Progressive Iterative Approximation for Extended B-Spline Interpolation Surfaces

Yeqing Yi, Zixuan Tang and Chengzhi Liu

Mathematical Problems in Engineering, 2021, vol. 2021, 1-10

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5556771

DOI: 10.1155/2021/5556771

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