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Automated Structured All-Quadrilateral and Hexahedral Meshing of Tubular Surfaces

Xiong, Guanglei, Suraj Musuvathy, and Tong Fang

21st International Meshing Roundtable, Springer-Verlag, pp.103-120, October 7-10 2012

IMR
PROCEEDINGS

21st International Meshing Roundtable
San Jose, CA
October 7-10,2012

Siemens Corporation, Corporate Research and Technology
Email: guanglei.xiong@siemens.com

Summary
High-quality quadrilateral and hexahedral meshes of tubular structures are useful for many CAD and CAE applications in medical and industrial environments. In this paper, we propose an automated structured meshing strategy for tubular surfaces that possess multiple branches and n-furcations. From a given triangulated mesh, a centerline is extracted and individual branches are identified based on surface decomposition at the junctions. Each branch of the mesh is optimally parameterized to ensure global correspondences and even spacing of contour lines across branches. For each branch, a coarse quadrilateral mesh is created by tracing iso-parameter lines in longitudinal and circumferential directions. The quadrilateral mesh is then approximated with a Catmull-Clark subdivision surface. An initial hexahedral mesh is obtained by computing branch centroids and creating cells by joining adjacent branch centroids and corresponding surface vertices. High quality hexahedral meshes are obtained by refinement of the initial hexahedral mesh using Catmull-Clark solid subdivision. We show the efficiency and robustness of our approach using several real data sets.

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