Möbius voting for surface correspondence

@article{Lipman2009MbiusVF,
  title={M{\"o}bius voting for surface correspondence},
  author={Yaron Lipman and Thomas A. Funkhouser},
  journal={ACM Trans. Graph.},
  year={2009},
  volume={28},
  pages={72}
}
The goal of our work is to develop an efficient, automatic algorithm for discovering point correspondences between surfaces that are approximately and/or partially isometric. Our approach is based on three observations. First, isometries are a subset of the Möbius group, which has low-dimensionality -- six degrees of freedom for topological spheres, and three for topological discs. Second, computing the Möbius transformation that interpolates any three points can be computed in closed-form… 

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