Interpolating m-refinable functions with compact support: The second generation class

被引：8

作者：

Romani, Lucia ^{[1
]}

机构：

[1] Alma Mater Studiorum Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 361卷

关键词：

Subdivision; Interpolation; Even-symmetric mask; Arity m; Refinable function; SUBDIVISION SCHEMES; CONVERGENCE; REGULARITY;

D O I：

10.1016/j.amc.2019.06.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an algorithm for the construction of a new class of compactly supported interpolating refinable functions that we call the second generation class since, contrary to the existing class, is associated to subdivision schemes with an even-symmetric mask that does not contain the submask {0 ..., 0, 1, 0 ,... 0}. As application examples of the proposed algorithm we present interpolating 4-refinable functions that are generated by parameter-dependent, even-symmetric quaternary schemes never considered in the literature so far. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：735 / 746

页数：12