A Spectral Perspective on Shapes

Supervisor
Ron Kimmel - Technion, Haifa, Israele
Date and time
Friday, October 14, 2016 at 11:00 AM - Rinfresco 10.45, inizio seminario 11.00
Programme Director
Umberto Castellani
External reference
Publication date
September 5, 2016
Department
Computer Science  

Summary

The differential structure of surfaces captured by the Laplace Beltrami Operator (LBO) can be used to construct a space for analyzing visual and geometric information. The decomposition of the LBO at one end, and the heat operator at the other end provide us with efficient tools for dealing with images and shapes. Denoising, matching, segmenting, filtering, exaggerating are just few of the problems for which the LBO provides a convenient operating environment. We will review the optimality of a truncated basis provided by the LBO, and a selection of relevant metrics by which such optimal bases are constructed. A specific example is the scale invariant metric for surfaces, that we argue to be a natural choice for the study of articulated shapes and forms.

http://www.cs.technion.ac.il/~ron/





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