简介：Inthispaper,weproposeadiscrepancyrule-basedmethodtoautomaticallychoosetheregularizationparametersfortotalvariationimagerestorationproblems.Theregularizationparametersareadjusteddynamicallyineachiteration.Numericalresultsareshowntoillustratetheperformanceoftheproposedmethod.

简介：Weproposeanewalgorithmforthetotalvariationbasedonimagedenoisingproblem.ThesplitBregmanmethodisusedtoconvertanunconstrainedminimizationdenoisingproblemtoalinearsystemintheouteriteration.Analgebraicmulti-gridmethodisappliedtosolvethelinearsystemintheinneriteration.Furthermore,Krylovsubspaceaccelerationisadoptedtoimproveconvergenceintheouteriteration.Numericalexperimentsdemonstratethatthisalgorithmisefficientevenforimageswithlargesignal-to-noiseratio.

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简介：在有水平运动污迹的这幅纸图象，垂直运动污迹和angled运动污迹被考虑。我们构造几个差别计划到高度非线性的术语吗？?

简介：RecentlyGuointroducedintegratedMeyer-KonigandZelleroperatorsandstudiedtherateofconvergenceforfunctionofboundedvariation.Inthisnotewegiveasharpestimatefortheseoperators.

简介：WeknowthattheBoxdimensionoff(x)∈C~1[0,1]is1.Inthispaper,weprovethattheBoxdimensionofcontinuousfunctionswithboundedvariationisstill1.Furthermore,BoxdimensionofWeylfractionalintegralofabovefunctionisalso1.

简介：Thispapergivesthedegreeofapproximationoffunctionofboundedvariationbythepartialsumsofcon-jngateLegendre-FourierSeries.

简介：BymeansofthecontinuousGlimmfunctional,aproofisgivenontheglobalexistenceofclassicalsolutionstoCauchyproblemforgeneralfirstorderquasilinearhyperbolicsystemswithsmallinitialtotalvariation.

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简介：参数公式和Gronwall类型积分不平等的一个变化为包含一般piecewise的一个微分方程被证明或者先进、延迟的争论。

简介：Inthispaper,weprovethattheprocessofproductvariationofatwo-parametersmoothmartingaleadmitsan∞modification,whichcanbeconstructedasthequasi-surelimitofsumofthecorrespondingproductvariation.