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Mathematics and Statistics Colloquium
Date/Time/Room:
Friday (4/7/2006) at 2:30pm in 304 Pickard Hall "Dynamic Points: When Geometry Meets Physics"Abstract: With the rapid technical advancement of 3D scanning devices in recent years, largescale pointsampled geometry is becoming ubiquitous in graphics, visualization, and geometric information processing. In this talk, I will present a novel and unified modeling, simulation, and processing paradigm for pointsampled geometry and its physical interaction. At the geometric level, my talk will focus on the global conformal parameterization of the pointset surfaces. Upon global parameterization, at the physics level, I will demonstrate how physics can be integrated with point geometry for interactive simulation and animation in graphics. Key applications include shape deformation based on the thinshell finite element formulation, crack generation and propogation. Other applications in physicsbased shape morphing, realtime freeform deformation, dynamic surface editing, haptic sculpting and painting, interactive sketching, and surface completion will also be presented. Besides mathematical formulations for both point geometry and physical laws, many experimental video clips will be shown to demonstrate the efficacy of our prototype pointbased system throughout my talk. Time permitting, I will briefly talk about our current and ongoing research work in visual computing, especially in pointbased graphics.

