简介：Inthispaper,amethodtoconstructasurfacewithpointinterpolationandnormalinterpolationispresented.Analgorithmtoconstructthediscreteinterpolationisalsopresented,whichhasthetimecomplexityO(NlogN),whereNinthenumberofscatteredpoints.

简介：AnewmethodforconstructinginterpolatingLoopsubdivisionsurfacesispresented.ThenewmethodisanextensionoftheprogressiveinterpolationtechniqueforB-splines.GivenatriangularmeshM,theideaistoiterativelyupgradetheverticesofMtogenerateanewcontrolmeshMsuchthatlimitsurfaceofMwouldinterpolateM.ItcanbeshownthattheiterativeprocessisconvergentforLoopsubdivisionsurfaces.Hence,themethodiswell-defined.Thenewmethodhastheadvantagesofbothalocalmethodandaglobalmethod,i.e.,itcanhandlemeshesofanysizeandanytopologywhilegeneratingsmoothinterpolatingsubdivisionsurfacesthatfaithfullyresembletheshapeofthegivenmeshes.Themeshesconsideredherecanbeopenorclosed.

简介：Inrecentyearswehavewitnessedalargeinterestinsurfacedeformationtechniques.Thishasbeenareactionthatcanbeattributedtotheabilitytodeveloptechniqueswhicharedetail-preserving.Spacedeformationtechniques,ontheotherhand,receivedlessattention,butneverthelesstheyhavemanyadvantagesoversurface-basedtechniques.Thispaperexploresthepotentialofthesetwoapproachestodeformationanddiscussestheopportunitiesthatthefusionofthetwomayleadto.

简介：NewalgorithmsbasedonartificialneuralnetworkmodelsarepresentedforcubicNURBScurveandsurfaceinterpolation.Whenallthknotspansareidentical,theNURBScurveinterpolationproceduredegeneratesintothatofuniformrationalB-splinecurves.Ifalltheweightsofdatapointsareidentical,thentheNURBScurveinterpolationproceduredegeneratesintotheintegralB-splinecurveinterpolation.