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
收藏
页码：108 / 124
页数：17
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