Bases of Biquadratic Polynomial Spline Spaces over Hierarchical T-Meshes

Authors

  • Fang Deng School of Mathematical Sciences, University of Science and Technology of China, Hefei, China
  • Chao Zeng School of Mathematical Sciences, University of Science and Technology of China, Hefei, China
  • Meng Wu School of Mathematics, Hefei University of Technology, Hefei, China
  • Jiansong Deng School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, Anhui, China

DOI:

https://doi.org/10.4208/jcm.1601-m2014-0175

Keywords:

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

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.

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Published

2018-08-22

Issue

Vol. 35 No. 1 (2017)

Section

Articles