TY - JOUR
T1 - On the approximation power of generalized T-splines
AU - Bracco, Cesare
AU - Cho, Durkbin
AU - Dagnino, Catterina
AU - Kim, Tae wan
N1 - Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2017/2/1
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 - http://www.scopus.com/inward/record.url?scp=84990036825&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2016.07.011
DO - 10.1016/j.cam.2016.07.011
M3 - Article
AN - SCOPUS:84990036825
SN - 0377-0427
VL - 311
SP - 423
EP - 438
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
ER -