Vision and Imaging Science Seminar: Deformation models for image and shape matching

Speaker: Professor Ronen Basri, Weizmann Institute of Science
UCL Contact: Lourdes Agapito (Visitors from outside UCL please email in advance).
Date/Time: 23 May 17, 11:00 - 12:00
Venue: Room 405, 66-72 Gower Street

Abstract

Modeling deformations is important for various applications in computer vision, graphics and geometry processing. In this talk I will describe our recent progress in modeling deformations. In particular, I will describe methods for computing bounded distortion transformations, locally injective maps whose differentials' conformal distortion is bounded. Toward this end, we developed a convex framework for solving optimization problems over matrices that involve functionals and constraints expressed in terms of their extremal singular values. In addition, I will describe methods for computing physically-motivated elastic maps between shapes. We have applied these methods in a number of challenging problems, including feature matching between images related by non-rigid deformation, non-rigid registration of shape models, and computing extremal quasi-conformal maps.