UTA Department of Mathematics

Mathematics and Statistics Colloquium

Date/Time/Room: Friday (4/7/2006) at 2:30pm in 304 Pickard Hall

Speaker: Dr. Hong Qin, Associate Professor
Department of Computer Science, State University of New York at Stony Brook

"Dynamic Points: When Geometry Meets Physics"

Abstract: With the rapid technical advancement of 3D scanning devices in recent years, large-scale point-sampled 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 point-sampled geometry and its physical interaction. At the geometric level, my talk will focus on the global conformal parameterization of the point-set 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 thin-shell finite element formulation, crack generation and propogation. Other applications in physics-based shape morphing, real-time free-form 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 point-based system throughout my talk. Time permitting, I will briefly talk about our current and on-going research work in visual computing, especially in point-based graphics.