集合數(shù)據(jù)的擬合在實體造型中的應用.pdf

1、吒770435飯旦大學碩士學位論文學校代碼學號集合數(shù)據(jù)的擬合在實體造型中的應用院系(所)：數(shù)學科學學院專姓業(yè)：應用數(shù)學名：楊艷指導教師：吳宗敏教授完成日期：2005年4月2日麓鎣囂辨捌壘X；箍1’102460220l8037復旦大學碩士學位論文ABSTRACTWhendealingwiththesolidmodellingandreconstructions，especiallythereconstructionof3Dobject，a

2、foundationalmethodistoconstructasetvaluedfunctionfromaseriesof2Ddimensionalcrosssectionalsets(usuallycompactsets)BasedontheideaofBezieranddeBoor，wecanusethesubdivisionschemetoconstructapolynomialorsplinesetvaluedfunction

3、withpiecewiselinearin—terpolationforcompactsetimagesInthispaperweimprovethedefinitionofsetaveragedefinedinArtstein[11BasedOnthenewdefinitionthespliaesuhdivVsionschemesaswellastheinterpolatorysubdivisionschemesforgeneralc

4、ompactsetsareintroducedFurthermoretheconvergencepropertiesofthesubdivisionschemesarediscussedComparisonresultsbasedonthenewdefinitionwiththeoldoneareincIudedanddemonstratedthatourdefinitionpossessesmorephysicalmeaningsfo