一种新的Armlet多小波的构造算法  

A New Constructuion Method of Armlet Wavelet

作　　者：陈韫智 王刚[1] 卢维娜[1] CHEN Yun-zhi;WANG Gang;LU Wei-na(School of Mathematical Sciences,Xinjiang Normal University,Urumqi,Xinjiang,830017,China)

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830017

出　　处：《新疆师范大学学报（自然科学版）》2020年第2期46-49,57,共5页Journal of Xinjiang Normal University(Natural Sciences Edition)

摘　　要：具有Armlet性质的多小波以及具有平衡性质的多小波在图像处理等领域中有很好的应用前景。为了避免离散多小波变换的预滤波,连建傲提出了Armlet的概念。此外,Leburn提出了平衡的概念,也可以避免预滤波。文章给出一个关于多尺度函数是平衡的与其对应的多小波是Armlet多小波的构造算法和算例。Multiwavelets with Armlet properties and multiwavelets with balanced properties have good application prospects in image processing and other fields.In order to avoid prefiltering of discrete multiwavelet transform,lian jianao proposed the concept of Armlet.In addition,Leburn puts forward the concept of balance,which can also avoid prefiltering.In this paper,we present a construction algorithm that multiscale functions are balanced and their corresponding multiwavelets are Armlet multiwavelets.

关 键 词：平衡多尺度函数 Armlet多小波 两尺度符号 

分 类 号：O241[理学—计算数学]