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Partial Functional Correspondence
Author(s) -
Rodolà E.,
Cosmo L.,
Bronstein M. M.,
Torsello A.,
Cremers D.
Publication year - 2017
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/cgf.12797
Subject(s) - correspondence problem , eigenfunction , correspondence analysis , exploit , computer science , representation (politics) , mathematics , distortion (music) , spectral representation , perturbation (astronomy) , algorithm , artificial intelligence , eigenvalues and eigenvectors , machine learning , computer security , amplifier , computer network , quantum electrodynamics , physics , bandwidth (computing) , quantum mechanics , politics , political science , law
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.