Technion 
 
CGGC seminar (talk #198)
 
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Date: Sunday 27/01/2013
 
Time: 13:00
 
Room: Taub 337
 
Speaker: Maks Ovsjanikov (École Polytechnique, France)
 
Title: Functional Maps: A Flexible Representation of Maps Between
Shapes
 
Abstract:
 
This talk discuss a representation of maps between pairs of 3D shapes
(represented as triangle meshes) 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
correspondence, segmentation transfer without establishing
point-to-point matches and efficient map compression and
visualization.
 
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Visit the CGGC's web page at  <http://www.cs.technion.ac.il/~cggc/>
 
Seminar program:
 <http://www.cs.technion.ac.il/~cggc/Seminar/Seminar.html>
 
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Technion Math. Net (TECHMATH)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from:  <sigal@cs.technion.ac.il>   <sigal@CS.TECHNION.AC.IL>