21st International Meshing Roundtable
San Jose, CA
Siemens Corporation, Corporate Research and Technology
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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