[Colloquium] Talk by Miao (Lily) Jin, Stony Brook University on March 12, 2008

[caseyk]

DEPARTMENT OF COMPUTER SCIENCE

UNIVERSITY OF CHICAGO

Date: Wednesday, March 12, 2008
Time: 2:30 p.m.
Place: Ryerson 251, 1100 E. 58th Street

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Speaker:	Miao (Lily) Jin

From:		Stony Brook University

Web page:	http://www.cs.sunysb.edu/~mjin/

Title: General Surface Geometric Structures and Their Applications

Abstract: Geometric structures are natural structures of surfaces,  
which enable different geometries to be defined on the surfaces  
coherently and allow planar algorithmic constructions to be  
generalized onto the surfaces directly. For example, Texture mapping  
and synthesis are based on conformal structure; conformal brain  
mapping is based on spherical structure; shape space is based on  
hyperbolic structure.
Surface Ricci flow is a powerful and flexible geometric analytic tool,  
and plays crucial role for low dimensional topology. It is a process  
that deforms the Riemannian metric of the surface, with the  
deformation proportional to the Gaussian curvatures, and the  
curvatures behave like heat diffusion. We generalized surface Ricci  
flow to discrete setting, and proposed algorithms using discrete  
surface Ricci flow to compute general surface geometric structures,  
and applied them to applications in computer graphics, geometric  
modeling, medical imaging, and computer vision.

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Host: Ridgway Scott