| 关于通过两个三重点曲率严格单调曲线的计算 |
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| 引用本文： | 范红兵.关于通过两个三重点曲率严格单调曲线的计算[J].山东大学学报(理学版),1991(2). |
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| 作者姓名： | 范红兵 |
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| 作者单位： | 山东大学数学系 |
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| 摘 要： | 讨论了通过两个三重点的曲率严格单调的 C~2—类曲线的计算问题;证明了用圆的渐开线拼接的可行性;给出了用四段圆的渐开线拼接曲率严格单调的 C~2—类曲线并通过给定三重点的算法。同时,还给出了一种计算通过两个三重点曲率近似单调的曲线方法。
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| 关 键 词： | 三重点 曲率 渐屈线 渐开线 |
ON THE CALCULATION OF THE CURVE WITH MONOTONE CURVATURE AND PASSING TWO TRIPLE PONITS |
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| Fan Hongbing.ON THE CALCULATION OF THE CURVE WITH MONOTONE CURVATURE AND PASSING TWO TRIPLE PONITS[J].Journal of Shandong University,1991(2). |
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| Authors: | Fan Hongbing |
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| Abstract: | In this paper,we discuss the problem of calculation of curves withmonotone curture and passing two triple points and prove that it is feasibleto build up a monotone curvature curve by several pieces of involute ofcircle and give a algorithm at the same time.We secondly obtain a methodto calculate a curve passing two given triple points with nearly monotonecurvature. |
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| Keywords: | triple point curvature evolute involute of circle |
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