| 基于元胞自动机的曲线曲面迭代逼近算法 |
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| 引用本文： | 毛宽民,陈吉红,唐小琦,师汉民.基于元胞自动机的曲线曲面迭代逼近算法[J].华中科技大学学报(自然科学版),2001,29(4):38-39,43. |
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| 作者姓名： | 毛宽民 陈吉红 唐小琦 师汉民 |
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| 作者单位： | 华中科技大学机械科学与工程学院 |
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| 基金项目： | 国家高技术研究发展计划资助项目!(86 3 5 11 82 0 0 0 4) |
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| 摘 要： | 由数学理论知，曲线或曲面上一点的性质完全由该点某一领域的性质决定，结合元胞自动机的理论，设计了一种曲线及曲面的迭代逼近方法，以实测的离散坐标值作为初始构形，对每个点及其邻近的某些点，设计一种最佳逼近方法，通过失代求出不同时刻的构形，来获得最佳逼近曲线或曲面，该法可以一定程度地滤掉测量误差，迭代计算节省内存空间，速度快，迭代计算结果可满足工程需要。
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| 关 键 词： | 元胞自动机 曲线 曲面 迭代逼近 |
| 文章编号： | 1000-8616(2001)04-0038-02 |
The Method of Iteration Approximation of the Curve and Curved Surface Based on the Cellular Automata |
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| Mao Kuanmin,Chen Jihong,Tang Xiaoqi,Shi Hanmin.The Method of Iteration Approximation of the Curve and Curved Surface Based on the Cellular Automata[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2001,29(4):38-39,43. |
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| Authors: | Mao Kuanmin Chen Jihong Tang Xiaoqi Shi Hanmin |
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| Abstract: | The paper provides the method of iteration approximation of the curve and curved surface based on the cellular automata. The method, by constructing original configuration using measure data, designs the best approximation way for every point and adjacent of the point, calculates the later configuration through iteration which can ensure the acquired curve and curve surface to be the best approximation curve and curved surface. The method can also filter the measuring error to some degree and save the memory space. The data can be computed quickly by using this method and it can satisfy the need of engineering. |
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| Keywords: | cellular automata curve curved surface iteration approximation |
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