Three kinds of adjusted trigonometric spline curves

doi:10.3778/j.issn.1002-8331.2010.21.055

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (21): 191-194.DOI: 10.3778/j.issn.1002-8331.2010.21.055

• 图形、图像、模式识别 • Previous Articles Next Articles

Three kinds of adjusted trigonometric spline curves

YAN Lan-lan¹，LIANG Jiong-feng²

1.College of Mathematics and Information Science，East China Institute of Technology，Fuzhou，Jiangxi 344000，China
2.College of Civil and Environmental Engineering，East China Institute of Technology，Fuzhou，Jiangxi 344000，China

Received:2008-12-30 Revised:2009-03-27 Online:2010-07-21 Published:2010-07-21
Contact: YAN Lan-lan1

三种形状可调三角样条曲线

严兰兰¹，梁炯丰²

1.东华理工大学数学与信息科学学院，江西抚州 344000
2.东华理工大学土木与环境工程学院，江西抚州 344000

通讯作者: 严兰兰

Abstract

Abstract: Three kinds of trigonometric spline bases are constructed.Based on these bases，three kinds of trigonometric spline curves are defined.As each piece of these trigonometric spline curves is generated by three consecutive control points，these curves retain many properties of the quadratic B-spline curve，but they can achieve higher order continuity than the quadratic B-spline curve.For equidistant knots，these curves are C² continuous，and they are C³ continuous under special conditions.Besides，these curves are closer to the control polygon than the quadratic B-spline curve.

Key words: computer application, trigonometric basis, spline curve, shape parameter

摘要： 构造了3种带参数的三角样条基，基于这3组基定义了3种三角样条曲线。与二次B样条曲线类似，这3种曲线的每一段都由相继的3个控制顶点生成，且这3种曲线具有许多与二次B样条曲线类似的性质。但这3种曲线的连续性都比二次B样条曲线要好。对于等距节点，在一般情况下，这3种曲线都是整体C²连续的，在特殊条件下它们都可以达到C³连续。另外，这3种曲线都具有比二次B样条曲线更好的对控制多边形的逼近性。

关键词: 计算机应用, 三角基, 样条曲线, 形状参数

CLC Number:

TP391

YAN Lan-lan¹，LIANG Jiong-feng². Three kinds of adjusted trigonometric spline curves[J]. Computer Engineering and Applications, 2010, 46(21): 191-194.

严兰兰¹，梁炯丰². 三种形状可调三角样条曲线[J]. 计算机工程与应用, 2010, 46(21): 191-194.

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Three kinds of adjusted trigonometric spline curves

三种形状可调三角样条曲线

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