A Correspondence-Less Approach to Matching of Deformable Shapes

  • Jonathan Pokrass
  • Alexander M. Bronstein
  • Michael M. Bronstein
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6667)


Finding a match between partially available deformable shapes is a challenging problem with numerous applications. The problem is usually approached by computing local descriptors on a pair of shapes and then establishing a point-wise correspondence between the two. In this paper, we introduce an alternative correspondence-less approach to matching fragments to an entire shape undergoing a non-rigid deformation. We use diffusion geometric descriptors and optimize over the integration domains on which the integral descriptors of the two parts match. The problem is regularized using the Mumford-Shah functional. We show an efficient discretization based on the Ambrosio-Tortorelli approximation generalized to triangular meshes. Experiments demonstrating the success of the proposed method are presented.


deformable shapes partial matching partial correspondence partial similarity diffusion geometry Laplace-Beltrami operator shape descriptors heat kernel signature Mumford-Shah regularization 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Jonathan Pokrass
    • 1
  • Alexander M. Bronstein
    • 1
  • Michael M. Bronstein
    • 2
  1. 1.Dept. of Electrical EngineeringTel Aviv UniversityIsrael
  2. 2.Inst. of Computational Science, Faculty of InformaticsUniversità della Svizzera ItalianaLuganoSwitzerland

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