• DocumentCode
    1398590
  • Title

    Shape Recognition with Spectral Distances

  • Author

    Bronstein, Michael M. ; Bronstein, Alexander M.

  • Author_Institution
    Fac. of Inf., Univ. delta Svizzera Italiana, Lugano, Switzerland
  • Volume
    33
  • Issue
    5
  • fYear
    2011
  • fDate
    5/1/2011 12:00:00 AM
  • Firstpage
    1065
  • Lastpage
    1071
  • Abstract
    Recent works have shown the use of diffusion geometry for various pattern recognition applications, including nonrigid shape analysis. In this paper, we introduce spectral shape distance as a general framework for distribution-based shape similarity and show that two recent methods for shape similarity due to Rustamov and Mahmoudi and Sapiro are particular cases thereof.
  • Keywords
    geometry; shape recognition; diffusion geometry; distribution-based shape similarity; nonrigid shape analysis; pattern recognition; shape recognition; spectral shape distance; Eigenvalues and eigenfunctions; Geometry; Heating; Kernel; Measurement; Shape; Transfer functions; Diffusion distance; Laplace-Beltrami operator; commute time; distribution; eigenmap; global point signature; heat kernel; nonrigid shapes; similarity.; spectral distance;
  • fLanguage
    English
  • Journal_Title
    Pattern Analysis and Machine Intelligence, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0162-8828
  • Type

    jour

  • DOI
    10.1109/TPAMI.2010.210
  • Filename
    5661779