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).


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