Monthly Best Of on 05/29/2001




Elliptical landscape interpolation

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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(CMAP28 WWW site: this page was created on 05/29/2001 and last updated on 06/30/2018 14:02:31 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures:



Welcome aboard A VIRTUAL SPACE-TIME TRAVEL MACHINE
1-1422 reference(s)
Jean-François Colonna
2-1097 reference(s)
Artistic view of the prime numbers
3-658 reference(s)
Quark and gluon dynamics of the nucleon
4-602 reference(s)
Quark and gluon structure of a nucleon
5-549 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
6-542 reference(s)
The 16 most referenced pictures on 01/30/1996
7-447 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
8-446 reference(s)
Cauliflowers, seaweeds, shells,... with fog
9-398 reference(s)
The Birth of the Universe
10-380 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)
11-371 reference(s)
Mountains at sunrise
12-301 reference(s)
Artistic view of the Big Bang
13-293 reference(s)
From Pluto to the Sun (non linear scales)
14-285 reference(s)
The Lorenz attractor
15-285 reference(s)
Zoom in on the von Koch curve
16-273 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
17-266 reference(s)
Beyond the Gate
18-264 reference(s)
Animation of a sunrise on mountains
19-259 reference(s)
From the infinitely small to the infinitely big
20-251 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)
21-245 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
22-245 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
23-242 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
24-232 reference(s)
Tridimensional domino effect
25-230 reference(s)
From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
26-227 reference(s)
Alien
27-225 reference(s)
Synthesis of bidimensional geometrical textures
28-225 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
29-223 reference(s)
Tridimensional zoom in on the Mandelbrot set
30-222 reference(s)
A shell (Jeener surface 1)in motion
31-219 reference(s)
The bidimensional Ising Model with 2-state spins, temperature=0.2, a non-isotropic kernel and random initial conditions
32-217 reference(s)
The three pendulums and three magnets problem computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
33-216 reference(s)
Electron-positron scattering
34-216 reference(s)
The Mandelbrot set computed for 1 to 16 iterations with display of the arguments
35-214 reference(s)
Zoom in on the von Koch curve
36-212 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
37-206 reference(s)
The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)-
38-206 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
39-205 reference(s)
Double impossible staircase
40-205 reference(s)
CMAP
41-201 reference(s)
The erection of the Babel Tower
42-197 reference(s)
Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
43-193 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)
44-192 reference(s)
Along the border of the Mandelbrot set
45-191 reference(s)
16 earth-like planets initially on the same keplerian trajectory
46-186 reference(s)
The Möbius strip
47-186 reference(s)
Self-similar zoom in on tridimensional fractal structure
48-185 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
49-184 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
50-183 reference(s)
N-body problem integration (N=3)with one yellow star and two planets (the red one being very heavy and the blue one being light)
51-181 reference(s)
Rotation about the Y axis of the Boy surface with motion blur
52-180 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
53-180 reference(s)
Electron diffraction
54-180 reference(s)
A twisting rope
55-176 reference(s)
2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
56-174 reference(s)
Texture animation by means of the generalized Fourier filtering process
57-172 reference(s)
Bidimensional billiard with 6 still -initially- particles submitted to an attractive central field of gravity
58-170 reference(s)
Artistic view of Ph(Zeta)
59-168 reference(s)
Zoom in on the quaternionic Mandelbrot set -tridimensional cross-sections-
60-168 reference(s)
Rotation about the X axis of the Lorenz attractor
61-168 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (tridimensional computation)
62-168 reference(s)
N-body problem integration (N=2)displaying a perfect Keplerian orbit
63-167 reference(s)
2 identical grey squares moving over a grey scale
64-166 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
65-166 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
66-166 reference(s)
Bidimensional zoom in on the Mandelbrot set with display of the arguments
67-165 reference(s)
Animation of a quaternionic Julia island
68-165 reference(s)
Bidimensional zoom in on the Z=Gamma(Z)iteration with display of the arguments
69-165 reference(s)
Paradoxal Monument Valley at sunset
70-164 reference(s)
Electron-neutrino scattering
71-163 reference(s)
Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-
72-162 reference(s)
Botticelli anomaly on the Moon
73-161 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
74-161 reference(s)
The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
75-160 reference(s)
Hodograph of the velocity vectors of the 9 planets of the Solar System during one plutonian year
76-159 reference(s)
Translation along the fourth axis of a quaternionic Julia set -tridimensional cross-sections-
77-158 reference(s)
Alien spacecrafts on the Moon
78-157 reference(s)
Zoom in on a quaternionic Julia set -tridimensional cross-sections-
79-156 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
80-156 reference(s)
N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
81-155 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
82-154 reference(s)
Carnival in motion
83-151 reference(s)
Real numbers do not exist for a computer
84-151 reference(s)
display of the inclination of two elliptic trajectories
85-150 reference(s)
Bidimensional visualization of a bidimensional turbulent flow -sensitivity to initial conditions-
86-150 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
87-148 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
88-146 reference(s)
The iterative process used to generate bidimensional fractal fields (16 iterations)
89-146 reference(s)
Tridimensional billiard with 12 -initially- still particles submitted to an attractive central field of gravity
90-145 reference(s)
Tridimensional display of one of the eigenstates (n=8,l=6)of the Hydrogen atom
91-145 reference(s)
Autostereogram with an hidden volcano and an animated disguise texture
92-144 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
93-143 reference(s)
Isotropic random walk of 64 particles on a bidimensional square lattice
94-142 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
95-142 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
96-142 reference(s)
Expansion of a gas inside a bidimensional rectangular box with display of velocity histograms
97-138 reference(s)
The Gate
98-138 reference(s)
Black and white display of a tridimensional function
99-138 reference(s)
Brownian motion of a few heavy slow particles inside a gaz of fast light particles
100-137 reference(s)
The irreversibility of the numerical bidimensional billiard
101-137 reference(s)
More and more craters on the Moon
102-136 reference(s)
N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
103-136 reference(s)
Rotation of a shell (Jeener surface 1)
104-136 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
105-135 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
106-134 reference(s)
Rotation about the X axis of the Lorenz attractor (1000 iterations), computed simultaneously on two different computers
107-134 reference(s)
N-body problem integration (N=9)with a simultaneous 2.pi rotation of the observer
108-132 reference(s)
Very naive view (solar system-like)of the Hydrogen atom
109-132 reference(s)
A quaternionic Julia set -tridimensional cross-section-
110-131 reference(s)
Waltzing snowy Rocky Mountains
111-130 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
112-129 reference(s)
Rotation about the X axis of the 32 vertices of a 5-cube
113-129 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
114-129 reference(s)
Zoom in on mountains (with 3D clipping, bird's-eye view)
115-129 reference(s)
The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
116-128 reference(s)
Texture animation by means of Fourier interpolation
117-128 reference(s)
An arbitrary surface (Jeener surface 2)in motion
118-127 reference(s)
Tridimensional visualization of a bidimensional turbulent flow
119-127 reference(s)
A higly symmetrical system (a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle)can lost very fast the memory of its initial symmetry -with display of velocity histograms-
120-126 reference(s)
Bidimensional zoom in on the Verhulst dynamics
121-126 reference(s)
Liquid Jean-Francois Colonna
122-125 reference(s)
16 complex Julia sets
123-124 reference(s)
Mandelbrot set in the sky
124-123 reference(s)
Artistic view of the trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity
125-122 reference(s)
Flames
126-122 reference(s)
The iterative process used to generate fractal mountains (16 iterations and bird's-eye view)
127-122 reference(s)
The 16 most referenced pictures on 07/26/1996
128-122 reference(s)




2-The 128 most referenced Pages:



1-demo_14
10123 reference(s)
2-AVirtualSpaceTimeTravelMachine.Ang
7250 reference(s)
3-An2000.01.Fra
3178 reference(s)
4-Galerie_ArtAndScience.FV
958 reference(s)
5-ImagesDuVirtuel.01.Fra
766 reference(s)
6-Galerie_NewPictures.FV
749 reference(s)
7-Galerie_ArtisticCreation.FV
743 reference(s)
8-Galerie_QuantumMechanics.FV
693 reference(s)
9-Galerie_CelestialMechanics.FV
648 reference(s)
10-Galerie_DeterministicChaos.FV
647 reference(s)
11-help.
630 reference(s)
12-Galerie_Astrophysics.FV
616 reference(s)
13-Galerie_BestOf.FV
541 reference(s)
14-present.01.
534 reference(s)
15-ExpV_VirE.Fra
520 reference(s)
16-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
464 reference(s)
17-Galerie_DeterministicFractalGeometry.FV
461 reference(s)
18-Galerie_FluidMechanics.FV
435 reference(s)
19-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
412 reference(s)
20-Galerie_NumberTheory.FV
403 reference(s)
21-AVirtualSpaceTimeTravelMachine.Fra
386 reference(s)
22-demo_14.FV
353 reference(s)
23-GenieLogiciel.01.Fra
353 reference(s)
24-Galerie_GeneralitiesVisualization.FV
352 reference(s)
25-copyright.01.
339 reference(s)
26-ImagesDuVirtuel.01.Fra.FV
329 reference(s)
27-Galerie_TextureSynthesis.FV
280 reference(s)
28-Galerie_SensitivityToRoundingOffErrors.FV
276 reference(s)
29-Galerie_SignalProcessing.FV
272 reference(s)
30-An2000.02.Fra
233 reference(s)
31-Galerie_SalonDAutomne.FV
217 reference(s)
32-mail.01.vv
212 reference(s)
33-AQuoiServentLesMathematiques.01
209 reference(s)
34-Fractal.01
198 reference(s)
35-BEST.20010125
192 reference(s)
36-ExpV_VirE.Ang
188 reference(s)
37-BEST.20000323
188 reference(s)
38-create.03.
183 reference(s)
39-hydrogene.61.K.
179 reference(s)
40-VisSci_SciVis.01
175 reference(s)
41-Autostereograms.01.
167 reference(s)
42-AProposSite.01.Fra
167 reference(s)
43-avirtualspacetimetravelmachine.ang
155 reference(s)
44-An2000.01.Ang
152 reference(s)
45-BEST.20010424
150 reference(s)
46-Informations_GoodNewsAndBadNews.01.Ang
149 reference(s)
47-Galerie_DeterministicChaos
149 reference(s)
48-RemarquesCerveau.01
147 reference(s)
49-AvantPropos.01.Ang
145 reference(s)
50-Informations_AboutAnimationAndFiles.01.Ang
142 reference(s)
51-catalogue.11
141 reference(s)
52-AnimFractal.01.
140 reference(s)
53-RealNumbers.01.Fra
138 reference(s)
54-An2000.05.Fra
138 reference(s)
55-An2000.06.Fra
137 reference(s)
56-BEST.20000403
132 reference(s)
57-ExpV_VirE.01.Fra
129 reference(s)
58-BEST.20000517
121 reference(s)
59-JFC
119 reference(s)
60-Commentaires_ProblemeDesNCorps.01
119 reference(s)
61-BEST.20000717
118 reference(s)
62-MonumentValley.01.Ang
117 reference(s)
63-stereogra.01.c.
116 reference(s)
64-Galerie_CelestialMechanics
115 reference(s)
65-LOG_xiMc.11
114 reference(s)
66-Commentaires_DefinitionTransformeeDeFourier.01
114 reference(s)
67-subject.01.
112 reference(s)
68-BEST.20000905
108 reference(s)
69-an2000.01.fra
107 reference(s)
70-Commentaires_DefinitionQuaternions.01
107 reference(s)
71-Commentaires_SystemeSolaire.01
106 reference(s)
72-Vcatalogue.11
105 reference(s)
73-ManyChaos.01.Ang
104 reference(s)
74-Commentaires_ProblemeDesNAimants.01
104 reference(s)
75-Commentaires_EnsembleMandelbrotComplexe.01
104 reference(s)
76-Ariane501.01.Fra
103 reference(s)
77-infinity.01.vv
102 reference(s)
78-Galerie_GeneralitiesVisualization
102 reference(s)
79-BEST.20001024
102 reference(s)
80-BEST.20001205
101 reference(s)
81-ArtScience.01
99 reference(s)
82-An2000.04.Fra
99 reference(s)
83-Kepler.02.
95 reference(s)
84-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis
95 reference(s)
85-Commentaires_DefinitionComplexes.01
95 reference(s)
86-Galerie_DeterministicFractalGeometry
94 reference(s)
87-Commentaires_EnsembleJuliaComplexe.01
92 reference(s)
88-Commentaires_NKleinBottle.01
91 reference(s)
89-Commentaires_FluideInstationnaireBidimensionnelIdeal.01
91 reference(s)
90-Galerie_SensitivityToRoundingOffErrors
89 reference(s)
91-PourLaScience.01.Fra
88 reference(s)
92-PatrimoineHumanite.02.Fra
88 reference(s)
93-DuReelAuVirtuel.01.Fra
87 reference(s)
94-relativity.01.
86 reference(s)
95-MonumentValley.01.Fra
85 reference(s)
96-ExpV_VirE.01.Ang
85 reference(s)
97-VisitesGaleriesEnfouies.01
84 reference(s)
98-ArtOrdinateur.01
84 reference(s)
99-An2000.03.Fra
84 reference(s)
100-jfc
79 reference(s)
101-Commentaires_RacineTroisiemeUniteComplexe.01
79 reference(s)
102-An2000.11.Fra
79 reference(s)
103-ManyChaos.01.Fra
78 reference(s)
104-ImpossibleStructures.01.Ang
78 reference(s)
105-Galerie_ArtisticCreation
78 reference(s)
106-Commentaires_EnsembleJuliaQuaternion.01
77 reference(s)
107-Spheres.01
76 reference(s)
108-Galerie_ArtAndScience
76 reference(s)
109-Commentaires_EnsembleMandelbrotQuaternion.01
76 reference(s)
110-AVirtualSpaceTimeTravelMachine.Ang.FV
76 reference(s)
111-Commentaires_ModeleIsingBiDimensionnel.01
74 reference(s)
112-nCube.21.I.
73 reference(s)
113-Commentaires_StructuresVivantesRecursives.01
72 reference(s)
114-Galerie_NewPictures
71 reference(s)
115-Galerie_QuantumMechanics
70 reference(s)
116-Commentaires_ModeleIsingTriDimensionnel.01
70 reference(s)
117-LumiereVirtuelleParadoxale.01
69 reference(s)
118-GenieLogiciel.01.Ang
68 reference(s)
119-AVirtualSpaceTimeTravelMachine.Fra.FV
68 reference(s)
120-PresidentRepublique.01.Fra
66 reference(s)
121-InformatiqueProfessionnelle.01.Fra
66 reference(s)
122-nCube.22.c.
65 reference(s)
123-Galerie_NumberTheory
65 reference(s)
124-catalogue.11..m4.
63 reference(s)
125-IllusionConnaissance.01
63 reference(s)
126-real.01.vv.
62 reference(s)
127-PresidentRepublique.02.Fra
61 reference(s)
128-PremierMinistre.01.Fra
61 reference(s)

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Copyright (c) Jean-François Colonna, 2001-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2001-2018.