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On the approximation power of generalized T-splines
- Issue Date
- Feb-2017
- Publisher
- ELSEVIER
- Keywords
- T-spline; Generalized B-spline; Partition of unity; Spline approximation; Isogeometric analysis
- Citation
- JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.311, pp 423 - 438
- Pages
- 16
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- Volume
- 311
- Start Page
- 423
- End Page
- 438
- ISSN
- 0377-0427
1879-1778
- Abstract
- 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.
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Related Researcher
- Cho, Durk Bin
- College of Natural Science (Department of Mathematics)