Functional Maps: A Flexible Representation of Maps Between Shapes

English

Séminaire Géométrie-Images: MGMI

18/04/2012 - 14:00 Mr Max Ovsjanikov Salle 1 - Tour IRMA

In this talk, I will discuss a representation of maps between pairs
of shapes that generalizes the standard notion of a map to include
correspondences that are not necessarily point-to-point.
This representation is compact, and yet allows for efficient inference
(shape matching) and enables a number of applications, including
algebraic map manipulation such as computing map sums and differences.

The key aspect of this representation is that many constraints on a
map, including landmark correspondences, part preservation and operator
commutativity  become linear. This means, in particular, that shape
matching can be phrased as a simple linear system of equations.

I will describe the main properties of this representation and give a few
examples of applications that include improving existing correspondences
and segmentation transfer without establishing point-to-point matches.