Volume and Feature Preservation in Surface Mesh Optimization
Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.359-374, September 17-20 2006
15th International Meshing Roundtable
Birmingham, Alabama, U.S.A.
September 17-20, 2006
College of Computing, Georgia Institute of Technology, Atlanta, GA 30332
Mesh optimization is critical in numerical simulations involving complex
or evolving geometry. Because of the geometric constraints, such as preservation of sharp features and conservation of volume, optimizing a surface mesh poses significant challenges, especially when a CAD model is unavailable. In this paper, we introduce a formulation of volume conservation in a local sense for surface meshes under smoothing or other types of mesh motion, and propose a simple and efficient technique to solve it. We also present a simple and robust feature detection technique to enhance the effectiveness of local volume conservation and mesh optimization. We present the theoretical foundation of our techniques and experimental study to demonstrate their effectiveness.
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