Extended Truncated Hierarchical Catmull-Clark Subdivision
University of Texas at Austin Austin
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In this paper we present an extended Truncated Hierarchical Catmull-Clark Subdivision eTHCCS method, which improves the eciency of local refinement in Truncated Hierarchical Catmull-Clark Subdivision THCCS. We first generalize Stams Catmull-Clark basis functions for elements with more than one extraordinary node. In this manner we build a set of basis functions over arbitrary quadrilateral meshes and enable isogeometric analysis on such meshes without any preprocessing. Then, a new basis-function-insertion scheme is developed with the aid of the truncation mechanism, which refines one-ring neighboring elements rather than two-ring neighborhoods. Therefore, eTHCCS significantly improves the eciency of local refinement compared with THCCS, as demonstrated by one benchmark problem and several complex models. Moreover, eTHCCS is also proved to preserve the input geometry and produce nested spaces.