| 基于曲率调节的二次T-B样条插值曲线 |
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| 引用本文： | 陶玉琴,陈素根.基于曲率调节的二次T-B样条插值曲线[J].安庆师范学院学报(自然科学版),2008,14(4). |
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| 作者姓名： | 陶玉琴 陈素根 |
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| 作者单位： | 马鞍山师范高等专科学校,安徽马鞍山,243000;安庆师范学院数学与计算科学学院,安徽安庆,246133 |
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| 摘 要： | 在给出二次T-B样条插值曲线的构造方法的基础上,给定某段曲线的起点的相对曲率及其切矢量的方向角,利用二次T-B样条曲线的端点性质,可求出其余各段曲线的控制顶点,从而生成整条插值曲线。还可以通过修改起点的相对曲率或切矢量的方向角对曲线进行调节,实例表明该方法有效。
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| 关 键 词： | T-B样条曲线 插值 相对曲率 曲线调节 |
Quadratic T-B Spline Interpolation Curve Based on Adjusted Curvature |
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| TAO Yu-qin,CHEN Su-gen.Quadratic T-B Spline Interpolation Curve Based on Adjusted Curvature[J].Journal of Anqing Teachers College(Natural Science Edition),2008,14(4). |
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| Authors: | TAO Yu-qin CHEN Su-gen |
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| Institution: | TAO Yu-qin1,CHEN Su-gen2 (1.Ma'anshan Teacher's school,Ma'anshan,243000,2.Department of Mathematics,Anqing Teachers College,Anqing 246133,China) |
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| Abstract: | A method to construct a quadratic T-B spline curve through data points is given.If the relative curvature of a certain curve on the first control point and the direction angle of the initial point's tangent vector is given,we can get the whole curve by using the property of the endpoint of quadratic T-B spline curve.The curve can be adjusted through the relative curvature or the direction angle of the initial point's tangent vector,in which some examples show that the method is useful for curve design. |
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| Keywords: | T-B spline curve Interpolation Relative curvature Curve adjust |
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