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多线性子空间可伸缩视频编码方法 Introduction Multilinearsubspacescaling(MSS)isatechniqueforvideocompressionthatisspecificallyoptimizedforvideoswithalow-rankstructure.Inthispaper,wepresentanoverviewoftheMSSvideoencodingmethod.WedescribethemathematicalbackgroundofMSS,andcompareittoothercommonlyusedvideocompressiontechniques.WealsopresentexperimentalresultsthatdemonstratetheeffectivenessofMSSinreducingthesizeofvideodata. Background Regularvideocompressiontechniquesrelyonatransformationoftheindividualframesorgroupsofframesintoasparserepresentationthatcanbeefficientlycoded.Thisapproachworkswellforvideoswheretheinformationisspreadoutacrossmanyindependentframes,butcanbelesseffectiveforvideosthathavealow-dimensionalstructure,suchasvideosofrotatingobjectsorvideoswithafixedcameraviewpoint. MSSisarecenttechniquethataddressesthisproblembyexploitingthelow-rankstructureofvideos.Inthecontextofvideocompression,avideosequencecanbeviewedasatensor(i.e.amultidimensionalarray)ofpixelvalues.Ifthevideohasalow-rankstructure,i.e.ifthetensorcanbeapproximatelyexpressedasaproductoflower-dimensionalmatrices,thentheMSSmethodcanexploitthisstructuretoachievebettercompression. Method ThebasicideabehindMSSistofactorizethetensorrepresentingthevideosequenceintoasetoflower-dimensionalmatrices,andthentoquantizeandencodethesematricesusingconventionalvideocompressiontechniques. Tofactorizethetensor,MSSusestheTuckerdecomposition,atechniquethatinvolvesorthogonalizingthetensoralongeachmode(i.e.eachdimensionofthetensor)andthenprojectingitontoalower-dimensionalsubspace.Theresultisasetofcorematrices,andasetoffactormatrices,whichdescribehowthetensorcanbereconstructedfromthecorematrices. Oncethetensorhasbeenfactorized,thefactormatricescanbecompressedusingconventionalvideocompressiontechniquessuchasH.264orHEVC.However,becausethefactormatricesarelow-dimensional(typically2Dor3D),theycanbecompressedmuchmoreefficientlythantheoriginalhigh-dimensionaltensor. ExperimentalResults WeevaluatedtheperformanceoftheMSSmethodonasetofvideoswithv

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