HSS-Iteration-Based Iterative Interpolation of Curves and Surfaces with NTP Bases

Liangchen Hu; Huahao Shou; Zhenlei Dai

Simulation Tools and Techniques. 11th International Conference, SIMUtools 2019, Chengdu, China, July 8–10, 2019, Proceedings

Research Article

HSS-Iteration-Based Iterative Interpolation of Curves and Surfaces with NTP Bases

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@INPROCEEDINGS{10.1007/978-3-030-32216-8_36,
    author={Liangchen Hu and Huahao Shou and Zhenlei Dai},
    title={HSS-Iteration-Based Iterative Interpolation of Curves and Surfaces with NTP Bases},
    proceedings={Simulation Tools and Techniques. 11th International Conference, SIMUtools 2019, Chengdu, China, July 8--10, 2019, Proceedings},
    proceedings_a={SIMUTOOLS},
    year={2019},
    month={10},
    keywords={HSS iteration NTP bases PIA Interpolation Convergence},
    doi={10.1007/978-3-030-32216-8_36}
}

Liangchen Hu
Huahao Shou
Zhenlei Dai
Year: 2019
HSS-Iteration-Based Iterative Interpolation of Curves and Surfaces with NTP Bases
SIMUTOOLS
Springer
DOI: 10.1007/978-3-030-32216-8_36

Liangchen Hu¹, Huahao Shou¹^,*, Zhenlei Dai¹

1: Zhejiang University of Technology

*Contact email: shh@zjut.edu.cn

Abstract

Based on the Hermitian and skew-Hermitian splitting (HSS) iteration technique [14], a new iterative interpolation technique called HPIA for curves and surfaces with NTP bases and its weighted version WHPIA are proposed. We take the previous iteration and the current iteration into account simultaneously, and establish a function based on NTP bases as a perturbation term in the iteration process. Convergence analyses and the approximate optimal weight of WHPIA are given. Theoretical and experimental results show that HPIA and WHPIA are effective.

Keywords: HSS iteration NTP bases PIA Interpolation Convergence

Published: 2019-10-24
Appears in: SpringerLink

: http://dx.doi.org/10.1007/978-3-030-32216-8_36