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两步解法用于求解线阵CCD影像外方位元素
引用本文:龚辉,姜挺,江刚武,杨靖宇,纪松.两步解法用于求解线阵CCD影像外方位元素[J].测绘科学,2009,34(2).
作者姓名:龚辉  姜挺  江刚武  杨靖宇  纪松
作者单位:信息工程大学测绘学院,郑州,450052
基金项目:国家自然科学基金,信息工程大学测绘学院硕士学位论文创新创优基金 
摘    要:在线阵CCD影像外方位元素的求解过程中,外方位元素之间的相关性,导致法方程病态,最小二乘估计值误差较大。本文在分析以往解决方法的基础上,提出采用两步解法求解线阵CCD影像的外方位元素。该算法的实质是选择一个比单位矩阵更合适的正则化矩阵。试验结果表明该算法能有效地克服线阵CCD影像外方位元素间的相关性,定位精度较高,定向点精度在1个像素内,检查点精度在1.5个像素内。

关 键 词:两步解法  病态问题  外方位元素  线阵CCD影像  LS估计

Computing the exterior orientation elements of array-scanned image by using two-step solution
GONG Hui,JIANG Ting,JIANG Gang-wu,YANG Jing-yu,JI Song.Computing the exterior orientation elements of array-scanned image by using two-step solution[J].Science of Surveying and Mapping,2009,34(2).
Authors:GONG Hui  JIANG Ting  JIANG Gang-wu  YANG Jing-yu  JI Song
Abstract:In computing the exterior orientation elements of array-scanned image, because of the interrelationshi Pof exterior orientation elements, the normal equation is ill-conditioned and the error of least-square estimation is very large. This paper first analyses the previous methods for solving the problem, then puts forward a new method that using two-step solution to compute the exterior orientation elements of array-scanned image. The essential of this new algorithm is to choose a more appropriate regularization matrix than unit matrix. The result of experiment indicates that the arithmetic can effectively overcome the interrelationship among exterior orientation elements and achieve a higher accuracy. The positioning precision can be within one pixel for orientation points and within one and a half pixels for check points.
Keywords:two-step solution  ill-posed problems  exterior orientation elements  array-scanned image  least-square estimate
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