On a four-directional uniform mesh of the plane, we define and study C-0 Gori-Pitolli (abbreviated as GP) quadratics and C-1 GP quartics generated by integer translates of GP box-splines generalizing respectively the classical C-1 quadratic box-spline and one of the C-2 quartic box-splines. More specifically, we study the approximation of a bivariate function f by some quasi-interpolants and interpolants with values in these generalized spline spaces.
Approximation by GP splines on a four direction mesh / C., Conti; Gori, Laura; Pitolli, Francesca; P., Sablonniere. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - STAMPA. - 221:(2008), pp. 310-329. [10.1016/j.cam.2007.10.036]
Approximation by GP splines on a four direction mesh.
GORI, Laura;PITOLLI, Francesca;
2008
Abstract
On a four-directional uniform mesh of the plane, we define and study C-0 Gori-Pitolli (abbreviated as GP) quadratics and C-1 GP quartics generated by integer translates of GP box-splines generalizing respectively the classical C-1 quadratic box-spline and one of the C-2 quartic box-splines. More specifically, we study the approximation of a bivariate function f by some quasi-interpolants and interpolants with values in these generalized spline spaces.| File | Dimensione | Formato | |
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