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.
2008
221
310
329
C. CONTI; L. GORI; F. PITOLLI; P. SABLONNIERE
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/251168
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