Colloquium
"Discrete Curvature for Physically-based Simulation and Shape Modeling"
Denis Zorin, Courant Institute of Mathematical Sciences New York University
Thursday, February 21, 2008 at 4:00 P.M.
Room 368 (CIT 3rd Floor)
Discrete curvature and shape operators, which capture complete information about directional curvatures at a point, are essential in a variety of applications: simulation of deformable surfaces (bending forces are determined by curvature), variational modeling and geometric data processing. In many of these applications, objects are represented by meshes. Solving mesh evolution or optimization problems involving discrete curvature may be expensive, as the dependence of discrete curvature on the vertex position is complex and highly nonlinear.
The quality of the results and computational efficiency is greatly influenced by the choice of curvature discretization. I will discuss mathematical tools for evaluating discretization quality and increasing discretization efficiency and their use in the context of physically-based simulation and geometric modeling.
Denis Zorin is an associate professor in the Computer Science Department of the Courant Institute of Mathematical Sciences at New York University. He received a PhD in Computer Science from the California Institute of Technology. Before joining the faculty at NYU he was a postdoctoral researcher at the Computer Science Department of Stanford University. He was a Sloan Foundation Fellow in 2000-2002; he received the NSF CAREER award in 2001, and IBM Faculty Partnership Award in 2001-2004 and 2006. His primary research interests are geometric modeling and scientific computing.
Host: David Laidlaw
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