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1、StanleyOsherRonaldFedkiwLevelSetMethodsandDynamicImplicitSurfacesWith99Figures,Including24inFullColorviiiPrefaceofmovinginterfacesplaysakeyroleintheproblemtobesolved.Asearchof•levelsetmethodsŽontheGooglewebsite(whichgaveover2,700responsesasofMay2002)willgi
2、veaninterestedreadersomeideaofthescopeandutilityofthemethod.Inaddition,someexcitingadvancesinthetechnologyhavebeenmadesincewebeganwritingthisbook.Wehopetocovermanyofthesetopicsinafutureedition.Inthemeantimeyoucan“ndsomeexcitinganimationsandmovingimagesaswe
3、llaslinkstomorerelevantresearchpa-Prefacepersviaourpersonalwebsites:http://graphics.stanford.edu/~fedkiwandhttp://www.math.ucla.edu/~sjo/.AcknowledgmentsManypeoplehavehelpedusinthiseort.Wethankthefollowingcol-leaguesinparticular:SteveMarschner,PaulRomburg
4、,GaryHewer,andSteveRuuthforproofreadingpartsofthemanuscript,PeterSmerekaandLi-TienChengforproviding“guresforthechapteronCodimension-TwoObjects,MyungjooKangforproviding“guresforthechapteronMotionInvolvingMeanCurvatureandMotionintheNormalDirection,AntonioMar
5、quinaandFredericGibouforhelpwiththechapteronImageRestora-tion,Hong-KaiZhaoforhelpwithchapter13,ReconstructionofSurfacesScope,Aims,andAudiencesfromUnorganizedDataPoints,andLuminitaVeseforhelpwiththechap-teronSnakes,ActiveContours,andSegmentation.Weparticula
6、rlythankThisbook,LevelSetMethodsandDynamicImplicitSurfacesisdesignedBarryMerrimanforhisextremelyvaluablecollaborationonmuchofthetoservetwopurposes:researchdescribedhere.Ofcoursewehavebene“ttedimmenselyfromcol-PartsIandIIintroducethereadertoimplicitsurfaces
7、andlevelsetlaborationsanddiscussionswithfartoomanypeopletomention.Wehopemethods.Wehaveusedthesechapterstoteachintroductorycoursesonthethesecolleaguesandfriendsforgiveusforomittingtheirnames.materialtostudentswithlittlemorethanafundamentalmathbackground.Wew
8、ouldliketothankthefollowingagenciesfortheirsupportduringNopriorknowledgeofpartialdierentialequationsornumericalanalysisthisperiod:ONR,AFOSR,NSF,ARO,andDARPA.Weareparticularlyisrequired.These“rsteightchapters
