{"title":"Digital affine shear filter banks with 2-layer structure","authors":"Zhihua Che, X. Zhuang","doi":"10.1109/SAMPTA.2017.8024369","DOIUrl":null,"url":null,"abstract":"Affine shear tight frames with 2-layer structure are introduced. Characterizations and constructions of smooth affine shear tight frames with 2-layer structure are provided. Digital affine shear banks with 2-layer structure are then constructed. The implementation of digital affine shear transforms using the transition and subdivision operators are given. Numerical experiments on image denoising demonstrate the advantage of our digital affine shear filter banks with 2-layer structure.","PeriodicalId":13217,"journal":{"name":"IEEE Transactions on Image Processing","volume":"1 1","pages":"575-579"},"PeriodicalIF":10.8000,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1109/SAMPTA.2017.8024369","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Image Processing","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1109/SAMPTA.2017.8024369","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
引用次数: 6
Abstract
Affine shear tight frames with 2-layer structure are introduced. Characterizations and constructions of smooth affine shear tight frames with 2-layer structure are provided. Digital affine shear banks with 2-layer structure are then constructed. The implementation of digital affine shear transforms using the transition and subdivision operators are given. Numerical experiments on image denoising demonstrate the advantage of our digital affine shear filter banks with 2-layer structure.
期刊介绍:
The IEEE Transactions on Image Processing delves into groundbreaking theories, algorithms, and structures concerning the generation, acquisition, manipulation, transmission, scrutiny, and presentation of images, video, and multidimensional signals across diverse applications. Topics span mathematical, statistical, and perceptual aspects, encompassing modeling, representation, formation, coding, filtering, enhancement, restoration, rendering, halftoning, search, and analysis of images, video, and multidimensional signals. Pertinent applications range from image and video communications to electronic imaging, biomedical imaging, image and video systems, and remote sensing.