期刊文献+

特殊曲线的规范B基表示 被引量:3

The representation of special curves by normalized B-basis
下载PDF
导出
摘要 目的 研究一类特殊曲线的规范B基表示问题。方法 利用规范B基的理论及性质进行讨论。结果 进一步讨论了圆和摆线的表示,给出了正弦曲线、悬链线和指数曲线的规范B基表示。结论 丰富了规范B基的内容,扩展了其应用范围。 AimTo study the representation of special curves by normalized B-basis.MethodsIt is discussed by the theory and properties of normalized B-basis.ResultsThe representations of circle,cycloid,sinusoidal,catenary and exponential curve by normalized B-basis are given.ConclusionIt enriches content of normalized B-basis and extended its application.
出处 《西北大学学报(自然科学版)》 CAS CSCD 北大核心 2004年第3期259-262,共4页 Journal of Northwest University(Natural Science Edition)
基金 陕西省教育厅专项基金资助项目(00JK119)
关键词 规范B基 函数空间 CAGD normalized B-basis functional spaces CAGD
  • 相关文献

参考文献2

二级参考文献4

  • 1CarnieerJM PefiaJM.Totally positive bases for shape preserving curve design and optimality of B-splines[J].Computer Aided Geometric Design,1994,11(6):633-654.
  • 2MainarE PenaJM.Corner cutting algorithms associated with optimal shape preserving representations[J].Computer Aided Geometric Design,1999,16(9):883-906.
  • 3MainarE PeniaJM Sanehez-RenesJ.Shape preserving alternatives to the rational Bézier model[J].Computer Aided Geometric Design,2001,18(1):37-60.
  • 4JiwenZhang.C-curve: An extension of cubic curves [J].Computer Aided Geometric Design,1996,13(3):199-217.

共引文献237

同被引文献11

  • 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:236
  • 2POTTMANN H.The geometry of Tchebycheffian spline[J].Computer Aided Geometric Design,1993,10(2):181-210
  • 3MAZURE M L.Chebyshev-Bernstein bases[J].Computer Aided Geometric Design,1999,16(7):649-669
  • 4LU Yong-gang,WANG Guo-zhao,YANG Xun-nian.Uniform hyperbolic polynomial B-spline curves[J].Computer Aided Geometric Design,2002,19(5):379-393.
  • 5Jiwen Zhang.C-curves:An extension of cubic curves,Computer Aided.Geometric Design,1996,13 (3):199 -217.
  • 6Jiwen Zhang.Two different forms of C-B-splines,Computer Aided Geometric Design,1997,14 (1):31 -41.
  • 7Mazure,M.L.,Chebyshev-Bernstein base,Computer Aided Geometric Design 1999,16(7):649-669.
  • 8Qinyu Chen,Guozhao Wang,A class of Bézier-like curves,Computer Aided Geometric Design 2003,20 (1):29-39.
  • 9E.Mainar,J.M.Pefia,A basis of C-Bézier splines with optimal properties,Computer Aided Geometric Design 2002,19(4):291-295.
  • 10吕勇刚,汪国昭,杨勋年.均匀三角多项式B样条曲线[J].中国科学(E辑),2002,32(2):281-288. 被引量:42

引证文献3

二级引证文献11

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部