Theoretical Analysis of the Iterative Photogrammetric Method to Determining Ground Coordinates from Photo Coordinates and a DEM
Theoretical Analysis of the Iterative Photogrammetric Method to Determining Ground Coordinates from Photo Coordinates and a DEM
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DOI：
10.14358/pers.71.7.863
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发表时间：
2005-07
影响因子：
1.3
通讯作者：
Y. Sheng
中科院分区：
文献类型：
--
作者：
Y. Sheng
需要从单个航空影像和数字高程模型（DEM）确定地面坐标。在摄影测量中广泛使用的方法是基于共线反方程迭代计算坐标。当地形复杂时，迭代摄影测量方法可能发散。然而，目前对这种方法缺乏理论分析。本文从理论上分析了该方法的收敛条件和收敛速度，并利用一个包含多种坡度条件的模拟曲面对理论进行了验证。在该方法中，由地形表面和垂直视平面所包围的视线仰角θ和剖面倾角α起着关键作用。收敛的充分必要条件是a < 6。收敛速度被量化为α，δ，收敛阈值AT和初始仰角估计的偏移Δ Z0的函数。
It is necessary to determine ground coordinates from a single aerial image and a digital elevation model (DEM). A widely used method in photogrammetry is to iteratively calculate the coordinates based on the inverse collinearity equations. The iterative photogrammetric method may be divergent when the terrain surface becomes complicated. However, there is a lack of theoretical analysis of this method. This paper theoretically analyzes the convergence condition and the convergence speed of the method, and validates the theory using a simulated surface containing various slope conditions. The elevation angle θ of the view ray and the inclination angle a of the profile, intersected by the terrain surface and the vertical view plane, play a critical role in the method. The necessary and sufficient condition for convergence is a < 6. The convergence speed is quantified as a function of a, 6, the convergence threshold AT and the offset ΔZ 0 of initial elevation estimate.