Title: Computational Conformal Geometry


			       Xianfeng David Gu
			             CISE
			        Univ. of Florida
			     Email: gu@cise.ufl.edu


Abstract:
All orientable surfaces are Riemann surfaces, namely they admit conformal 
structures. Conformal structure is between topological structure and 
Riemannian metric structure. Many fundamental problems in medical imaging and 
computer vision can be solved from the point of view of conformal geometry. 
The theories and algorithms for computing conformal structures will be 
introduced. The applications for surface matching, geometric classification, 
pattern recognition, geometric compression and brain mapping will be addressed.