moon Untitled 0026 Tridimensional fractal structure Alien A Peano 'fractal plane' defined by means of three bidimensional fields Synthesis of tridimensional textures by means of a fractal process The bidimensional field defining the three coordinates of a fractal surface Synthesis of bidimensional textures Backward tridimensional integration of the wavelet filtering of a bidimensional fractal field Artistic view of the tridimensional integration of the phase rotation of the wavelet transform of a bidimensional fractal field Synthesis of tridimensional symmetrical geometrical textures Voronoi diagrams Synthesis of bidimensional geometrical textures The Scream -a Tribute to Edvard Munch- The Solar System with a dark blue virtual planet -virtual planet point of view- Artistic view of the Solar System viewed from a virtual planet Artistic view of the Solar System viewed from a virtual planet -a Tribute to Isaac Newton- The random walk of photons escaping the Sun Artistic view of the Big Bang The Birth of the Universe


Copyright © Jean-François COLONNA, 2005-2026.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2005-2026.