Quasi-interpolation for analysis-suitable T-splines

被引：5

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.

引用

页数：12

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