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Progressive Iterative Approximation for Extended B-Spline Interpolation Surfaces

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  • Yeqing Yi
  • Zixuan Tang
  • Chengzhi Liu

Abstract

In order to improve the computational efficiency of data interpolation, we study the progressive iterative approximation (PIA) for tensor product extended cubic uniform B-spline surfaces. By solving the optimal shape parameters, we can minimize the spectral radius of PIA’s iteration matrix, and hence the convergence rate of PIA is accelerated. Stated numerical examples show that the optimal shape parameters make the PIA have the fastest convergence rate.

Suggested Citation

  • Yeqing Yi & Zixuan Tang & Chengzhi Liu, 2021. "Progressive Iterative Approximation for Extended B-Spline Interpolation Surfaces," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-10, April.
  • Handle: RePEc:hin:jnlmpe:5556771
    DOI: 10.1155/2021/5556771
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