| 参数曲线近似弧长参数化的三角函数方法 |
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| 引用本文： | 方逵,闵小平.参数曲线近似弧长参数化的三角函数方法[J].数学理论与应用,2002,22(3):79-83. |
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| 作者姓名： | 方逵 闵小平 |
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| 作者单位： | [1]长沙大学计算机科学与技术系，长沙410003 [2]长沙大学工程系，长沙410003 |
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| 摘 要： | 本描述了一种局部的近似弧长参数化插值方法，用三角函数对曲线的弧长函数进行分段逼近，段与段之间是相互独立的，且插值曲线在插值点处的弧长与原参数曲线的真实弧长相等。
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| 关 键 词： | 参数曲线 近似弧长参数化 三角函数 保单调插值 |
NEARLY ARC-LENGTH PARAMETERIZATION INTERPOLATION BASED ON THE TRIGONOMETRIC FUNCTION |
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| Fang,Kui.NEARLY ARC-LENGTH PARAMETERIZATION INTERPOLATION BASED ON THE TRIGONOMETRIC FUNCTION[J].Mathematical Theory and Applications,2002,22(3):79-83. |
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| Authors: | Fang Kui |
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| Abstract: | This paper presents an interpolation for nearly arc -length parameterization based on the trigonometric function. The arc -length function of parametric curve is monotonic increasing, the monotonity preserving approximating function based on trigonometric function for the arc-length function is derived. Theresulting nearly arc -length parametrization curve interpolates a set of points of original curve,and the arc-length of the curve is accurate at each of this set of points. |
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| Keywords: | CAD Arc-length parametrization Trigonometric function Monotonidty preserving interpolation |
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