A normalized basis for C1 cubic super spline space on Powell-Sabin triangulation

被引：20

作者：

Lamnii, M. ^{[1
]}

Mraoui, H. ^{[1
]}

Tijini, A. ^{[1
]}

Zidna, A. ^{[2
]}

机构：

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

[2] Univ Lorraine, LITA, Metz, France

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2014年 / 99卷

关键词：

Super spline; Powell-Sabin splines; Normalized B-splines; Blossoms; Quasi-interpolation; INTERPOLATION;

D O I：

10.1016/j.matcom.2013.04.020

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we describe the construction of a suitable normalized B-spline representation for bivariate C-1 cubic super splines defined on triangulations with a Powell-Sabin refinement. The basis functions have local supports, they form a convex partition of unity, and every spline is locally controllable by means of control triangles. As application, discrete and differential quasi-interpolants of optimal approximation order are developed and numerical tests for illustrating theoretical results are presented. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：108 / 124

页数：17