外方位元素解算的抗差总体最小二乘算法Solution for exterior orientation elements based on robust TLS estimation
陶叶青,杨娟,周晓钟,蔡安宁
摘要(Abstract)：
针对非线性共线方程作为一种高斯-赫尔墨特模型,应用传统最小二乘算法求解外方位元素无法顾及模型系数矩阵中含有随机误差的问题,该文提出应用总体最小二乘准则求解外方位元素的方法。通过算例验证算法的可行性,结果表明应用建立的算法求解外方位元素,参数估值的精度优于传统最小二乘算法。在对非线性共线方程进行线性化的基础上,为减小观测值中含有的粗差对外方位元素求解的影响,结合抗差估计,建立外方位元素解算的迭代算法。
关键词(KeyWords)： 外方位元素;总体最小二乘;抗差估计;最小二乘
基金项目(Foundation): 国家自然科学基金项目(41601501);; 江苏省社会科学基金项目(17EYB006);; 江苏省高校自然科学基金项目(16KJD420001);; 江苏省住房和城乡建设厅科技计划项目(2017ZD259)
作者(Author): 陶叶青,杨娟,周晓钟,蔡安宁
DOI: 10.16251/j.cnki.1009-2307.2018.11.006
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