@inproceedings{18319,
  abstract     = {The problem of isometry-invariant representation and comparison of surfaces is of cardinal importance in pattern recognition applications dealing with deformable objects. Particularly, in three-dimensional face recognition treating facial expressions as isometries of the facial surface allows to perform robust recognition insensitive to expressions.
Isometry-invariant representation of surfaces can be constructed by isometrically embedding them into some convenient space, and carrying out the comparison in that space. Presented here is a discussion on isometric embedding into S3, which appears to be superior over the previously used Euclidean space in sense of the representation accuracy.},
  author       = {Bronstein, Alexander and Bronstein, Michael M. and Kimmel, Ron},
  booktitle    = {5th International Conference on Scale-Space Theories in Computer Vision},
  isbn         = {9783540255475},
  issn         = {1611-3349},
  location     = {Hofgeismar, Germany},
  pages        = {622--631},
  publisher    = {Springer Berlin Heidelberg},
  title        = {{Isometric embedding of facial surfaces into S3}},
  doi          = {10.1007/11408031_53},
  volume       = {3459},
  year         = {2005},
}