@INPROCEEDINGS{Levy98NDTM,
    author = { Levy, Bruno and Mallet, Jean-Laurent },
     title = { Non-Distorted Texture Mapping for Sheared Triangulated Meshes },
     month = { "jul" },
 booktitle = { Computer Graphics (Proc. Siggraph.) },
   chapter = { 0 },
      year = { 1998 },
     pages = { 343--352 },
 publisher = { ACM Press, New York, NY },
  abstract = { 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
successfully within a widely used C.A.D. software dedicated
to geosciences. In this context, applications of the method comprise
numerical computations of physical properties stored in fine
grids within texture space, unfolding geological layers and generating
grids that are suitable for finite element analysis. The impact of
the method could be also important for 3D paint systems. }
}