@Article{brunton14,
  author    = {A.~Brunton and M.~Wand and S.~Wuhrer and H.-P.~Seidel and T.~Weinkauf},
  title     = {A Low-Dimensional Representation for Robust Partial Isometric Correspondences Computation},
  journal   = {Graphical Models},
  year      = {2014},
  volume    = {76},
  number    = {2},
  pages     = {70--85},
  month     = {March},
  abstract  = {Intrinsic shape matching has become the standard approach for pose
              invariant correspondence estimation among deformable shapes. Most
              existing approaches assume global consistency. While global isometric
              matching is well understood, only a few heuristic solutions are known
              for partial matching. Partial matching is particularly important
              for robustness to topological noise, which is a common problem in
              real-world scanner data. We introduce a new approach to partial isometric
              matching based on the observation that isometries are fully determined
              by local information: a map of a single point and its tangent space
              fixes an isometry. We develop a new representation for partial isometric
              maps based on equivalence classes of correspondences between pairs
              of points and their tangent-spaces. We apply our approach to register
              partial point clouds and compare it to the state-of-the-art methods,
              where we obtain significant improvements over global methods for
              real-world data and stronger guarantees than previous partial matching
              algorithms.},
  url = {http://tinoweinkauf.net/publications/absbrunton14.html},
}