Transformation Method of Exterior Orientation Angular Elements Obtained via Position and Orientation System Under Gauss-Kruger Projection Coordinate System  

作　　者：YUAN Xiuxiao ZHANG Xueping FU Jianhong 

机构地区：[1]School of Remote Sensing and Information Engineering, Wuhan University, 129 luoyu Road, Wuhan 430079, China

出　　处：《Geo-Spatial Information Science》2010年第3期157-165,共9页地球空间信息科学学报（英文）

基　　金：Supported by the National Natural Science Foundation of China (No. 40771176, No. 40721001);supported by the Institute of Remote Sensing Applications in Chinese Academy of Sciences, Zhongfei General Aviation Company, Liaoning Jingwei Surveying & Mapping Technology INC, Siwei Aviation Remote Sensing Co. Ltd., and others

摘　　要：Data obtained via airborne position and orientation system （POS） is in WGS 84 global geocentric reference frame, while the national coordinate reference system for topographic mapping in China is generally Gauss-Kruger projection coordinate system. Therefore, data obtained via a POS must be transformed to national coordinate system. Owing to the effects of earth curvature and me- ridian deviation, there are some errors in the process of angle transformation from roll, pitch, and heading （φ,θ,ψ） obtained directly via a POS to the attitude angles of images （φ,ω,κ） needed in photogrammetry. On the basis of effect theories of earth curvature and meridian deviation on exterior orientation angular elements of images, a method using a compensation matrix to correct the transformation errors from attitude angles obtained via the POS to exterior orientation angular elements of images is proposed in this paper. Moreover, the rigorous formula of the compensation matrix is deduced. Two sets of actual data obtained via a POS AV 510, which are different in scale and terrain, are selected and used to perform experiments. The empirical results not only indicate that the compensation matrix proposed in this paper is correct and practical but also show that transformation accuracy of exterior orientation angular elements obtained via the POS based on compensation matrix is relevant to the selection of vertical axis （a projection of central meridian） of Gauss-Kruger projection coordinate system; the proper vertical axis should be the Gauss-Kruger projection of the central meridian of projection zone in which the survey area locates. However, the transformation accuracy of exterior orientation angular elements is irrelevant to the choice of origin of coordinate system; it is appropriate that the origin of coordinate system locates at the center point of the survey area. Moreover, transformation accuracy of exterior orientation angular elements achieved based on the compensa- tion matrix deduced in this paper is经由在空中的位置和取向系统(POS ) 获得的数据在 WGS 84 全球以地球为中心的引用框架，当为在中国的地志的印射的国家并列引用系统通常是 Gauss-Kruger 设计坐标系统时。因此，经由 POS 获得的数据必须被转变到国家坐标系统。由于地球弯曲和顶点偏差的效果，在从转动，沥青，和标题的角度转变的过程有一些错误(桅，螛，经由 POS 直接获得到图象的态度角度的唯)( 蠁，蠅，在摄影测量学需要的魏) 。根据外面的取向上的地球弯曲和顶点偏差的效果理论图象的尖元素，使用一个赔偿矩阵从态度角度改正转变错误的一个方法经由 POS 获得了到外面的取向图象的尖元素在这份报纸被建议。而且，赔偿矩阵的严密公式被推出。经由 POS AV 510 获得的实际数据的二个集合，在规模和地面不同，被选择并且过去常执行实验。实验结果不仅显示赔偿矩阵在这建议纸正确、实际而且证明尖元素基于赔偿矩阵经由 POS 获得了的外面的取向的那转变精确性与 Gauss-Kruger 设计的垂直的轴(中央顶点的设计)的选择相关坐标系统；合适的垂直的轴应该是调查区域在定位的设计地区的中央顶点的 Gauss-Kruger 设计。然而，外面的取向的转变精确性尖元素与坐标系统的起源的选择无关；坐标系统的起源在调查区域的中心点定位，是适当的。而且，尖元素基于在这份报纸推出的赔偿矩阵完成了的外面的取向的转变精确性比经由处理软件的存在 POS 获得了的高。

关 键 词：position and orientation system （POS） exterior orientation elements of image earth curvature meridian deviation compensation matrix 

分 类 号：P231.5[天文地球—摄影测量与遥感]