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.