廣義Ball基函數(shù)的對偶基及其應(yīng)用.pdf

1、合肥工業(yè)大學(xué)碩士學(xué)位論文廣義Ball基函數(shù)的對偶基及其應(yīng)用姓名：江平申請學(xué)位級別：碩士專業(yè)：計算機輔助幾何設(shè)計指導(dǎo)教師：鄔弘毅檀結(jié)慶2003.3.1DualbasisfunctionsforgeneralizedBallbasisanditsapplicationsAbstractThethesisiscomposedoffourchapters，InChapteronetheauthorgivesthedefinitionoftheS

2、aidBallcurvesandtheirpropertiesBymeansofthedual(functional)ofSaidBailbasis，theMagsdenidentityisgotintermsofSaidBallbasis，andadegreereductionalgorithmforSaidBallcurvesispresented妞onghthetransformfromBgfiercurves協(xié)SaidBailc

3、urves，ChaptertwoisfocusedontheWangBaitcBlves，includingdefinition，propertiesandrecursionalgorithmsTheauthorderivesthedualfunctionaloftheWangBallbasisforthefirsttimeandthenobtainstheexplicitexpressionofWangBallbasisinterms

4、oftheBemsteinbasisTheemphasisofChapterthreeislaiduponthegeneralizedBallellivesofSaidBeziertype(SBGBClLrves)whichincludesSaidBallcurves，B6ziercurvesandsomeoftheirintermediatecurvesasspecialCasesThecontentsinvolvethereeurs

5、ionalgorithms。thedualfunctionalofSBGBbasisandthetransformationformulabetweenSBGBbasisandBemsteinbasis羽耱coBvexhuIlofSBGBandsubdivisionaigorithmsarealSOdiscussedLastbutnotleast，generalizedBallcurvesoftheWangSaidtypeCVVSGBc

6、urves)alentroducedinChapterfourItlspointedoutthatWangBallcurves。SaidBailcurvesandsomeotherintermedlatecurvesarea11membersoftheWSGBfamilyBymaking鑫thoroughstudyofWSGBcurvestheauthoracquirestwomainresultsie。，the衄ansfOrmatio