Non-distorted Texture Mapping for Sheared Triangulated Meshes

This article introduces new techniques for non-distorted texture mapping on complex triangulated meshes. Texture coordinates are assigned to the vertices of the triangulation by using an iterative optimization algorithm, honoring a set of constraints minimizing the distortions. As compared to other global optimization techniques, our method allows the user to specify the surface zones where distortions should be minimized in order of preference. The modular approach described in this paper results in a highly flexible method, facilitating a customized mapping construction. For instance, it is easy to align the texture on the surface with a set of user defined isoparametric curves. Moreover, the mapping can be made continuous through cuts, allowing to parametrize in one go complex cut surfaces. It is easy to specify other constraints to be honored by the so-constructed mappings, as soon as they can be expressed by linear (or linearizable) relations. This method has been integrated su...

• Type: Conference
• Year: 1998
• Where: SIGGRAPH
• Authors: Bruno Lévy, Jean-Laurent Mallet
• Keywords: Complex Triangulated Meshes, Computer Graphics, Non-distorted Texture Mapping, SIGGRAPH 1998, Texture Coordinates