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带有给定切线多边形的保形有理三次B样条曲线 被引量:6

SHAPE PRESERVING RATIONAL CUBIC B-SPLINE CURVES WITH GIVEN TANGENT POLYGONS
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摘要 本文给出了带有给定切线多边形的保形有理三次B样条曲线,其部分权因子可通过选取切点的位置来确定。由此方法还导出了保形有理三次B样条插值曲线。最后,给出了两个例子。 A closed shape preserving rational cubic B-spline curve with given tangent polygon is presented and part of its weight factors can be given by choosing the positions of the contact points. A shape preserving rational cubic B-spline interpolation curve is derived. Two examples are given.
机构地区 国防科技大学
出处 《工程图学学报》 CSCD 1996年第2期99-105,共7页 Journal of Engineering Graphics
关键词 切线多边形 B样条曲线 插值曲线 曲线 tangent polygon rational cubic B-spline curve interpolation curve
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  • 1丁友东,汪斌,吴高峰,华宣积.广义Ball曲线的性质及其应用[J].计算机应用,2000,20(S1):138-139. 被引量:2
  • 2刘植.与给定多边形相切的C^3 Bézier可调闭样条曲线[J].合肥工业大学学报(自然科学版),2005,28(2):223-224. 被引量:5
  • 3方逵.G^2-连续的保凸插值三次Bezier样条曲线[J].计算机辅助设计与图形学学报,1994,6(4):277-282. 被引量:12
  • 4方逵,朱国庆.C^2有理插值样条曲线曲面[J].国防科技大学学报,1996,18(3):147-151. 被引量:2
  • 5Hering L.Closed (C2-and C3-continuous) Bézier and B-spline curve with given tangent polygons[J].CAD,1983,(1):3-6.
  • 6Bohemtal W.A survey of curve and surface methods in CAGD[J]. Computer Aided Geometric Design, 1984,1 ( 1 ) : 1-60.
  • 7Tgoodman T N T, Ong B H.Shape preserving interpolation by space curve[J].Computer Aided Geometric Design, 1997, 14(1) : 1-17.
  • 8Yamagushi F.A new curve fitting method using a CRT computer display[J].Graphics and Processing, 1978,7:425-437.
  • 9Mineur Y,Lichah T,Castelain J M,et al.A shape controlled fitting method for Bezier curves[J].Computer Aided Geometric Design,1998,15(9):879-891.
  • 10Farin Gerald.Class a Bezier curves[J].Computer Aided Geometric Design,2006,23(7):573-581.

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