| 三种形状可调三角样条曲线 |
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| 引用本文： | 严兰兰,梁炯车. 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. DOI: 10.3778/j.issn.1002-8331.2010.21.055 |
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| 作者姓名： | 严兰兰 梁炯车 |
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| 作者单位： | 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 |
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| 基金项目： | 东华理工大学校长基金资助项目 |
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| 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。
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| 关 键 词： | 计算机应用 三角基 样条曲线 形状参数 |
| 收稿时间： | 2008-12-30 |
| 修稿时间： | 2009-3-27 |
Three kinds of adjusted trigonometric spline curves |
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| YAN Lan-lan,LIANG Jiong-feng. Three kinds of adjusted trigonometric spline curves[J]. Computer Engineering and Applications, 2010, 46(21): 191-194. DOI: 10.3778/j.issn.1002-8331.2010.21.055 |
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| Authors: | YAN Lan-lan LIANG Jiong-feng |
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| Affiliation: | 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) |
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| 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. |
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| Keywords: | computer application trigonometric basis spline curve shape parameter |
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