Partial Functional Correspondence. (3rd February 2016)

• Record Type: Journal Article
• Authors: Rodolà, E.; Cosmo, L.; Bronstein, M. M.; Torsello, A.; Cremers, D.
• Is Part Of: Computer graphics forum. Volume 36:Number 1(2017)
• Page Start: 222
• Page End: 236
• Publication Date: 2016-02-03
• Subjects: shape matching -- partial similarity -- functional maps -- I.3.5 [Computational Graphics]: Computational Geometry and Object Modelling‐Shape Analysis; Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.12797
• Languages: English
• ISSNs: 0167-7055

Abstract

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. 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.