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1、MarkovRandomFieldsforVisionandImageProcessingMarkovRandomFieldsforVisionandImageProcessingeditedbyAndrewBlake,PushmeetKohli,andCarstenRotherTheMITPressCambridge,MassachusettsLondon,England?2011MassachusettsInstituteofTechnologyAllrightsreserved.Nopartofthisbookmaybereproducedinany
2、formbyanyelectronicormechanicalmeans(includingphotocopying,recording,orinformationstorageandretrieval)withoutpermissioninwritingfromthepublisher.Forinformationaboutspecialquantitydiscounts,pleaseemailspecial_sales@mitpress.mit.eduThisbookwassetinSyntaxandTimesNewRomanbyWestchester
3、BooksComposition.PrintedandboundintheUnitedStatesofAmerica.LibraryofCongressCataloging-in-PublicationDataMarkovrandom?eldsforvisionandimageprocessing/editedbyAndrewBlake,PushmeetKohli,andCarstenRother.p.cm.Includesbibliographicalreferencesandindex.ISBN978-0-262-01577-6(hardcover:a
4、lk.paper)1.Imageprocessing—Mathematics.2.Computergraphics—Mathematics.3.Computervision—Mathematics.4.Markovrandom?elds.I.Blake,Andrew,1956–II.Kohli,Pushmeet.III.Rother,Carsten.TAI637.M3372011006.370151—dc22201004670210987654321Contents1IntroductiontoMarkovRandomFields1AndrewBlake
5、andPushmeetKohliIAlgorithmsforInferenceofMAPEstimatesforMRFs292BasicGraphCutAlgorithms31YuriBoykovandVladimirKolmogorov3OptimizingMultilabelMRFsUsingMove-MakingAlgorithms51YuriBoykov,OlgaVeksler,andRaminZabih4OptimizingMultilabelMRFswithConvexandTruncatedConvexPriors65HiroshiIshik
6、awaandOlgaVeksler5LoopyBeliefPropagation,MeanFieldTheory,andBetheApproximations77AlanYuille6LinearProgrammingandVariantsofBeliefPropagation95YairWeiss,ChenYanover,andTalyaMeltzerIIApplicationsofMRFs,IncludingSegmentation1097InteractiveForegroundExtraction:UsingGraphCut111CarstenRo
7、ther,VladimirKolmogorov,YuriBoykov,andAndrewBlake8Continuous-ValuedMRFforImageSegmentation127DheerajSingaraju,LeoGrady,AliKemalSinop,andRenéVidal9BilayerSegmentationofVideo143AntonioCriminisi,GeoffreyCross,AndrewBlake,andVladimirKolmogorov10MRFsforSuperresolutionandTextureSynthesi
8、s155WilliamT.FreemanandCeLiuviCon