Re: ContourPlot3D and mapping

*To*: mathgroup at smc.vnet.net*Subject*: [mg55079] Re: ContourPlot3D and mapping*From*: Jon Harrop <usenet at jdh30.plus.com>*Date*: Fri, 11 Mar 2005 04:21:10 -0500 (EST)*References*: <d0p8ch$j8c$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

homh at momentum.chem.queensu.ca wrote: > I have a surface that is described by a function f[x,y,x] = C. I need to > map the values of another function g[x,y,z] on this surface, probably by > some kind of color scheme. It is something like giving "texture" to > an isovalue surface. Consider the 3D contour plot generated by: graph = ContourPlot3D[x^2 + y^2 + z^2 - 1, {x, -2, 2}, {y, -2, 2}, {z, -2, 2}, PlotPoints -> 6]; The following function replaces all polygons in "g" with colored polygons using a color "f": ReColor[f_, g_] := g[[1]] /. Polygon[p_] :> Block[{r = Mean[p]}, {f[r], Polygon[p]}] This example coloring function "f" can be applied to our example contour plot: f[{x_, y_, z_}] := RGBColor[(x + 1)/2, (y + 1)/2, (z + 1)/2] The result can be rendered using: Show[Graphics3D[ReColor[f, graph]], Lighting -> False] -- Dr Jon D Harrop, Flying Frog Consultancy http://www.ffconsultancy.com