Functional Maps: A Flexible Representation of Maps (with Applications)
published: March 5, 2013, recorded: February 2013, views: 5615
Report a problem or upload filesIf you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
In this talk, I will discuss a representation of maps between pairs of 3D shapes (represented as triangle meshes) that generalizes of 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 correspondence, segmentation transfer without establishing point-to-point matches and efficient map compression and visualization.
Link this pageWould you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !