Bases of Biquadratic Polynomial Spline Spaces Over Hierarchical T-Meshes
Bases of Biquadratic Polynomial Spline Spaces Over Hierarchical T-Meshes
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DOI：
10.4208/jcm.1601-m2014-0175
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发表时间：
2017
影响因子：
0.9
通讯作者：
Fang Deng;Chaoyi Zeng;Meng Wu;J. Deng
中科院分区：
文献类型：
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作者：
Fang Deng;Chaoyi Zeng;Meng Wu;J. Deng
构造了层次T-网格上四次多项式样条空间的基函数。基函数都是张量积B样条，它们是线性无关的、非负的、完备的。为了使基函数更有效地用于几何建模，我们还提出了一种新的基函数，它具有单位划分的性质。两个初步的应用表明，新的基础是有效的。数学学科分类：65 D 07
Basis functions of biquadratic polynomial spline spaces over hierarchical T-meshes are constructed. The basis functions are all tensor-product B-splines, which are linearly independent, nonnegative and complete. To make basis functions more efficient for geometric modeling, we also give out a new basis with the property of unit partition. Two preliminary applications are given to demonstrate that the new basis is efficient. Mathematics subject classification: 65D07