| 点到参数曲面的最小距离的研究 |
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| 引用本文： | 刘桂英. 点到参数曲面的最小距离的研究[J]. 机电工程, 2012, 29(4): 474-476,481 |
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| 作者姓名： | 刘桂英 |
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| 作者单位： | 广西师范学院物理与电子工程学院,广西南宁,530023 |
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| 基金项目： | 广西自然科学基金资助项目（桂科自0991103）; 广西教育厅科研资助项目（201010LX283）; 广西科学研究与技术开发计划资助项目（桂科攻10100002-8） |
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| 摘 要： | 针对求最小距离常用的搜索算法,其稳定性和有效性通常不高的问题,研究了如何求点到参数曲面的最小距离。采用了基于参数曲面的几何特性,将求最小值问题转化为方程组求解问题,应用计算复杂度较低的离散牛顿法,并且将其迭代区间进行了细分,并在各个细分区间中应用离散牛顿迭代算法,增强了算法的稳定性。研究结果表明,离散牛顿法有较好的稳定性和有效性。
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| 关 键 词： | 参数曲面 最小距离 离散牛顿法 |
Research on minimum distance from a point to a parametric surface |
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| LIU Gui-ying. Research on minimum distance from a point to a parametric surface[J]. Mechanical & Electrical Engineering Magazine, 2012, 29(4): 474-476,481 |
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| Authors: | LIU Gui-ying |
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| Affiliation: | LIU Gui-ying(College of Physics and Electronic Engineering,Guangxi Teachers Education University, Nanning 530023,China) |
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| Abstract: | In order to solve the problems of the poor stability and the low efficiency of the searching algorithm,it was studied that how to compute the minimum distance from a point to a parametric surface.Based on the geometric characteristics of the parametric surface,a method was presented to find the minimum distance by finding roots of an equation group.Discrete Newton method was adopted to solve the equation.The experimental results show that discrete Newton method is stable and efficient. |
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| Keywords: | parametric surface minimum distance discrete Newton method |
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