基于隱函數(shù)實現(xiàn)點云數(shù)據(jù)重構方法的研究

1、遼寧師范大學碩士學位論文基于隱函數(shù)實現(xiàn)點云數(shù)據(jù)重構方法的研究姓名：劉金玲申請學位級別：碩士專業(yè)：課程與教學論（計算機）指導教師：唐棣20090501ABSTRACTThesurfacereconstructionofsamplingpointsisoneofthepivotalproblemsonreverseengineeringManyscholarsathomeandabroadarefocusonitandimplemented

2、itbydifferentmethodsToimplementthereconstructionofsamplingpointsadopttheformoftheimplicitfunctioninthisthesisThemaincontentsareasfollows：Firstly，adetailedstudyaboutthecurrentrelatedtechnologiesofsamplingpoints’reconstruc

3、tionhasbeendoneDiscussingtheimplicitfunctionsuchasthesigneddistancefunction，radialbasisfunctionandTspline，describetheprocessing，applyingrangeandtheflawWiththedevelopmentofsurveydevicesandtechnologies，thesamplingpointssho

4、uldbepreprocessedAccordingtothetangentplanethenormalconstrainswereadjustedFurthermore，forusingofmeasurementdataefficiently，thegeometrictopologyofthedatashouldbeconsideredInordertoimprovethegeometricmodelingspeed，spatiald

5、atastructuressuchasBinarySpacePartitiontree(BSPtree)，KD—tree(multidimensionaltwotree)andtheoctreecanstorethedataThehierarchicaloctreestructurecansignificantlyspeedupthesearchingspeed，SOoctreespacepartitionstructureindica

6、tedthedataSecondly，thereconstructionofsamplingpointsbasedonthePoissonequationAccordingtotheGauss’Stheorem，thePoissonequationimplementedthereconstructionUsingtheiteration，Poissonequationsolvedtheprocessinthecaseoflowmemor

7、yusagePoisson’Sequationiszerointheboundaryofthevalue，SOthespurioussurfacesheetswereavoidedandgeneratedthesmoothsurfaceusingtheexamplestoverifYthealgorithmFinally，discussingthefastFouriertransformimplementedthereconstruct