| 基于非线性最小二乘的坐标转换及精度分析 |
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| 引用本文： | 尹慧芳,党亚民,郑作亚. 基于非线性最小二乘的坐标转换及精度分析[J]. 全球定位系统, 2011, 36(3): 29-32 |
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| 作者姓名： | 尹慧芳 党亚民 郑作亚 |
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| 作者单位： | 中国测绘科学研究院大地测量与地球动力学研究所,北京,100830 |
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| 基金项目： | 国家自然科学基金项目(40904001); 国家测绘局重点实验室资助项目(B2531,200604,B2806); 国家863计划资助项目(2007AA12Z346) |
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| 摘 要： | 在GPS应用中经常涉及到坐标系转换的问题。利用七参数线性模型进行坐标转换是目前常用的坐标转换方法，但是当旋转角较大时，利用七参数线性模型转换会存在较大的模型误差。本文提出七参数模型的非线性最小二乘求解方法，结合模拟坐标数据比较了非线性最小二乘与传统迭代法的求解精度。结果表明：在旋转角较大的情况下，利用非线性最小二乘方法求解坐标转换参数精度比迭代法有明显提高。
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| 关 键 词： | GPS 坐标转换 迭代法 非线性最小二乘 |
Nonlinear Least Squares Method for Coordinate Transformation and Accuracy Analysis |
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| YIN Hui-fang,,DANG Ya-min,ZHENG Zuo-ya. Nonlinear Least Squares Method for Coordinate Transformation and Accuracy Analysis[J]. Gnss World of China, 2011, 36(3): 29-32 |
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| Authors: | YIN Hui-fang DANG Ya-min ZHENG Zuo-ya |
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| Affiliation: | YIN Hui-fang1,2,DANG Ya-min1,ZHENG Zuo-ya1,3(1.Institute of Geodesy and Geodynamics,Chinese Academy of Surveying and Mapping,Beijing 100830,China,2.Geomatics College,Shandong University of Science and Technology,Qingdao Shandong 266510,3.Key Laboratory of Surveying and Mapping Technology on Island and Reef of SBSM,China) |
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| Abstract: | Coordinate transformation is often involved in GPS applications.Seven parameters linear model is the most common method to carry out coordinate transformation,but when the rotation angle is large,there will be a large model error.Nonlinear least squares method is proposed in this paper.Combining analog coordinate data analysis,the accuracy of nonlinear least squares method and iterative method is compared.Results show that In the case of large rotation angle,nonlinear least squares method can obtain more ac... |
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| Keywords: | GPS coordinate transformation iterative method nonlinear least squares method |
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