Quasi-interpolation for analysis-suitable T-splines

被引：4
作者：
Kang, Hongmei [1 ]
Yong, Zhiguo [1 ]
Li, Xin [2 ]
机构：
[1] Soochow Univ, Sch Math Sci, 1 Shizi Rd, Suzhou 215006, Jiangsu, Peoples R China
[2] Univ Sci & Technol China, Sch Math Sci, 96 Jinzhai Rd, Hefei 230026, Anhui, Peoples R China
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2022年 / 98卷
基金：
中国国家自然科学基金;
关键词：
Quasi-interpolation; Quasi-interpolants; Marsden?s identity; Analysis-suitable T-splines; SURFACE RECONSTRUCTION; ISOGEOMETRIC ANALYSIS; LINEAR INDEPENDENCE; POLYNOMIAL SPLINES; LOCAL REFINEMENT; NURBS;
D O I：
10.1016/j.cagd.2022.102147
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We propose a novel local approximation method for analysis-suitable T-spline (AS T-spline) spaces via quasi-interpolation. The quasi-interpolants are defined as linear combination of the approximated function's values at appropriately chosen points. Benefited from the inherent nice properties of AS T-splines, the proposed quasi-interpolants can reproduce polynomials up to the same degree of AS T-spline spaces and can provide optimal approximation order. Some numerical examples of specific quasi-interpolants for bi-cubic AS T-splines are investigated to show the stability and efficiency. (C) 2022 Elsevier B.V. All rights reserved.
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页数：12
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