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

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

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

LIANG Xi-kun

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

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

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

LIANG Xi-kun. Sine B-spline class curves and its application in curves parametrization[J]. Computer Engineering and Applications, 2008, 44(4): 30-32.

梁锡坤. 正弦B样条类曲线及其在曲线参数化中的应用[J]. 计算机工程与应用, 2008, 44(4): 30-32.

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

正弦B样条类曲线及其在曲线参数化中的应用

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