Shape recognition with spectral distances

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106 Scopus citations

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.

Original languageEnglish
Article number5661779
Pages (from-to)1065-1071
Number of pages7
JournalIEEE Transactions on Pattern Analysis and Machine Intelligence
Volume33
Issue number5
DOIs
StatePublished - 2011
Externally publishedYes

Funding

Funders
Office of Naval Research

    Keywords

    • Diffusion distance
    • Laplace-Beltrami operator
    • commute time
    • distribution
    • eigenmap
    • global point signature
    • heat kernel
    • nonrigid shapes
    • similarity
    • spectral distance

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