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| 三维坐标转换的两种方法及其比较研究 | |
| 引用本文： | 张卡,张道俊,盛业华,王培芳,庞佑涛.三维坐标转换的两种方法及其比较研究[J].数学的实践与认识,2008,38(23). |
| 作者姓名： | 张卡 张道俊 盛业华 王培芳 庞佑涛 |
| 作者单位： | 1. 南京师范大学,虚拟地理环境教育部重点实验室,江苏,南京,210046 2. 五河县刘集中学,安徽,五河,233300 3. 中铁大桥局集团第四工程有限公司,江苏,南京,210031 |
| 基金项目： | 教育部高等学校博士学科点专项科研基金 ， 江苏省高校自然科学重大基础研究项目 |
| 摘 要： | 针对7参数法三维坐标转换问题,对比分析了传统的基于泰勒级数展开的线性模型转换方法和基于罗德里格矩阵的三维坐标转换方法.由于在基于罗德里格矩阵的转换方法中,不需进行三角函数的计算,也不需迭代计算,因而其计算速度更快;而且其解决了线性模型对旋转角大小的限制,不仅适用于小角度的空间直角坐标转换,也能用于大角度的空间坐标转换.实验结果也表明基于罗德里格矩阵的转换方法具有更好的适用性和更高的精度. |
| 关 键 词： | 三维坐标转换 泰勒级数 罗德里格矩阵 转换参数 旋转矩阵 |
Research on Two Methods of Three Dimensional Coordinate Transformation and Their Comparision |
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| ZHANG Ka,ZHANG Dao-jun,SHENG Ye-hua,WANG Pei-fang,PANG Yon-tao.Research on Two Methods of Three Dimensional Coordinate Transformation and Their Comparision[J].Mathematics in Practice and Theory,2008,38(23). | |
| Authors: | ZHANG Ka ZHANG Dao-jun SHENG Ye-hua WANG Pei-fang PANG Yon-tao |
| Institution: | 1.Key Laboratory of Virtual Geographic Environment;MOE;Nanjing Normal University;Nanjing Jiangsu 210046;China;2.Liuji Secondary School of Wuhe County;Wuh;e Anhui 233300;China;3.China Zhongtie Major Bridge Engineering Group the 4th CO.LTD;Nanjing Jiangsu 210031;China |
| Abstract: | For the problem of three dimensional coordinate transformation with seven parameters,two methods,traditional linear model transformation method based on Taylor series expansion and coordinate transformation method based on Roderick matrix,are compared in this paper.In the method based on Roderick matrix,neither trigonometric functions nor iterative process need be carried out.Thus the calculation speed of Roderick matrix method is much faster than that of the traditional method.Furthermore,it resolves the l... |
| Keywords: | three dimensional coordinate transformation taylor series roderick matrix transformation parameters rotation matrix |
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