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.