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Feature-preserving adaptive mesh generation for molecular shape modeling and simulation
Authors:Yu Zeyun  Holst Michael J  Cheng Yuhui  McCammon J Andrew
Affiliation:

aDepartment of Mathematics, University of California, San Diego, La Jolla, CA 92093, United States

bDepartment of Chemistry & Biochemistry and Department of Pharmacology, University of California, San Diego, La Jolla, CA 92093, United States

Abstract:We describe a chain of algorithms for molecular surface and volumetric mesh generation. We take as inputs the centers and radii of all atoms of a molecule and the toolchain outputs both triangular and tetrahedral meshes that can be used for molecular shape modeling and simulation. Experiments on a number of molecules are demonstrated, showing that our methods possess several desirable properties: feature-preservation, local adaptivity, high quality, and smoothness (for surface meshes). We also demonstrate an example of molecular simulation using the finite element method and the meshes generated by our method. The approaches presented and their implementations are also applicable to other types of inputs such as 3D scalar volumes and triangular surface meshes with low quality, and hence can be used for generation/improvement of meshes in a broad range of applications.
Keywords:Mesh generation  Molecular simulation  Molecular shape modeling  Finite element method  Numerical analysis
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