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1、www.aibbt.com专注人工智能HANDBOOKOFMATHEMATICALMODELSINCOMPUTERVISIONwww.aibbt.com专注人工智能HANDBOOKOFMATHEMATICALMODELSINCOMPUTERVISIONEditedbyNikosParagiosEcoleNationaledesFontsetChausseesYunmeiChenUniversityofFloridaOlivierFaugerasINRIASpringerwww.aibbt.com专注人工智能LibraryofCongressCataloging-
2、in-PublicationDataACLP.CataloguerecordforthisbookisavailablefromtheLibraryofCongress.HandbookofMathematicalModelsinComputerVision,EditedbyNikosParagios,YunmeiChenandOlivierFaugerasp.cm.ISBN-10:(HB)0-387-26371-3ISBN-13:(HB)978-0387-26371-7ISBN-10:(eBook)0-387-28831-7ISBN-13:(eBook)978
3、-0387-28831-4Printedonacid-freepaper.Copyright©2006bySpringerScience+BusinessMedia,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedmwholeorinpartwithoutthewrittenpermissionofthepublisher[SpringerScience+BusinessMedia,Inc.,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexc
4、erptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarksandsim
5、ilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.987654321SPIN11055662(HC)/11552987(eBook)springeronline.comwww.aibbt.com专注人工智能ContentsPrefacexixListofContributorsxxiiiI
6、ImageReconstruction11DiffusionFiltersandWavelets:WhatCanTheyLearnfromEachOther?3J.Weickert,G.Steidl,P.Mrazek,M.Welk,andT.Brox1.1Introduction31.2BasicMethods41.2.1WaveletShrinkage41.2.2NonlinearDiffusionFiltering51.3RelationsforSpace-DiscreteDiffusion61.3.1EquivalenceforTwo-PixelSigna
7、ls61.3.2AWavelet-InspiredSchemeforTVDiffusionofSignals71.3.3GeneralisationstoImages81.4RelationsforFullyDiscreteDiffusion91.4.1Diffusion-InspiredShrinkageFunctions91.4.2WaveletShrinkagewithImprovedRotationInvariance.101.4.3Diffusion-InspiredWaveletShrinkageofColourImages131.5Wavelets
8、withHigherVa
