Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix

被引：38
|
作者：
Charina, Maria [1 ]
Conti, Costanza [2 ]
Romani, Lucia [3 ]
机构：
[1] TU Dortmund, Fak Math, D-44221 Dortmund, Germany
[2] Univ Florence, Dipartimento Ingn Ind, I-50134 Florence, Italy
[3] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy
来源：
NUMERISCHE MATHEMATIK | 2014年 / 127卷 / 02期
关键词：
LINEAR INDEPENDENCE; BOX SPLINES; INTERPOLATION;
D O I：
10.1007/s00211-013-0587-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study scalar multivariate non-stationary subdivision schemes with a general integer dilation matrix. We characterize the capability of such schemes to reproduce exponential polynomials in terms of simple algebraic conditions on their symbols. These algebraic conditions provide a useful theoretical tool for checking the reproduction properties of existing schemes and for constructing new schemes with desired reproduction capabilities and other enhanced properties. We illustrate our results with several examples.
引用
收藏
页码：223 / 254
页数：32
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