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.