Bases of Biquadratic Polynomial Spline Spaces over Hierarchical T-meshes

نویسندگان

  • Fang Deng
  • Chao Zeng
  • Jiansong Deng
  • J. S. DENG
چکیده

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

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تاریخ انتشار 2017