Partial Functional Correspondence
This addresses shape correspondence in computer graphics or geometry processing, likely incremental as it builds on functional correspondence methods.
The paper tackles the problem of computing partial functional correspondence between non-rigid shapes by using perturbation analysis to model part removal effects on eigenfunctions and optimizing for large, regular corresponding parts to minimize distortion, showing effectiveness in challenging settings.
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.