On the approximation power of generalized T-splines

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• 作者：Cesare Bracco^a ; Durkbin Cho^b ; Catterina Dagnino^c ; Tae-wan Kim^d ; ^{taewan@snu.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; ^{taewan.kim.snu@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：T-spline ; Generalized B-spline ; Partition of unity ; Spline approximation ; Isogeometric analysis
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：311
• 期：Complete
• 页码：423-438
• 全文大小：603 K

文摘

The paper presents some properties of Generalized T-splines (GT-splines), which are crucial to their actual application. In particular, we construct a dual basis for a noteworthy class of GT-splines, which allows to show that, under suitable conditions, they form a partition of unity. Moreover, we study the approximation properties of the GT-spline space by constructing a class of quasi-interpolants which belong to it and are defined by giving a dual basis.