On the approximation power of generalized T-splines

Cesare Bracco; Durkbin Cho; Catterina Dagnino; Tae wan Kim

doi:10.1016/j.cam.2016.07.011

On the approximation power of generalized T-splines

Cesare Bracco
, Durkbin Cho
, Catterina Dagnino
, Tae wan Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	423-438
Number of pages	16
Journal	Journal of Computational and Applied Mathematics
Volume	311
DOIs	https://doi.org/10.1016/j.cam.2016.07.011
State	Published - 1 Feb 2017

Keywords

Generalized B-spline
Isogeometric analysis
Partition of unity
Spline approximation
T-spline

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10.1016/j.cam.2016.07.011

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AU - Cho, Durkbin

AU - Dagnino, Catterina

AU - Kim, Tae wan

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Y1 - 2017/2/1

N2 - 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.

AB - 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.

KW - Generalized B-spline

KW - Isogeometric analysis

KW - Partition of unity

KW - Spline approximation

KW - T-spline

UR - https://www.scopus.com/pages/publications/84990036825

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VL - 311

SP - 423

EP - 438

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

On the approximation power of generalized T-splines

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Keywords

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