Amar Mitiche, Ismail Ben Ayed - Variational and Level Set Methods in Image Segmentation

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1、SpringerTopicsinSignalProcessingVolume5SeriesEditorsJ.Benesty,Montreal,CanadaW.Kellermann,Erlangen,GermanyForfurthervolumes:http://www.springer.com/series/8109AmarMitiche·IsmailBenAyedVariationalandLevelSetMethodsinImageSegmentation123Prof.AmarMiticheDr.IsmailBenAyedInstitutNat

2、ionaldelaRechercheInstitutNationaldelaRechercheScientifique(INRS)Scientifique(INRS)800,delaGauchetiereOuest`800,delaGauchetiereOuest`Montreal,Quebec,CanadaMontreal,Quebec,Canadamitiche@emt.inrs.cabenayedi@emt.inrs.caISSN1866-2609e-ISSN1866-2617ISBN978-3-642-15351-8e-ISBN978-3-642

3、-15352-5DOI10.1007/978-3-642-15352-5SpringerHeidelbergDordrechtLondonNewYorkLibraryofCongressControlNumber:2010935288cSpringer-VerlagBerlinHeidelberg2010Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftransl

4、ation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusem

5、ustalwaysbeobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregu

6、lationsandthereforefreeforgeneraluse.Coverdesign:WMXDesignGmbH,HeidelbergPrintedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)Contents1INTRODUCTION.............................................1References..........................................

7、...........102INTRODUCTORYBACKGROUND............................152.1Euler-Lagrangeequations....................................152.1.1Definiteintegrals....................................152.1.2Variabledomainofintegration.........................172.2Descentmethodsforunconstrai

8、nedoptimization................202.2.1Realfunctions...