CSAR Noon Seminar
Xiangmin Jiao, UIUC/CSAR
DATE: Wednesday, March 2, 2005
TIME: 12:00 Noon
PLACE: 2240 DCL
1304 W. Springfield Ave., Urbana, IL
TITLE: Face-Offsetting Framework for Dynamic Surface Meshes
ABSTRACT
Dynamic surface meshes are ubiquitous nowadays in scientific,
engineering, and graphics applications. In this talk, we introduce a
new class of methods, called face-offsetting, based on an
entropy-satisfying Lagrangian formulation for moving interfaces. Unlike
level set methods, face-offsetting operates directly on Lagrangian
surface meshes, without requiring Eulerian volume meshes. Unlike
traditional Lagrangian methods, face-offsetting propagates faces and
then reconstructs vertices by solving a constrained minimization
problem at each vertex, instead of moving vertices along approximate
normal directions. We present the theoretical foundation, parallel
implementation, and some experimental results for face-offsetting
methods. In addition, we outline some recent progress and on-going
efforts on numerical treatments for constraints, dissipation, and
conservation, as well as combinatorial treatments for adaptivity and
topological changes within our face-offsetting framework.