基于Lodrigues Matrix空间后方交会的三维测量方法研究  

A New 3D Measured Method Based on Lodrigues Matrix Space Resection

作　　者：张春波[1] 宋丽梅[1] 安宏伟[1] 董虓霄[1] 杨朝奎[1] 

机构地区：[1]天津工业大学电气工程与自动化学院,天津300387

出　　处：《光电子技术》2011年第3期183-187,共5页Optoelectronic Technology

基　　金：国家自然科学基金资助项目(60808020;61078041);天津市应用基础及前沿技术研究计划(10JCYBJC07200)

摘　　要：相机的标定包括相机的外参数和内参数,通过一定数量的控制点,标定出相机内外参数的过程又称空间后方交会。通过简单易理解的方法推导了共线方程,并引入罗德里格矩阵(Lodrigues Matrix)为旋转阵;通过尼康D70s相机、十字靶标、标尺、摩托车车架以及三点编码标记点为实验条件,以理想相机为前提运用解析法详细解算了相机外参数;最后通过介绍的空间后方交会的方法,相同环境下的一系列连续图片,逆推导出同一十字靶、标尺以及其他编码标记点中心圆心的物方坐标值,并输出了三维点云,与AICON软件的三维坐标作对比,验证了空间后方交会的方法的正确性。Camera calibration in photogrammetric parlances refers to the determination of the parameters of interior orientation and exterior orientation, process of which is based on a number of control points called the space resection. The collinearity equation is derived by a simple and intelligible method while the lodrigues matrix is introduced. Nikon D70s camera, precise cross target panel and the ruler are used in the experiment. Exterior orientation is introduced using analytical method in details in the condition of ideal camera. Finally, basing on the space resec- tion, with a series of images in the same environment, the 3D coordinate of cross target panel, the ruler and other coded flags are inverse derived. Comparing with the output of AICON, the space resection is verified correct.

关 键 词：共线方程 外参数 最小二乘平差法 空间后方交会 罗德里格旋转矩阵 

分 类 号：P23[天文地球—摄影测量与遥感]