High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes

被引：14

作者：

Amat, S. ^{[1
]}

Dadourian, K. ^{[2
]}

Liandrat, J. ^{[3
]}

Trillo, J. C. ^{[1
]}

机构：

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena, Spain

[2] Aix Marseille Univ, Marseille, France

[3] Cent Marseille LATP, Marseille, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2013年 / 253卷

关键词：

Interpolation; Reconstruction; Nonlinearity; Power-means; Subdivision schemes; Multiresolution; SUBDIVISION SCHEMES; LIFTING SCHEME; ENO SCHEMES; WAVELETS; CONSTRUCTION; COMPRESSION; SMOOTHNESS; RESOLUTION; STABILITY; FRAMEWORK;

D O I：

10.1016/j.cam.2013.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the construction and analysis of a new family of nonlinear reconstruction operators and associated interpolating subdivision schemes. They are based on centered piecewise nonlinear polynomial interpolations adapted to discontinuities. We analyze both subdivision schemes and multiresolution schemes associated to these reconstructions. Some practical properties of these schemes are demonstrated in various numerical examples. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：163 / 180

页数：18

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