In this paper we define Dual-Compatible (DC) T-splines, and we prove that Analysis-Suitable (AS) T-splines are Dual-Compatible. We show that the classical construction of a dual basis for tensor-product T-splines easily generalizes to DC T-spline spaces, and we discuss in the last section of the paper how it paves the way to a mathematical theory of AS T-splines.
Analysis-Suitable T-splines are Dual-Compatible / L. Beirão da Veiga, A. Buffa, D. Cho, G. Sangalli. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 249(2012), pp. 42-51. [10.1016/j.cma.2012.02.025]
Analysis-Suitable T-splines are Dual-Compatible
L. Beirão da VeigaPrimo
;D. ChoPenultimo
;
2012
Abstract
In this paper we define Dual-Compatible (DC) T-splines, and we prove that Analysis-Suitable (AS) T-splines are Dual-Compatible. We show that the classical construction of a dual basis for tensor-product T-splines easily generalizes to DC T-spline spaces, and we discuss in the last section of the paper how it paves the way to a mathematical theory of AS T-splines.
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