{"title":"基于频域自由形状复小波的紧密小波框架","authors":"H. Toda, Zhong Zhang","doi":"10.1109/ICWAPR48189.2019.8946466","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a construction method of a tight wavelet frame using a complex wavelet designed in a free shape on the frequency domain. This method is divided into two parts. First, based on the designed complex wavelet, we construct an approximate tight wavelet frame. Next, based on it, we construct a tight wavelet frame with minor modification. Additionally, for example, we show the construction process of the tight wavelet frame using the approximate Gabor wavelet.","PeriodicalId":436840,"journal":{"name":"2019 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)","volume":"121 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Tight Wavelet Frame Using Complex wavelet Designed in Free Shape on Frequency Domain\",\"authors\":\"H. Toda, Zhong Zhang\",\"doi\":\"10.1109/ICWAPR48189.2019.8946466\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose a construction method of a tight wavelet frame using a complex wavelet designed in a free shape on the frequency domain. This method is divided into two parts. First, based on the designed complex wavelet, we construct an approximate tight wavelet frame. Next, based on it, we construct a tight wavelet frame with minor modification. Additionally, for example, we show the construction process of the tight wavelet frame using the approximate Gabor wavelet.\",\"PeriodicalId\":436840,\"journal\":{\"name\":\"2019 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)\",\"volume\":\"121 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICWAPR48189.2019.8946466\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICWAPR48189.2019.8946466","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Tight Wavelet Frame Using Complex wavelet Designed in Free Shape on Frequency Domain
In this paper, we propose a construction method of a tight wavelet frame using a complex wavelet designed in a free shape on the frequency domain. This method is divided into two parts. First, based on the designed complex wavelet, we construct an approximate tight wavelet frame. Next, based on it, we construct a tight wavelet frame with minor modification. Additionally, for example, we show the construction process of the tight wavelet frame using the approximate Gabor wavelet.
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