| 空间三次曲线的最佳双圆弧逼近和误差估计 |
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| 引用本文： | 陈建兰,李素兰.空间三次曲线的最佳双圆弧逼近和误差估计[J].浙江工业大学学报,2002,30(4):402-405. |
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| 作者姓名： | 陈建兰 李素兰 |
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| 作者单位： | 1. 杭州电子工业学院文理分院,浙江杭州,310037
2. 浙江工业大学理学院,浙江杭州,310032 |
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| 摘 要： | 三次曲线的双圆弧逼近在船体数学放样中有十分重要的地位。利用局部的旋转坐标系，给出了过空间两点，两切线的三次曲线方程，采用相邻圆民在平面的夹角最小与相邻圆弧的曲率半径尽可能接近的方法得到最佳的双圆弧，并用法（向误差函数估计了三次曲线与最佳双圆弧间的误差。
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| 关 键 词： | 最佳双圆弧逼近 误差估计 空间三次曲线 船体 数学放样 船舶设计 计算机图形学 计算机辅助设计 |
| 文章编号： | 1006-4303(2002)04-0402-04 |
| 修稿时间： | 2001年10月24 |
Approximation of space cubic curve with optimal bi-arc spline and estimation of the error |
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| CHEN Jian\|lan\,LI Su\|lan\.Approximation of space cubic curve with optimal bi-arc spline and estimation of the error[J].Journal of Zhejiang University of Technology,2002,30(4):402-405. |
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| Authors: | CHEN Jian\|lan\ LI Su\|lan\ |
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| Affiliation: | CHEN Jian\|lan\+1,LI Su\|lan\+2 |
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| Abstract: | The approximation of space cubic curve with bi-arc spline played an important role in mathematics ship-lofting. The rotation of local coordinate system was used. A space cubic curve equation was given tluough two points and two tangents. The minimum angle of intersection and the minimum radius deviation of curvature about consecutive circular arc were solved .An optimal bi\|arc spline was obtained. The error was estimated between space cubic curve and optimal bi\|arc spline using normal error function. |
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| Keywords: | space cubic curve bi\|arc spline approximation error |
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