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. © 2012 Elsevier B.V.
BEIRAO DA VEIGA, L., Buffa, A., Cho, D., Sangalli, G. (2012). Analysis-Suitable T-splines are Dual-Compatible. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 249, 42-51 [10.1016/j.cma.2012.02.025].
Analysis-Suitable T-splines are Dual-Compatible
BEIRAO DA VEIGA, LOURENCOPrimo
;
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. © 2012 Elsevier B.V.
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