與給定多邊形相切的可調(diào)閉樣條曲線.pdf

1、合肥工業(yè)大學(xué)碩士學(xué)位論文與給定多邊形相切的可調(diào)閉樣條曲線姓名：高健申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：計(jì)算數(shù)學(xué)指導(dǎo)教師：蘇化明20090301ClosedadjustablesplinecurvewithgiventangentpolygonAbstractThisthesisiscomposedoffivechaptersInthefirstchapter，webrieflyintroducesthebackgroundandthemaincon

2、tentofthisthesisThesecondchapterisfocusedonthedefinitionandpropertiesoftheBrziersplinecurvesAndweintroduceBrziercurvesofdegree4containsoneshapeparameterarcalladjustableandshapeperseveringtothegivenpolygonBasedonthechapte

3、rtwo，thethirdchapterproposesclosedadjustablequarticB6ziercurvescontainstwoshoeparameterswithgiventangentpolygonIntheforthchapterweintroducesthegeneralizedBallCurvesof3rd、岫degreecontainsoneshoeparameterwithalledgestangent

4、toagiventangentpolygonandthecurvesegmentsareioinedtogetherwithC1andC2continuityThegeneralizedBallcurveof5thdegreewithC3continuitycontainsnoshoeparameter，SOitcannotbeaajustableBasedonthechapterfourthefifthchapterproposesc

5、losedadjustablegeneralizedBallcurvesof3rd、5thdegreecontainstwoshapeparameterswithalledgestangenttoagiventangentpolygonandthecurvesegmentsarejoinedtogetherwithC1andC2continuityThegeneralizedBallcurvewithC3continui夠contain

6、soneshapeparameter，itCanbeadjustableThelocalmodificationsforthesecurvesarepossible，itcanlocallyorgloballyapproximatesthetangentpolygonTheexamplesillustratetheavailabilityofthiskindofcurves。KeYwords：tangentpolygon；Brzierc