A. S. Talita, Dewi Anggraini Puspa Hapsari, S. Madenda
{"title":"减少视频表示所需存储空间的奇异值分解","authors":"A. S. Talita, Dewi Anggraini Puspa Hapsari, S. Madenda","doi":"10.17758/dirpub9.dir12211021","DOIUrl":null,"url":null,"abstract":": The needs of data compression as in video compression emerge due to limitation of storage and communication bandwidth. Video is a sequence of digital images, where the digital images can be represented as matrices. One of the matrix factorization that is possible to be implemented on any matrix is Singular Value Decomposition (SVD). On low rank SVD, we choose a smaller value of rank of the new approximation image to reduce its necessary storage capacity. When we save the images in the storage by saving the new representation from SVD results other than the original representation, theoretically with smaller rank of the matrix representation will results in smaller size of file. The experiment result on this research gives a compression ratio 2.6182 on a sample frame of the video data by choosing text file format to save the necessary data.","PeriodicalId":34366,"journal":{"name":"21 Inquiries into Art History and the Visual","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Singular Value Decomposition on Reducing Required Storage Space of Video Representation\",\"authors\":\"A. S. Talita, Dewi Anggraini Puspa Hapsari, S. Madenda\",\"doi\":\"10.17758/dirpub9.dir12211021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": The needs of data compression as in video compression emerge due to limitation of storage and communication bandwidth. Video is a sequence of digital images, where the digital images can be represented as matrices. One of the matrix factorization that is possible to be implemented on any matrix is Singular Value Decomposition (SVD). On low rank SVD, we choose a smaller value of rank of the new approximation image to reduce its necessary storage capacity. When we save the images in the storage by saving the new representation from SVD results other than the original representation, theoretically with smaller rank of the matrix representation will results in smaller size of file. The experiment result on this research gives a compression ratio 2.6182 on a sample frame of the video data by choosing text file format to save the necessary data.\",\"PeriodicalId\":34366,\"journal\":{\"name\":\"21 Inquiries into Art History and the Visual\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"21 Inquiries into Art History and the Visual\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17758/dirpub9.dir12211021\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"21 Inquiries into Art History and the Visual","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17758/dirpub9.dir12211021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Singular Value Decomposition on Reducing Required Storage Space of Video Representation
: The needs of data compression as in video compression emerge due to limitation of storage and communication bandwidth. Video is a sequence of digital images, where the digital images can be represented as matrices. One of the matrix factorization that is possible to be implemented on any matrix is Singular Value Decomposition (SVD). On low rank SVD, we choose a smaller value of rank of the new approximation image to reduce its necessary storage capacity. When we save the images in the storage by saving the new representation from SVD results other than the original representation, theoretically with smaller rank of the matrix representation will results in smaller size of file. The experiment result on this research gives a compression ratio 2.6182 on a sample frame of the video data by choosing text file format to save the necessary data.