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1、IntJAdvManufTechnol(1999)15:876±885Ó1999Springer-VerlagLondonLimitedB-SplineSurfaceApproximationtoCross-SectionsUsingDistanceMapsJ.Jeong1,K.Kim1,H.Park2,H.Cho1andM.Jung11DepartmentofIndustrialEngineering,PohangUniversityofScienceandTechnology,Pohang,Korea;and2E-CIMTeam,Corporate
2、R&DCenter,SamsungElectronics,Suwon,KoreaTheshapereconstructionofa3Dobjectfromits2Dcross-ThemaintasksofthisshapereconstructionproblemusuallysectionsisimportantforreproducingitbyNCmachiningorconsistofinputcompilation,correspondencedecision,andrapidprototyping.Inthispaper,wepresent
3、amethodofsurface®tting.Intheinputcompilationproblem,theregionssurfaceapproximationtocross-sectionswithmultiplebranch-ofinterest(ortheircontours)mustbeextractedfromcross-ingproblems.Inthismethod,we®rstdecomposeeachmultiplesectionalimagesandcompressedintoasimplerformthatcanbranchi
4、ngproblemintoasetofsinglebranchingproblemsbybeeasilyhandledwithsmallstorage[2].Thisinputcompilationprovidingasetofintermediatecontoursusingdistancemaps.isatopicincomputervisionorimageprocessing.Thecorre-Foreachsinglebranchingregion,aprocedurethenperformsspondencedecisionproblem,
5、whichariseswhenevertherearetheskinningofcontourcurvesrepresentedbycubicB-splinemultiplecontoursinacross-section,istodeterminetopologicalcurvesonacommonknotvector,eachofwhichis®ttedtoitslinksorrelationsbetweenthecontoursonadjacentcross-contourpointswithinagivenaccuracy.Inordertoa
6、cquireasections[3±6].Anautomaticsolutionofthisproblemisverymorecompactrepresentationforthesurface,themethoddif®cultinitsgeneralform.Thesurface-®ttingproblemconsistsincludesanalgorithmforreducingthenumberofknotsintheofgeneratingasurfacethateitherinterpolatesorapproximatescommonkn
7、otvector.Theapproximationsurfacetothecross-thepointsinthecontourlinks.sectionsisrepresentedbyasetofbicubicB-splinesurfaces.SeveraldifferentmethodshavebeenproposedforsurfaceThismethodprovidesasmoothsurfacemodel,yetrealises®ttinginthereconstructionproblem.Thepolyhedron-basedef®cie
8、ntdatareduction.approaches[3±10],intensivelystu