I need to find an approach to the problem of generating texture maps for non-convex polyhedrons without using a design tool like Maya. Specifically, I am mapping simulation results data onto a 3D surface, and I need to write code which generates the maps.
One generic approach uses a gradient color brush as an overall texture to just map colors, but if the facets in the polyhedron are very narrow or the mapped (u,v) coordinates are very far apart on the same facet, the image gets noisy. Another approach employs Phong or Gouraud Shading, but those features are missing in some 3D libraries which favor texturing over specifying colors at each vertex. So, I'm looking for a way to get a good texture map generated.
If it helps in identifying a correct algorithm, all of the surfaces entirely enclose a 3-D space, there is no facet normal data, and I'll be able to identify a "parting line" which segregates one part of the surface from the other, as one might in order to create a mold for the shape.