Springer.Osher.Fedkiw.Level.set.and.dynamic.implicit.suraces.(Springer.2003)

Springer.Osher.Fedkiw.Level.set.and.dynamic.implicit.suraces.(Springer.2003)

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時(shí)間:2019-03-06

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1、StanleyOsherRonaldFedkiwLevelSetMethodsandDynamicImplicitSurfacesWith99Figures,Including24inFullColorviiiPrefaceofmovinginterfacesplaysakeyroleintheproblemtobesolved.Asearchof?levelsetmethods?ontheGooglewebsite(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

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