Construction of spherical spline quasi-interpolants based on blossoming

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article

Ibanez, M. J.²  Sbibih, D.¹ 

[1] Univ Mohammed 1, Ecole Super Technol, Dept Math, Lab MATSI, Oujda, Morocco

[2] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, E-18071 Granada, Spain

关键词: Quadratic spherical splines;    Quasi-interpolation;    Powell-Sabin triangulation;    Bezier-Bernstein representation;   

DOI  :  10.1016/j.cam.2009.12.010

来源: Elsevier

【 摘 要 】

A general theory of quasi-interpolants based on quadratic spherical Powell-Sabin splines on spherical triangulations of a sphere-like surface S is developed by using polar forms. As application, various families of discrete and differential quasi-interpolants reproducing quadratic spherical Bezier-Bernstein polynomials or the whole space of the spherical Powell-Sabin quadratic splines of class C-1 are presented. (C) 2009 Elsevier BM. All rights reserved.

【 授权许可】

Free