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- W2235021990 abstract "Analysis-suitable T -splines (AS T -splines) are a mildly topological restricted subset of T -splines which are linear independent regardless of knot values [1–3]. The present paper provides some more iso-geometric analysis (IGA) oriented properties for AS T splines and generalizes them to arbitrary topology AS T -splines. First, we prove that the blending functions for analysis-suitable T -splines are locally linear independent, which is the key property for localized multi-resolution and linear independence for non-tensorproduct domain. And then, we prove that the number of T -spline control points contribute each Bezier element is optimal, which is very important to obtain a bound for the number of non zero entries in the mass and stiffness matrices for IGA with T -splines. Moreover, it is found that the elegant labeling tool for B-splines, blossom, can also be applied for analysis-suitable T -splines. Mathematics subject classification: 65D07." @default.
- W2235021990 created "2016-06-24" @default.
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- W2235021990 date "2015-06-01" @default.
- W2235021990 modified "2023-10-02" @default.
- W2235021990 title "Some Properties for Analysis-Suitable T-Splines" @default.
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- W2235021990 doi "https://doi.org/10.4208/jcm.1504-m4493" @default.
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