非理性膨胀正交小波基及其计算方法

2018 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR) Pub Date : 2018-07-01 DOI:10.1109/ICWAPR.2018.8521257

H. Toda, Zhong Zhang

{"title":"非理性膨胀正交小波基及其计算方法","authors":"H. Toda, Zhong Zhang","doi":"10.1109/ICWAPR.2018.8521257","DOIUrl":null,"url":null,"abstract":"We have already proposed an orthonormal wavelet basis having an arbitrary real dilation. However, when its dilation is an irrational number, it is very difficult to calculate its transform and inverse transform because of its infinite number of wavelet shapes and its irrational distances between wavelets. In this paper, based on the decomposition and reconstruction algorithms, we propose a calculation method of its transform and inverse transform.","PeriodicalId":385478,"journal":{"name":"2018 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Irrational-Dilation Orthonormal Wavelet Basis and its Calculation Method\",\"authors\":\"H. Toda, Zhong Zhang\",\"doi\":\"10.1109/ICWAPR.2018.8521257\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We have already proposed an orthonormal wavelet basis having an arbitrary real dilation. However, when its dilation is an irrational number, it is very difficult to calculate its transform and inverse transform because of its infinite number of wavelet shapes and its irrational distances between wavelets. In this paper, based on the decomposition and reconstruction algorithms, we propose a calculation method of its transform and inverse transform.\",\"PeriodicalId\":385478,\"journal\":{\"name\":\"2018 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICWAPR.2018.8521257\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICWAPR.2018.8521257","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 2

摘要

我们已经提出了具有任意实膨胀的标准正交小波基。然而，当它的膨胀是无理数时，由于它的小波形状是无限的，并且小波之间的距离是无理数，因此很难计算它的变换和逆变换。本文在分解和重构算法的基础上，提出了其变换和逆变换的计算方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Irrational-Dilation Orthonormal Wavelet Basis and its Calculation Method

We have already proposed an orthonormal wavelet basis having an arbitrary real dilation. However, when its dilation is an irrational number, it is very difficult to calculate its transform and inverse transform because of its infinite number of wavelet shapes and its irrational distances between wavelets. In this paper, based on the decomposition and reconstruction algorithms, we propose a calculation method of its transform and inverse transform.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2018 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)

自引率

0.00%

发文量