期刊文献+

正弦B样条类曲线及其在曲线参数化中的应用

Sine B-spline class curves and its application in curves parametrization
下载PDF
导出
摘要 从B样条基函数出发,导出了正弦B样条类SBSC(Sine Basic Spline Class)函数,定义了SBSC曲线,讨论了SBSC曲线和B样条曲线的关系,提供了B样条曲线重新参数化的一种有效方法。 This paper presents a solution to the problem of the reparametrization of B-spline curves by the sine transformation of B-spline basis.Based on the B-spline basis,Sine Basic Spline Class(SBSC) functions are obtained.The theory of SBSC curves is discussed.The relation between B-spline curves and SBSC curves is researched.The result can be used to reparameterize B-spline curves so as to solve some applied problems.
作者 梁锡坤
出处 《计算机工程与应用》 CSCD 北大核心 2008年第4期30-32,共3页 Computer Engineering and Applications
基金 浙江省教育厅资助科研课题(the Research Project of Department of Education of Zhejiang Province China under Grant No.20050718)
关键词 正弦变换 SBSC曲线 B样条曲线 重新参数化 sine transformation SBSC curves B-spline curve reparametrization
  • 相关文献

参考文献8

二级参考文献12

  • 1施法中.权因子、参数变换与有理二次Bezier曲线参数化[J].航空学报,1994,15(9):1151-1154. 被引量:8
  • 2施法中.反求标准型有理二次Bezier曲线的参数与内权因子[J].计算机辅助设计与图形学学报,1995,7(2):91-95. 被引量:18
  • 3Les Piegl, Wayne Tiller. The NURBS Book. New York:Springer, 1995. 5~34
  • 4Gerald Farin. Curves and Surfaces for Computer Aided Geometric Design. New York: Academic Press, 1988. 33~58
  • 5P Bézier. The Mathematical Basis of the UNISURF CAD System.London: Butterworths, 1986. 11~72
  • 6W Tiller. Rational B-spline for curves and surfaces representation.IEEE CG&A, 1983, 9(4): 61~69
  • 7Farin G. Curvature continuity and offsets for piecewise conics. ACM Trans on graphics, 1989, 8(2): 112~ 121
  • 8施法中.计算机辅助几何设计与非均匀有理B样条.北京:高等教育出版社,2001.115-163(Shi Fazhong. Computer Aided Geometric Design and Non Uniform Rational Basic Spline (in Chinese). Beijing: Higher Educational Press, 2001. 115- 163)
  • 9朱心雄.自由曲线曲面造型技术.北京:科学出版社,2000.66-87(Zhu Xinxiong. Modeling Technology of Free Formed Curves and Surfaces(in Chinese). Beijing: Science Press, 2000. 66-87)
  • 10韩西安,叶正麟,张贵仓.空间有理三次Bezier曲线参数化方法研究[J].计算机工程与设计,1997,18(1):53-57. 被引量:3

共引文献63

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