| 基于Levenberg-Marquarat算法的非线性三维直角坐标转换方法 |
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| 引用本文： | 闻洪峰,和会.基于Levenberg-Marquarat算法的非线性三维直角坐标转换方法[J].大地测量与地球动力学,2016,36(8):737-740. |
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| 作者姓名： | 闻洪峰 和会 |
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| 摘 要： | 提出一种基于Levenberg-Marquarat算法的非线性三维直角坐标转换方法,在法矩阵病态或者奇异时依然有效，并通过修正旋转角参数的方法，有效解决了平移量与旋转角量纲不同造成的迭代发散问题。设计出简洁有效的迭代求解模式,获得了稳定的参数解。最后通过模拟数据对比分析,证明该方法的有效性和正确性。
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| 关 键 词： | Levenberg-Marquarat算法 坐标转换 七参数 病态 奇异 |
A Nonlinear 3D Rectangular Coordinate Transformation Method Based on Levenberg-Marquarat Algorithm |
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| WEN Hongfeng,HE Hui.A Nonlinear 3D Rectangular Coordinate Transformation Method Based on Levenberg-Marquarat Algorithm[J].Journal of Geodesy and Geodynamics,2016,36(8):737-740. |
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| Authors: | WEN Hongfeng HE Hui |
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| Abstract: | A nonlinear 3D rectangular coordinate transformation method based on the Levenberg-Marquarat algorithm,which is effective when normal equation is ill-conditioned or singular,is proposed. The problem of divergencein the process of iteration,which arises due to different dimensions between translation amount and rotation angle,is effectively resolved.A neat and effective model of iterative solving is designed and a stable parametric solution is achieved.Finally, the effectiveness and correctness of the method is proven by comparative analysis of simulated data. |
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| Keywords: | Levenberg-Marquarat algorithm coordinate transformation seven-parameter ill-conditional singular |
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