Yaron Lipman (Princeton University)
Wednesday, 15.12.2010, 11:30
In this talk we will present three applications of conformal geometry to the
problems of surface matching and comparison. In particular we will show how
certain ideas originated in the theory of conformal geometry can be used to
define novel metrics measuring dissimilarities and finding correspondences
betweens pairs of surfaces automatically.
The prominent rigidity of conformal mappings renders these metrics
computationally efficient, add suggests that conformal geometry can play a
role in reducing the complexity of certain surface matching paradigms. We
report results on few datasets of biological surfaces as well as other
common 3D surface datasets.