Global Parametrization of Range Image Sets

We present a method to globally parameterize a surface represented by height maps over a set of planes (range images). In contrast to other parameterization techniques, we do not start with a man ifold mesh. The parameterization we compute defines a manifold structure, it is seamless and globally smooth, can be aligned to geometric features and shows good quality in terms of angle and area preservation, comparable to current parameterization techniques for meshes. Computing such global seamless parameterization makes it possible to perform quad remeshing, texture mapping and texture synthesis and many other types of geometry processing operations. Our approach is based on a formulation of the Poisson equation on a manifold structure defined for the surface by the range images. Construction of such global parameterization requires only a way to project surface data onto a set of planes, and can be applied directly to implicit surfaces, nonmanifold surfaces, very large meshes, and collections of range scans. We demonstrate application of our technique to all these geometry types.

Talk Slides

@Article\{PTSZ11,
  author       = "Pietroni, Nico and Tarini, Marco and Sorkine, Olga and Zorin, Denis",
  title        = "Global Parametrization of Range Image Sets",
  journal      = "ACM Transactions on Graphics, Proceedings of SIGGRAPH Asia 2011",
  number       = "6",
  volume       = "30",
  year         = "2011",
  keywords     = "Computational Geometry and Object Modeling: Geometric algorithms, languages, and systems",
  url          = "http://vcg-legacy.isti.cnr.it/Publications/2011/PTSZ11"
}