Partial Functional Correspondence

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.

References in corpus (2)

• Manopt, a Matlab toolbox for optimization on manifolds
• Near-Optimal Joint Object Matching via Convex Relaxation

Cited by in corpus (6)

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• Composition Operators, Matrix Representation, and the Finite Section Method: A Theoretical Framework for Maps between Shapes
• Unsupervised Scale-Invariant Multispectral Shape Matching