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带形状参数的C-B样条曲线 被引量：2

C-B Spline Curves with Shape Parameters
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摘要 利用积分方法构造了带形状参数的C-B样条曲线基函数,这类曲线具有标准C-B样条曲线主要性质,如连续性、凸包性等;根据形状参数的各种不同取值调控曲线形状,由此生成的曲线与曲面,作为一种新的几何造型方法,可应用于CAD/CAM领域。 A new class of basis functions was present to construct C-B spline curves with shape parameters,This kind of curve combines the main properties of the standard C-B spline curve. The shape of such curves can be adjusted by changing the values of the shape parameters. As a new geometric modeling method,generating of such curves and surfaces can be applied in CAD/ CAM.
作者 韩敬利
机构地区 中国人民解放军理工大学指挥自动化学院
出处 《科学技术与工程》 2010年第26期6559-6561,6568,共4页 Science Technology and Engineering
关键词 带形状参数的C-B样条基函数 形状调控 升阶 割角 basis functions of C-B spline curves with shape parameters shape adjusting degree elevation corner cutting
分类号 TP391.72 [自动化与计算机技术—计算机应用技术]
  • 相关文献

参考文献8

  • 1Chen Qinyu,Wang Guozhao.A Class of Bezier-like curves.Computer Aided Geometric Design,2003,20:29-39.
  • 2Piegl L.Modifying the shape of rational B-splines,Part 1:curvers.Computer Aided Design,1989;21(8):509-518.
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  • 4Sanchez R J.A simple technique for NURBS shape modification.IEEE Computer Graphics and Application,1997;17(1):52-59.
  • 5Hu Shimin,Zhou Denwen,Sun Jiaguang.Shape modification of NURBS curves via constrained optimization.In:Proceedings of the CAD/Graphicx99.Shanghai:WenHui Publishers,1999:958-962.
  • 6Hu Shimin,Li Youfu,Jutao.Modifying the shape of NURBS surfaces with geometric constraints.Computer Aided Design,2001;33(12):903-912.
  • 7王文涛,汪国昭.带形状参数的双曲多项式均匀B样条[J].软件学报,2005,16(4):625-633. 被引量：43
  • 8王文涛,汪国昭.带形状参数的三角多项式均匀B样条[J].计算机学报,2005,28(7):1192-1198. 被引量：70

二级参考文献9

  • 1张纪文,罗国明.三次样条曲线的拓广──C曲线[J].计算机辅助工程,1996,5(3):12-20. 被引量：238
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共引文献82

同被引文献15

  • 1王文涛,汪国昭.带形状参数的双曲多项式均匀B样条[J].软件学报,2005,16(4):625-633. 被引量：43
  • 2王文涛,汪国昭.带形状参数的三角多项式均匀B样条[J].计算机学报,2005,28(7):1192-1198. 被引量：70
  • 3Lu Y G, Wang G Z. Uniform hyperbolic polynomial B-spline curv- ers. Computer Aided Geometric Design,2002 ; 19 (6) :379-393.
  • 4Piegl L. Modifying the shape of rational B-splines, Part 1 : curvers. Computer Aided Design, 1989 ;21 (8) :509-518.
  • 5Au C K, Yuen M F. Unified approach to NURBS curve shape modifi- cation. Computer Aided Design, 1995 ;27 (2) : 85 -93.
  • 6Sanchez R J. A simple technique for NURBS shape modification. IEEE Computer Graphics and Application, 1997 ; 17 ( 1 ) :52-59.
  • 7Hu shi-min, Zhou Den-wen, Sun jia-guang. Shape modification of NURBS curves via constrained optimization//In: Proceedings of the CAD/Graphicx' 99. Shanghai : WenHui Publishers, 1999:958-962.
  • 8Hu Shi-min, Li You-fu, Ju-tao. Modifying the shape of NURBS sur- faces with geometric constraints. Computer Aided Design, 2001;33 (12) :903-912.
  • 9Qinyu Chen, Guozhao Wang. A Class of Bezier-like curves[J]. Computer Aided Geometric Design 20(2003) 29-39.
  • 10Piegl L.Modifying the shape of rational B-splines, Part l:curvers [J]. Computer Aided Design, 1989,21(8):509-518.

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科学技术与工程
2010年 第26期

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