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On the approximation power of generalized T-splines
- Bracco, Cesare;
- Cho, Durkbin;
- Dagnino, Catterina;
- Kim, Tae-wan
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2초록
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. (C) 2016 Elsevier B.V. All rights reserved.
키워드
T-spline; Generalized B-spline; Partition of unity; Spline approximation; Isogeometric analysis; LINEAR INDEPENDENCE
- 제목
- On the approximation power of generalized T-splines
- 저자
- Bracco, Cesare; Cho, Durkbin; Dagnino, Catterina; Kim, Tae-wan
- 발행일
- 2017-02
- 유형
- Article
- 권
- 311
- 페이지
- 423 ~ 438