On a nonlinear 4-point ternary and non-interpolatory subdivision scheme eliminating the Gibbs phenomenon

被引：4

作者：

Amat, S. ^{[1
]}

Choutri, A. ^{[2
]}

Ruiz, J. ^{[3
]}

Zouaoui, S. ^{[4
]}

机构：

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

[2] ENS Kouba, Dept Math, Algiers, Algeria

[3] Univ Alcala UAH, Dept Phys & Math, Alcala De Henares, Spain

[4] Ecole Preparatoire Sci & Tech Alger, Lab EDPNLHM ENS Kouba, Algiers, Algeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 320卷

关键词：

Nonlinear ternary non-interpolatory subdivision scheme; Regularity; Nonlinear subdivision; Stability; Gibbs phenomenon; Signal processing; MEDIAN-INTERPOLATION; MULTIRESOLUTION; CURVES;

D O I：

10.1016/j.amc.2017.08.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear ternary 4-point non-interpolatory subdivision scheme is presented. It is based on a nonlinear perturbation of the 4-point subdivision scheme studied in [16]. The convergence of the scheme and the regularity of the limit function are analyzed. It is shown that the Gibbs phenomenon, that is classical in linear schemes, is eliminated. We also establish the stability of the subdivision scheme, that is not a consequence of its convergence due to its non-linearity. To the best of our knowledge, this is the first ternary non-interpolatory subdivision scheme that can be found in the literature. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：16 / 26

页数：11

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