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SUMMARY:Spectral approaches to partial deformable 3D shape correspondence 
 - Emanuele Rodolà (Università degli Studi di Roma La Sapienza)
DTSTART:20171211T133000Z
DTEND:20171211T143000Z
UID:TALK96475@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this talk we will present our recent line of work on (defor
 mable) partial 3D shape correspondence in the spectral domain. We will fir
 st introduce Partial Functional Maps (PFM)\, showing how to robustly formu
 late the shape correspondence problem under missing geometry with the lang
 uage of functional maps. We use perturbation analysis to show how removal 
 of shape parts changes the Laplace-Beltrami eigenfunctions\, and exploit i
 t as a prior on the spectral representation of the correspondence. We will
  show further extensions to deal with the presence of clutter (deformable 
 object-in-clutter) and multiple pieces (non-rigid puzzles). In the second 
 part of the talk\, we will introduce a novel approach to the same problem 
 which operates completely in the spectral domain\, avoiding the cumbersome
  alternating optimization used in the previous approaches. This allows mat
 ching shapes with constant complexity independent of the number of shape v
 ertices\, and yields state-of-the-art results on challenging correspondenc
 e benchmarks in the presence of partiality and topological noise.  Authors
 : E. Rodola\, L. Cosmo\, O. Litany\, J. Masci\, A. Bronstein\, M. Bronstei
 n\, A. Torsello\, D. Cremers
LOCATION:Seminar Room 1\, Newton Institute
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