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Abstract:Thedirectionofthemotionwhichblurstheimagecanbedealtwithasunchangingduringtheshortexposingtime.If
itisidentified,theblurreddirectioncanberotatedtothehorizontalaxis,andtheimagerestorationcanbeworkedouteasilyinone
dimension.Anexcellentsimplemodelforimagerystatisticsisthatofaspatiallyisotropicfirst 2orderMarkovprocess.The
autocorrelationoftheoriginalimageanditspowerspectrumareassumedtobeapproximatelyisotropic.Themotionblurring
decreasestheoriginalimage ’shighfrequencycontentsinthemotiondirection.Thus,aderivativeoftheimageinthemotion
directionwouldsuppressmoreimageintensitythanaderivationinotherdirection.Thenthemotiondirectionisidentifiedfromthe
blurredimage.Thederivationmatrixisthekeyfortheidentification.Weselectaproprietyunchangingstepforthedirection
derivation,a3 ×rectionderivationmatrixisthenconstructedbyusingthedoublelineinterposition.This3 ×3directio