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 GTsplines, 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.

On the approximation power of generalized T-splines

BRACCO, CESARE;DAGNINO, Catterina;
2017

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 GTsplines, 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.
311
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423
438
T-spline; generalized B-spline; partition of unity; spline approximation; isogeometric analysis
Bracco, Cesare; Cho, Durkbin; Dagnino, Catterina; Kim, Tae-wan
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1598128
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