| 利用L曲线法求解块体相对于欧亚板块旋转的欧拉矢量 |
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| 引用本文： | 胡亚轩,王庆良,郝明.利用L曲线法求解块体相对于欧亚板块旋转的欧拉矢量[J].测绘科学,2011,36(6):37-38,12. |
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| 作者姓名： | 胡亚轩 王庆良 郝明 |
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| 作者单位： | 中国地震局第二监测中心,西安,710054 |
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| 基金项目： | 国家自然科学基金(40974062);地震行业科研专项(200908029) |
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| 摘 要： | 为了解决采用GPS观测数据求解块体欧拉矢量过程中可能出现的矩阵病态问题,本文介绍应用L曲线法求解块体旋转的欧拉矢量,并对计算结果进行了误差估计；最后通过实例解算,表明该方法求解结果精度高,得到点位的水平运动速度残差南北向85％,东西向79％以上在1mm以内,GPS观测速度与理论速度残差可用来分析块体内部的变形特征.
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| 关 键 词： | 欧拉矢量 误差 L曲线法 岭参数 |
The application of L-curve in Euler parameter estimation |
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| HU Ya-xuan,WANG Qing-liang,HAO Ming.The application of L-curve in Euler parameter estimation[J].Science of Surveying and Mapping,2011,36(6):37-38,12. |
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| Authors: | HU Ya-xuan WANG Qing-liang HAO Ming |
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| Institution: | (Second Crust Monitoring and Application Center,CEA,Xi’an 710054,China) |
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| Abstract: | With the development of space geodesy,more and more observations can be used to inverse the Euler vector of the plate.However,ill-condition problem may be found in the vectors estimation which relates to rotation of Eurasia plate.In order to solve the problem,the paper introduced L-curve method and estimated the errors of the results.The experiment showed that the precision of plate Euler parameter estimated by L-curve method was very high.The residual velocity could be used to analyze the internal deformation characteristics of the block. |
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| Keywords: | Euler vector error L-curve ridge parameter |
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