Isospectralization, or how to hear shape, style, and correspondence of 3D shapes
, Imperial College London / USI Lugano
Date: Tuesday, April 09, 2019
Time: 1:00 PM to 2:00 PM
Location: Seminar Room D507
Event Type: Seminar
Host: Justin Solomon, CSAIL
Contact: Justin Solomon, firstname.lastname@example.org
Speaker URL: https://people.lu.usi.ch/bronstem/
TALK: Isospectralization, or how to hear shape, style, and correspondence of 3D shapes
The question whether one can recover the shape of a geometric object from its Laplacian spectrum (`hear the shape of the drum') is a classical problem in spectral geometry with a broad range of implications and applications. While theoretically the answer to this question is negative (there exist examples of iso-spectral but non-isometric manifolds), little is known about the practical possibility of using the spectrum for shape reconstruction and optimization. In this talk, I will introduce a numerical procedure called isospectralization, consisting of deforming one shape to make its Laplacian spectrum match that of another. We implement the isospectralization procedure using modern differentiable programming techniques and exemplify its applications in some of the classical and notoriously hard problems in geometry processing, computer vision, and graphics such as shape reconstruction, pose and style transfer, and dense deformable correspondence.
(joint work with Luca Cosmo, Mikhail Panine, Arianna Rampini, Maks Ovsjanikov, and Emanuele Rodolà)
Graphics & Vision
Created by Justin Solomon at Wednesday, April 03, 2019 at 11:53 PM.