Non-Distorted Texture Mapping For Sheared Triangulated Meshes

@inproceedings{LévyRM1998a,
 abstract = { This article introduces new techniques for non·distorted texture mapping on complex triangulated meshes. Texture coordinates are assigned to the vertices of the triangul ation by using an iteralÎve optimization algorithm, honoring a sel of constrainls minimizing the distortions. As compared to other global optimization techniques, our method allows the user to specify th;: surface mIles 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, il is easy to align the texture on the surface with a set of user defined isoparametric curves. Moreover, the mapping can be made con· tinuous through cuts, allowing ta parametrize in one go complex cut surfaces. Il is easy ta specify other constraints to be honored by the so·constructed mappings, as saon as they can be expressed by !inear (or li nearizable) relations. This method has been inte· grated successfully within a widely used C.A.D. software dedicated ta geasc iences. In this context, applications of the method corn· prise numerical computations of physical properti es stored in fine grids within texture space, unfolding gealogicallayers and generat· ing grids that are suitable for finite element analysis. The impact of the method could be also important for 3D paint systems. },
 author = { Levy, Bruno AND Mallet, Jean-Laurent },
 booktitle = { 17th gOcad Meeting },
 month = { "june" },
 publisher = { ASGA },
 title = { Non-Distorted Texture Mapping For Sheared Triangulated Meshes },
 year = { 1998 }
}