Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (4): 30-32.

• 博士论坛 • Previous Articles     Next Articles

Sine B-spline class curves and its application in curves parametrization

LIANG Xi-kun   

  1. College of Information Science and Engineering,Hangzhou Normal University,Hangzhou 310018,China
  • Received:2007-09-10 Revised:2007-11-15 Online:2008-02-01 Published:2008-02-01
  • Contact: LIANG Xi-kun

正弦B样条类曲线及其在曲线参数化中的应用

梁锡坤   

  1. 杭州师范大学 信息科学与工程学院,杭州 310018
  • 通讯作者: 梁锡坤

Abstract: 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.

Key words: sine transformation, SBSC curves, B-spline curve, reparametrization

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。

关键词: 正弦变换, SBSC曲线, B样条曲线, 重新参数化