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- W3100770193 abstract "The focus on locally refined spline spaces has grown rapidly in recent years due to the need in Isogeoemtric analysis (IgA) of spline spaces with local adaptivity: a property not offered by the strict regular structure of tensor product B-spline spaces. However, this flexibility sometimes results in collections of B-splines spanning the space that are not linearly independent. In this paper we address the minimal number of B-splines that can form a linear dependence relation for Minimal Support B-splines (MS B-splines) and for Locally Refinable B-splines (LR B-splines) on LR-meshes. We show that the minimal number is six for MS B-splines, and eight for LR B-splines. The risk of linear dependency is consequently significantly higher for MS B-splines than for LR B-splines. Further results are established to help detecting collections of B-splines that are linearly independent." @default.
- W3100770193 created "2020-11-23" @default.
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- W3100770193 date "2020-02-01" @default.
- W3100770193 modified "2023-09-23" @default.
- W3100770193 title "Linear dependence of bivariate Minimal Support and Locally Refined B-splines over LR-meshes" @default.
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- W3100770193 doi "https://doi.org/10.1016/j.cagd.2019.101803" @default.
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