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.File | Dimensione | Formato | |
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