Partial Functional Correspondence

E. Rodolà, L. Cosmo, M. M. Bronstein, A. Torsello, D. Cremers

Research output: Contribution to journalArticlepeer-review

196 Scopus citations

Abstract

In this paper, we propose a method for computing partial functional correspondence between non-rigid shapes. We use perturbation analysis to show how removal of shape parts changes the Laplace–Beltrami eigenfunctions, and exploit it as a prior on the spectral representation of the correspondence. Corresponding parts are optimization variables in our problem and are used to weight the functional correspondence; we are looking for the largest and most regular (in the Mumford–Shah sense) parts that minimize correspondence distortion. We show that our approach can cope with very challenging correspondence settings.

Original languageEnglish
Pages (from-to)222-236
Number of pages15
JournalComputer Graphics Forum
Volume36
Issue number1
DOIs
StatePublished - 1 Jan 2017

Keywords

  • I.3.5 [Computational Graphics]: Computational Geometry and Object Modelling-Shape Analysis
  • functional maps
  • partial similarity
  • shape matching

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