Approximation by GP box-splines on a four-direction mesh

[摘要] 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. (C) 2007 Elsevier B.V. All rights reserved.

[发布日期] 2008-11-15

[效力级别]  Proceedings Paper

[关键词] Box-splines;Refinable functions;Approximation operators