Color display of a tridimensional function [Visualisation en couleurs d'une fonction tridimensionnelle]
.
A tridimensional function F(x,y,z) can be visualized using a regular mesh.
Each of its (x,y,z) nodes is represented by means of a lighted sphere whose
radius and {R,G,B} colors can display four different scalar values. For
this particular picture, this four parameters as chosen as follows:
________
3 /
RADIUS = A.\/F(x,y,z),
0.30xRED+0.59xGREEN+0.11xBLUE = BxF(x,y,z),
where 'A' and 'B' denote two arbitrary constants, and the linear
combination {0.30,0.59,0.11} gives the luminance of a given color.
Figure "Zoom in on self-similar light clouds" displays sixteen bidimensional cross-section
-using the XY plane- of the function F(x,y,z) used in this example.
This process allows the display of time-dependent functions as exhibited with figure
"Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)"; then, it is suggested to avoid
any observer motion (figure "Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)" shows
simultaneously a tridimensional visualization of a bidimensional cross-section of
the preceding function and a 2.pi rotation of the point of view; the resulting
animation is a little bit confusing).
(CMAP28 WWW site: this page was created on 10/23/1996 and last updated on 12/09/2024 12:45:06 -CET-)
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