{"title":"基于变换基本矩阵的三维DCT运算研究","authors":"Sun Wen-bang, C. Hexin, Cheng Hong, T. Haiyan","doi":"10.1109/CMSP.2011.11","DOIUrl":null,"url":null,"abstract":"The 3-D DCT is different to be described by mathematical expression, and the transform is accomplished by computing 1-D DCT to each dimension of 3-D signal successively, which cannot embody the overall space character of 3-D transformation well. To overcome such drawbacks, a SDCT method was proposed in the paper. First, several 3-D matrix operation methods were defined, and the transformation basic matrix was build. Then, the operation principle of 3-D SDCT was described in detail. Finally, the 3-D SDCT operational performance was described. The theoretical analysis shows that the SDCT makes 3-D DCT succinct to express, easy to comprehend and convenient to operate.","PeriodicalId":309902,"journal":{"name":"2011 International Conference on Multimedia and Signal Processing","volume":"45 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Research on 3-D DCT Operation Based on Transformation Basic Matrix\",\"authors\":\"Sun Wen-bang, C. Hexin, Cheng Hong, T. Haiyan\",\"doi\":\"10.1109/CMSP.2011.11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The 3-D DCT is different to be described by mathematical expression, and the transform is accomplished by computing 1-D DCT to each dimension of 3-D signal successively, which cannot embody the overall space character of 3-D transformation well. To overcome such drawbacks, a SDCT method was proposed in the paper. First, several 3-D matrix operation methods were defined, and the transformation basic matrix was build. Then, the operation principle of 3-D SDCT was described in detail. Finally, the 3-D SDCT operational performance was described. The theoretical analysis shows that the SDCT makes 3-D DCT succinct to express, easy to comprehend and convenient to operate.\",\"PeriodicalId\":309902,\"journal\":{\"name\":\"2011 International Conference on Multimedia and Signal Processing\",\"volume\":\"45 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-05-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Multimedia and Signal Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CMSP.2011.11\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Multimedia and Signal Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CMSP.2011.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Research on 3-D DCT Operation Based on Transformation Basic Matrix
The 3-D DCT is different to be described by mathematical expression, and the transform is accomplished by computing 1-D DCT to each dimension of 3-D signal successively, which cannot embody the overall space character of 3-D transformation well. To overcome such drawbacks, a SDCT method was proposed in the paper. First, several 3-D matrix operation methods were defined, and the transformation basic matrix was build. Then, the operation principle of 3-D SDCT was described in detail. Finally, the 3-D SDCT operational performance was described. The theoretical analysis shows that the SDCT makes 3-D DCT succinct to express, easy to comprehend and convenient to operate.
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