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.

Partial functional correspondence / Rodolà, E.; Cosmo, L.; Bronstein, M. M.; Torsello, A.; Cremers, D.. - In: COMPUTER GRAPHICS FORUM. - ISSN 0167-7055. - ELETTRONICO. - 36:1(2017), pp. 222-236. [10.1111/cgf.12797]

Partial functional correspondence

Rodolà, E.
;
Cosmo, L.;
2017

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.
2017
functional maps; i.3.5 [computational graphics]; computational geometry and object modelling-shape analysis; partial similarity; shape matching; computer networks and communications
01 Pubblicazione su rivista::01a Articolo in rivista
Partial functional correspondence / Rodolà, E.; Cosmo, L.; Bronstein, M. M.; Torsello, A.; Cremers, D.. - In: COMPUTER GRAPHICS FORUM. - ISSN 0167-7055. - ELETTRONICO. - 36:1(2017), pp. 222-236. [10.1111/cgf.12797]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1067274
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