帶形狀參數(shù)的α-B樣條插值曲線及曲面.pdf

1、帶形狀參數(shù)的aB樣條插值曲線及曲面口一Bsplineinterpolationcurvesandsurfacewithshapeparameters作者姓名整垃學(xué)位類型堂壓亟學(xué)科、專業(yè)鹽簋數(shù)堂研究方向讓簋扭抽助且血逞讓導(dǎo)師及職稱酆塾毅數(shù)援2006年5月17BsplineinterpolationcurvesandsurfacewithshapeparametersAbstraetThethesisiscomposedoffivechap

2、tersInthefirstchaptertheauthorbrieflyintroducesthebackgroundandthemaincontentofthisthesisThesecondchapterisfocusedontheB—splinecurve’sdefinitionandpropertiesThethirdchapterintroducestheextensionofBsplinecurveAtfirsttheau

3、thorintroducesuniformBsplinecurvewithoneshapeparameterpresentedbyHartxuli；andthen，theuniformBsplinecurvewithmultipleshapeparametersanditsproperties，whichisconstructedbyZhangliandWuhongyi，urepresented；atlast，thea—Bspline：

4、linearsingularblendingBsplinecurvepresentedbyKFLoeisintroducedThefourthchapterintroducesthe口Bsplineinterpolationcurveanditsproperties，whichispresentedbyPanyongjuanandWangguojinInthelastchapter，theauthorpresentstheextensi

5、onof17BsplineinterpolationcurveSeveral口BsplineinterpolationcurveswithmultipleshapeparametersareconstructedbyintroducingnewshapeparametersThenC2orC’continuityofthesecurvesarepresented，andthetotalor10calmodificationofthese