Cubic spline quasi-interpolants on Powell-Sabin partitions

被引：10
|
作者：
Lamnii, A. [1 ]
Lamnii, M. [2 ]
Mraoui, H. [2 ]
机构：
[1] Univ Hassan First, Fac Sci & Technol, Settat, Morocco
[2] Univ Mohammed First, Fac Sci, Oujda, Morocco
来源：
BIT NUMERICAL MATHEMATICS | 2014年 / 54卷 / 04期
关键词：
Super spline; Powell-Sabin splines; Normalized B-splines; Blossoms; Polarization identity; Quasi-interpolation; B-SPLINES; NORMALIZED BASIS; SPACE; CONSTRUCTION;
D O I：
10.1007/s10543-014-0489-x
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
By using the polarization identity, we propose a family of quasi-interpolants based on bivariate cubic super splines defined on triangulations with a Powell-Sabin refinement. Their spline coefficients only depend on a set of local function values. The quasi-interpolants reproduce cubic polynomials and have an optimal approximation order.
引用
收藏
页码：1099 / 1118
页数：20
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