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Handling Extraordinary Nodes with Weighted T-spline Basis Functions

Liu, Lei, Yongjie Jessica Zhang, Xiaodong Wei

24th International Meshing Roundtable, Elsevier Ltd., October 12-14 2015


24th International Meshing Roundtable
Austin, TX
October 12-14,2014

Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA

To generate analysis-suitable T-splines for arbitrary topologies, in this paper we introduce a new method to deal with extraordinary nodes in the T-mesh. Knot interval duplication method is used to extract knot vectors for the extraordinary nodes and spoke nodes. From defined bicubic weighted T-spline basis functions, the extracted Bezier coefficients are modified to obtain a gap-free T-spline surface. The boundaries shared by the first-ring neighboring Bezier elements are C0-continuous. Then we use biquartic Bezier basis functions with optimized coefficients to increase the surface continuity to G1. Comparison with other methods shows that our method generates T-spline surfaces with better surface continuity for analysis.

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