Volume 35, Issue 1
Bases of Biquadratic Polynomial Spline Spaces over Hierarchical T-Meshes

Fang Deng, Chao Zeng, Meng WuJiansong Deng

J. Comp. Math., 35 (2017), pp. 91-120.

Published online: 2017-02

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  • Abstract

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.

  • Keywords

Spline spaces over T-meshes, CVR graph, Basis functions.

  • AMS Subject Headings

65D07.

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

dengfang@mail.ustc.edu.cn (Fang Deng)

zengchao@mail.ustc.edu.cn (Chao Zeng)

wumeng@mail.ustc.edu.cn (Meng Wu)

dengjs@ustc.edu.cn (Jiansong Deng)

  • BibTex
  • RIS
  • TXT
@Article{JCM-35-91, author = {Deng , Fang and Zeng , Chao and Wu , Meng and Deng , Jiansong}, title = {Bases of Biquadratic Polynomial Spline Spaces over Hierarchical T-Meshes}, journal = {Journal of Computational Mathematics}, year = {2017}, volume = {35}, number = {1}, pages = {91--120}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1601-m2014-0175}, url = {http://global-sci.org/intro/article_detail/jcm/9765.html} }
TY - JOUR T1 - Bases of Biquadratic Polynomial Spline Spaces over Hierarchical T-Meshes AU - Deng , Fang AU - Zeng , Chao AU - Wu , Meng AU - Deng , Jiansong JO - Journal of Computational Mathematics VL - 1 SP - 91 EP - 120 PY - 2017 DA - 2017/02 SN - 35 DO - http://doi.org/10.4208/jcm.1601-m2014-0175 UR - https://global-sci.org/intro/article_detail/jcm/9765.html KW - Spline spaces over T-meshes, CVR graph, Basis functions. AB -

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.

Fang Deng, Chao Zeng, Meng Wu & Jiansong Deng. (2020). Bases of Biquadratic Polynomial Spline Spaces over Hierarchical T-Meshes. Journal of Computational Mathematics. 35 (1). 91-120. doi:10.4208/jcm.1601-m2014-0175
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