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1、Computer-AIdedDesrgnVol28,No12.,,p995-1005,1996Copyghtc1996Elsev~erSmenceLtdPrIntedinGreatBrftaln.AllrightsreservedPII:soolo-4485(96)ouOl9-XOOlO-4485156/$15oo+o00Smoothsurfaceapproximationtoserialcross-sectionsHyungjunPark*andKwangsooKimtinterpolatesorapproximatesthe
2、pointsinthecontourThereconstructionofthesurfacemodelofanobjectfrom2Dlinks.cross-sectionsplaysanimportantroleinmanyapplications.InSeveraldifferentmethodshavebeendescribedforthispaper,wepresentamethodforsurfaceapproximationtoasurfacefittinginthereconstructionproblem.Th
3、egivensetof2Dcontours.Theresultingsurfaceisrepresentedbypolyhedron-basedapproaches3-,intensivelystudiedabicubicclosedB-splinesurfacewithCcontinuity.Theduringthepastdecade,generateapolyhedralmodelmethodperformstheskinningofintermediatecontourcurvesdefinedbyamosaicoftr
4、iangularorquadrilateralfacets.representedbycubicB-splinecurvesonacommonknotvector,Tilingalgorithms4P0havebeendescribedforgeneratingeachofwhichisfittedtoitscontourpointswithinagiventriangularfacetsortilesbetweenpairsofadjacent2Daccuracy.Inordertoacquiremorecompactrepr
5、esentationforcontours.Moreover,tohandlethegeneralcaseinthesurface,themethodincludesanalgorithmforreducingthewhicheachcross-sectionmaycontainmultiplecontours,numberofknotsinthecommonknotvector.Theproposedbranchingalgorithms3-*havebeenproposedforlinkingmethodprovidesas
6、moothandaccuratesurfacemodel,yetoneormorecontourinonecross-sectiontomultiplerealizesefficientdatareduction.Someexperimentalresultsarecontoursinanadjacentcross-sectionwithtriangulargivenusingsyntheticandMRIdata.Copyright($31996facets.However,thedevelopmentofanautomati
7、candElsevierScienceLtdgeneralbranchingalgorithmremainsanareaofopenresearchinterest.ThewireframemeshdescribedbyKeywords:surfaceapproximation,cross-sections,algorithms,thesepolyhedralmodelsprovidesthesupportstruc-B-splines,surfaceskinningturenecessarytointroducemorecom
8、plexsurfacepatchmodels.Thismeshisfilledmostlywithrectangularand/ortriangularsurfacepatches.SeveralInmanyresearchandapplicationareas
