On a four-directional uniform mesh of the plane, we define and study C0 Gori–Pitolli (abbreviated as GP) quadratics and C1 GP quartics generated by integer translates of GP box-splines generalizing respectively the classical C1 quadratic box-spline and one of the C2 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-box-splines on a four directional mesh / C. CONTI; L. GORI; F. PITOLLI; 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-box-splines on a four directional mesh
CONTI, COSTANZA;
2008
Abstract
On a four-directional uniform mesh of the plane, we define and study C0 Gori–Pitolli (abbreviated as GP) quadratics and C1 GP quartics generated by integer translates of GP box-splines generalizing respectively the classical C1 quadratic box-spline and one of the C2 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.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.