{"title":"Fast 15x15 Transform for Image and Video Coding Applications","authors":"Y. Reznik, R. Chivukula","doi":"10.1109/DCC.2009.81","DOIUrl":null,"url":null,"abstract":"We derive factorization of DCT-II transform of size 15 which requires only 14 multiplications, 67 additions, and 3 multiplications by rational dyadic constants (implementable by shifts). This transform is significantly less complex than DCT-II of nearest dyadic size (16), and we suggest considering it for future image and video coding applications that can benefit from using larger (than 8x8) block sizes.","PeriodicalId":377880,"journal":{"name":"2009 Data Compression Conference","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 Data Compression Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DCC.2009.81","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
We derive factorization of DCT-II transform of size 15 which requires only 14 multiplications, 67 additions, and 3 multiplications by rational dyadic constants (implementable by shifts). This transform is significantly less complex than DCT-II of nearest dyadic size (16), and we suggest considering it for future image and video coding applications that can benefit from using larger (than 8x8) block sizes.
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