Progressive Iterative Approximation for Extended B-Spline Interpolation Surfaces

被引：0
|
作者：
Yi, Yeqing [1 ]
Tang, Zixuan [2 ]
Liu, Chengzhi [2 ]
机构：
[1] Hunan Univ Humanities Sci & Technol, Sch Informat, Loudi 417000, Peoples R China
[2] Hunan Univ Humanities Sci & Technol, Sch Math & Finance, Loudi 417000, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2021年 / 2021卷
关键词：
TRIGONOMETRIC BEZIER CURVE;
D O I：
10.1155/2021/5556771
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
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页数：10
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