Monthly Best Of on 06/30/2005




Elliptical landscape interpolation with fog

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
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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Contents of this page:


1-The 128 most referenced Pictures:



Snowy multifractal mountains
1-1590 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
2-1100 reference(s)
Quark and gluon structure of a nucleon
3-1014 reference(s)
The random walk of photons escaping the Sun
4-807 reference(s)
Psychedelic hypercube
5-743 reference(s)
Black dots (inside random white squares)on a square lattice
6-702 reference(s)
Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
7-670 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
8-629 reference(s)
Tridimensional heterogeneous fractal structure in a tridimensional torus
9-420 reference(s)
Tridimensional display of the Riemann Zeta function inside (-10.0,+60.0)x(-35.0,+35.0) (bird's-eye view)
10-408 reference(s)
The Lorenz attractor
11-399 reference(s)
Artistic view of the prime numbers
12-397 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
13-359 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
14-346 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
15-340 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
16-322 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
17-317 reference(s)
Quark and gluon structure of a nucleon
18-305 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
19-303 reference(s)
Jean-François Colonna
20-291 reference(s)
Electron-positron scattering
21-270 reference(s)
The iterative process used to generate fractal mountains (16 iterations)
22-267 reference(s)
Along the border of the Mandelbrot set
23-263 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
24-254 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Earth point of view-
25-253 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
26-252 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
27-243 reference(s)
The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
28-242 reference(s)
Paradoxal Monument Valley at sunset
29-241 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
30-238 reference(s)
Artistic view of the Big Bang
31-237 reference(s)
From Pluto to the Sun (non linear scales)
32-234 reference(s)
Autostereogram with an hidden volcano
33-232 reference(s)
Mountains at sunrise
34-232 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
35-228 reference(s)
A shell (Jeener surface 1)in motion
36-228 reference(s)
Cauliflowers, seaweeds, shells,... with fog
37-227 reference(s)
Double impossible staircase
38-226 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
39-222 reference(s)
Golden ring
40-221 reference(s)
Alien
41-218 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
42-216 reference(s)
The random walk of photons escaping the Sun
43-211 reference(s)
The generalized Ulam spiral displaying 100 numbers
44-207 reference(s)
A twisting rope
45-205 reference(s)
Autostereogram with an hidden ring and ghost bows
46-204 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
47-201 reference(s)
Tridimensional zoom in on the Mandelbrot set
48-198 reference(s)
The Birth of the Universe
49-197 reference(s)
Electron diffraction
50-195 reference(s)
Autostereogram with an hidden volcano
51-193 reference(s)
Quark and gluon dynamics of the nucleon
52-193 reference(s)
Zollner optical illusion
53-190 reference(s)
Animation of a quaternionic Julia island
54-187 reference(s)
Vibrations 0001
55-180 reference(s)
Artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
56-179 reference(s)
Autostereogram with an hidden volcano
57-175 reference(s)
Animation of a natural form
58-171 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
59-171 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
60-171 reference(s)
The Bertrand paradox
61-170 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
62-169 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
63-168 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
64-168 reference(s)
Quaternionic Julia island
65-168 reference(s)
Animation of a sunrise on mountains
66-165 reference(s)
The non linear transformation of the coordinates in the Solar System
67-164 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
68-164 reference(s)
The Klein bottle
69-160 reference(s)
From the infinitely small to the infinitely big
70-158 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
71-154 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
72-154 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
73-153 reference(s)
Botticelli anomaly on the Moon
74-151 reference(s)
Hypercube
75-150 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
76-149 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
77-148 reference(s)
Synthesis of tridimensional textures by means of a fractal process
78-148 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
79-148 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
80-147 reference(s)
An Archimedes spiral displaying 1000 numbers
81-146 reference(s)
Jean-François Colonna
82-146 reference(s)
The self-similarity of the von Koch curve
83-145 reference(s)
Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
84-144 reference(s)
Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
85-143 reference(s)
The Earth, the Life and the Sun
86-142 reference(s)
A 'spiraling plane' defined by means of three bidimensional fields with depth of field effect
87-142 reference(s)
The Eratosthene sieve displaying 100x100 numbers
88-142 reference(s)
Rotation about the X axis of the Lorenz attractor
89-142 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
90-139 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
91-138 reference(s)
The Bertrand paradox
92-138 reference(s)
Autostereogram with an hidden volcano
93-137 reference(s)
Spreading of an epidemic -color changes by means of contacts-
94-137 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles
95-137 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
96-135 reference(s)
Happy birthday
97-135 reference(s)
Carnival
98-135 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
99-135 reference(s)
Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
100-134 reference(s)
Tridimensional fractal structure in a tridimensional torus
101-134 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
102-132 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
103-132 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
104-132 reference(s)
The first two iterations of the construction of the von Koch curve
105-130 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
106-130 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
107-130 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
108-129 reference(s)
Along the border of the Mandelbrot set
109-128 reference(s)
The extended Bertrand paradox
110-128 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
111-127 reference(s)
A 'spiraling plane' defined by means of three bidimensional fields
112-126 reference(s)
Tridimensional fractal structure
113-126 reference(s)
Zoom in on light clouds
114-126 reference(s)
Bidimensional domino effect
115-124 reference(s)
Quantum vacuum fluctuations
116-123 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
117-123 reference(s)
The erection of the Babel Tower
118-122 reference(s)
The generalized Ulam spiral displaying 1024 numbers
119-120 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
120-120 reference(s)
Electron-neutrino scattering
121-120 reference(s)
Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
122-118 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
123-117 reference(s)
Voronoi diagrams
124-116 reference(s)
A tridimensional fractal structure
125-115 reference(s)
Texture animation by means of the generalized Fourier filtering process
126-115 reference(s)
La Génèse (1974)
127-114 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
128-113 reference(s)




2-The 128 most referenced Pages:



1-Galerie_GeneralitiesVisualization.FV
3804 reference(s)
2-demo_14
3473 reference(s)
3-An2000.01.Fra
2140 reference(s)
4-AVirtualSpaceTimeTravelMachine.Ang
1354 reference(s)
5-help.
1272 reference(s)
6-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
944 reference(s)
7-Galerie_ArtisticCreation.FV
899 reference(s)
8-Galerie_QuantumMechanics.FV
769 reference(s)
9-Galerie_CelestialMechanics.FV
627 reference(s)
10-Galerie_DeterministicFractalGeometry.FV
545 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
545 reference(s)
12-ExpV_VirE.Fra
541 reference(s)
13-present.01.
525 reference(s)
14-Galerie_ParticleSystems.FV
502 reference(s)
15-Galerie_NumberTheory.FV
487 reference(s)
16-AVirtualSpaceTimeTravelMachine.Fra.FV
474 reference(s)
17-Galeries.01.vv
471 reference(s)
18-AVirtualSpaceTimeTravelMachine.Ang.FV
464 reference(s)
19-mail.01.vv
455 reference(s)
20-demo_14.FV
455 reference(s)
21-copyright.01.
450 reference(s)
22-Informations_AboutPicturesAnimationsAndFiles.01.Ang
443 reference(s)
23-Commentaires_SystemeSolaire.01
443 reference(s)
24-BEST.20000905
436 reference(s)
25-Galerie_ArtAndScience.FV
421 reference(s)
26-ImagesDuVirtuel.01.Fra
418 reference(s)
27-Galerie_TextureSynthesis.FV
409 reference(s)
28-FloatingPointNumbers.01.Ang
408 reference(s)
29-Galerie_DeterministicChaos.FV
394 reference(s)
30-GenieLogiciel.01.Fra
393 reference(s)
31-Fractal.01
393 reference(s)
32-Vcatalogue.11
383 reference(s)
33-ExpV_VirE.11
370 reference(s)
34-Stereogrammes_AutoStereogrammes.01
347 reference(s)
35-FloatingPointNumbers.01.Fra
339 reference(s)
36-AProposSite.01.Fra
333 reference(s)
37-ImagesDuVirtuel.01.Fra.FV
330 reference(s)
38-Galerie_BestOf.FV
313 reference(s)
39-Galerie_SignalProcessing.FV
305 reference(s)
40-MOSA.JFC.F1.F2.20031207
299 reference(s)
41-Commentaires_EspaceLyapunovComplexe.01
298 reference(s)
42-RealNumbers.01.Fra
292 reference(s)
43-Galerie_NewPictures.FV
289 reference(s)
44-Galerie_FluidMechanics.FV
283 reference(s)
45-Galerie_Astrophysics.FV
282 reference(s)
46-BEST.20050128
275 reference(s)
47-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
273 reference(s)
48-subject.01.
269 reference(s)
49-hydrogene.61.K.
269 reference(s)
50-Galerie_DeterministicChaos
268 reference(s)
51-BEST.20010925
268 reference(s)
52-AnimFractal.01.
263 reference(s)
53-MOSA.LYAP.33.10000.20031207
261 reference(s)
54-An2000.02.Fra
260 reference(s)
55-BEST.20030604
259 reference(s)
56-Galerie_NewPictures.DIAPO.0001
258 reference(s)
57-BEST.20020828
258 reference(s)
58-Autostereograms.01.
257 reference(s)
59-AvantPropos.01.Ang
256 reference(s)
60-BEST.20041029
254 reference(s)
61-catalogue.11
252 reference(s)
62-ExpV_VirE.21
252 reference(s)
63-LOG_xiMc.11
251 reference(s)
64-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
251 reference(s)
65-AQuoiServentLesMathematiques.01
247 reference(s)
66-BEST.20030327
246 reference(s)
67-Kepler.02.
245 reference(s)
68-Commentaires_DefinitionTransformeeDeFourier.01
245 reference(s)
69-Galerie_SensitivityToRoundingOffErrors.FV
244 reference(s)
70-BEST.20040629
243 reference(s)
71-Commentaires_ProblemeDesNCorps.01
242 reference(s)
72-Commentaires_ModeleIsingTriDimensionnel.01
240 reference(s)
73-BEST.20030822
240 reference(s)
74-create.03.
239 reference(s)
75-Galerie_CelestialMechanics
238 reference(s)
76-Galerie_BestOf.DIAPO.0001
238 reference(s)
77-BEST.20040127
238 reference(s)
78-stereogra.01.c.
234 reference(s)
79-Galerie_QuantumMechanics.DIAPO.0001
234 reference(s)
80-ArtScience.01
234 reference(s)
81-BEST.20031126
233 reference(s)
82-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
232 reference(s)
83-Galerie_DeterministicFractalGeometry
231 reference(s)
84-Ariane501.01.Fra
229 reference(s)
85-Galerie_NewPictures.DIAPO.0002
228 reference(s)
86-Commentaires_NKleinBottle.01
228 reference(s)
87-Commentaires_ModeleIsingBiDimensionnel.01
228 reference(s)
88-MOSA.PAYS.u9.M.20031207
227 reference(s)
89-Commentaires_RacinesNIemesUniteComplexes.01
225 reference(s)
90-Galerie_ArtisticCreation.DIAPO.0001
224 reference(s)
91-Galerie_DeterministicFractalGeometry.DIAPO.0001
223 reference(s)
92-Galerie_DeterministicChaos.DIAPO.0001
223 reference(s)
93-Galerie_CelestialMechanics.DIAPO.0001
223 reference(s)
94-Galerie_ParticleSystems
219 reference(s)
95-Commentaires_DefinitionQuaternions.01
218 reference(s)
96-An2000.11.Fra
218 reference(s)
97-Galerie_SalonDAutomne.FV
217 reference(s)
98-Galerie_ArtAndScience.DIAPO.0001
217 reference(s)
99-Commentaires_EnsembleMandelbrotQuaternion.01
217 reference(s)
100-Galerie_Astrophysics.DIAPO.0001
216 reference(s)
101-VisSci_SciVis.01
215 reference(s)
102-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
214 reference(s)
103-Commentaires_KleinBottle.01
214 reference(s)
104-Commentaires_EnsembleMandelbrotComplexe.01
214 reference(s)
105-RemarquesCerveau.01
212 reference(s)
106-ImpossibleStructures.01.Ang
212 reference(s)
107-VirtualChaos.01.Ang
211 reference(s)
108-Commentaires_JeenerMobuisManifold.01
211 reference(s)
109-VirtualChaos.01.Fra
210 reference(s)
110-Galerie_ParticleSystems.DIAPO.0001
209 reference(s)
111-ArtOrdinateur.01
209 reference(s)
112-Galerie_CollaborativeWorks..FV
208 reference(s)
113-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
208 reference(s)
114-Commentaires_DefinitionComplexes.01
208 reference(s)
115-Galerie_GeneralitiesVisualization.DIAPO.0001
206 reference(s)
116-Galerie_FluidMechanics.DIAPO.0001
206 reference(s)
117-An2000.01.Ang
206 reference(s)
118-Commentaires_ProblemeDesNAimants.01
205 reference(s)
119-JFC
204 reference(s)
120-Galerie_BestOf.DIAPO.0002
204 reference(s)
121-Galerie_NumberTheory.DIAPO.0001
203 reference(s)
122-An2000.05.Fra
203 reference(s)
123-infinity.01.vv
202 reference(s)
124-catalogue.11..m4.
202 reference(s)
125-Galerie_NewPictures.DIAPO.0003
202 reference(s)
126-Commentaires_SurfaceDeBoy.01
201 reference(s)
127-MonumentValley.01.Fra
200 reference(s)
128-Commentaires_NKleinBottle.02
200 reference(s)

And now, enjoy visiting A Virtual Space-Time Travel Machine.




Copyright (c) Jean-François Colonna, 2005-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2005-2018.