测绘学报 ›› 2016, Vol. 45 ›› Issue (4): 442-449.doi: 10.11947/j.AGCS.2016.20150354

• 摄影测量学与遥感 • 上一篇    下一篇

总体最小二乘用于线阵卫星遥感影像光束法平差解算

余岸竹1,3, 姜挺1, 郭文月1, 秦进春2,3, 江刚武1   

  1. 1. 信息工程大学地理空间信息学院, 河南郑州 450052;
    2. 西安测绘研究所, 陕西西安 710054;
    3. 地理信息工程国家重点实验室, 陕西西安 710054
  • 收稿日期:2015-07-06 修回日期:2015-10-15 出版日期:2016-04-20 发布日期:2016-04-28
  • 作者简介:余岸竹(1989-),男,博士生,研究方向为航空航天高精度目标定位理论与方法。
  • 基金资助:
    国家自然科学基金(41471387;41201477;41301526;41501506);地理信息工程国家重点实验室开放研究基金(SKLGIE2015-M-3-1;SKLGIE2015-M-3-2)

Bundle Adjustment for Satellite Linear Array Images Based on Total Least Squares

YU Anzhu1,3, JIANG Ting1, GUO Wenyue1, QIN Jinchun2,3, JIANG Gangwu1   

  1. 1. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450052, China;
    2. Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China;
    3. State Key Laboratory of Geo-information Engineering, Xi'an 710054, ChinaAbstract
  • Received:2015-07-06 Revised:2015-10-15 Online:2016-04-20 Published:2016-04-28
  • Supported by:
    The National Natural Science Foundation of China(Nos.41471387;41201477;41301526;41501506);The Open Research Foundation of State Key Laboratory of Geo-information Engineering(Nos.SKLGIE2015-M-3-1;SKLGIE2015-M-3-2)

摘要: 顾及像点观测方程的系数矩阵中存在随机误差,提出了基于总体最小二乘的线阵卫星遥感影像光束法平差模型。在假定像点观测误差和系数矩阵误差均为独立、等精度分布的基础上,利用拉格朗日条件极值法推导了包含外方位元素虚拟观测方程和控制点误差方程的总体最小二乘光束法平差算法的具体公式和计算方法。该方法利用方差分量估计确定各类虚拟观测值的方差,可求解包含多类虚拟观测量的平差问题,并可用先验信息或岭迹法确定系数矩阵观测值的权比例系数,从而克服了现有总体最小二乘虚拟观测方法不能处理多类虚拟观测值的不足,确保了光束法平差可正确有效求解。分别利用模拟算例与两组真实影像进行了试验验证。结果表明,相比于常规最小二乘虚拟观测法以及现有总体最小二乘虚拟观测方法,本文方法具有更高的求解精度与适应性。相较于传统线阵卫星遥感影像光束法平差方法,本文方法可以获得更高的平差计算精度。

关键词: 线阵遥感影像, 虚拟观测方程, 总体最小二乘, 光束法平差, 岭迹法

Abstract: Since the coefficient matrix of image point observation equations may contain random error, it is proposed that a bundle adjustment method for satellite linear array CCD imagery based on total least squares. Assuming that both point observation random error and the coefficient matrix random error are independent and identically distributed, a total least squares based bundle adjustment algorithm, which contains both virtual observation equations of exterior elements and error equations of ground control points, has been deduced using Lagrange conditional extremum. The variance of any type of virtual observation equation can be estimated using variance component estimation. Thus the proposed method can handle with adjustment problems with more than one type of virtual observation equation and chose the undetermined coefficient in proposed method using priori information or the ridge mark method, which overcomes the deficiency of existing virtual observation total least squares method and ensures that the adjustment problems can be solved correctly and effectively. Experiments have been taken on both simulative data and real satellite linear array images in two areas. Results indicate that the proposed method can get more accurate solutions than traditional least squares algorithm and recently proposed virtual observation total least squares method. The proposed method can also get more accurate bundle adjustment results when compared to conventional method.

Key words: linear array images, virtual observation equation, total least squares, bundle adjustment, ridge mark method

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