Sunday, June 7: 13:30--14:30
Invited Talk 1
Shape Space from Deformation
Herbert Edelsbrunner
Univ. of Illinois at Urbana-Champaign and Raindrop Geomagic

The construction of shape spaces is studied from a mathematical and a computational viewpoint. A program is outlined reducing the problem to four tasks:

  • the representation of geometry,
  • the canonical deformation of geometry,
  • the measuring of distance in shape space, and
  • the selection of base shapes.
    The technical part of this paper focuses on the second task: the specification of a deformation mixing two or more shapes in continuously changing proportions.