三维摄影条件下视差角光束法平差模型的适用性研究  

Applicability Study on Parallax Bundle Adjustment in 3D-Photography

作　　者：左正康 晏磊 孙岩标[4] 赵红颖 张瑞华 孙嘉玉 刘思远 王强[6] 孙逸渊 ZUO Zhengkang;YAN Lei;SUN Yanbiao;ZHAO Hongying;ZHANG Ruihua;SUN Jiayu;LIU Siyuan;WANG Qiang;SUN Yiyuan(Guangxi Key Laboratory of Remote Measuring System,Guilin University of Aerospace Technology,Guilin 541004;Beijing Key Laboratory of Space Information Integration and 3S Application,Peking University,Beijing 100871;Dashi Intelligent Technology Co Ltd,Wuhan 430000;School of Precision Instrument and Opto-Electronics Engineering,Tianjin University,Tianjin 300072;Engineering Research Center of Earth Observation and Navigation,Peking University,Beijing 100871;School of Geographic and Environmental Sciences,Tianjin Normal University,Tianjin 300387)

机构地区：[1]广西高校无人机遥测重点实验室,桂林航天工业学院,桂林541004 [2]空间信息集成与3S工程应用北京市重点实验室,北京大学,北京100871 [3]大势智慧科技有限公司,武汉430000 [4]天津大学精密仪器与光电子工程学院,天津300072 [5]地球观测与导航教育部工程研究中心,北京大学,北京100871 [6]天津师范大学地理与环境科学学院,天津300387

出　　处：《北京大学学报（自然科学版）》2023年第3期445-455,共11页Acta Scientiarum Naturalium Universitatis Pekinensis

摘　　要：为了论证视差角光束法平差模型在短基线摄影条件下的适用性,将视差角光束法平差(PBA)模型中基于二维假设的数学证明扩展到三维,研究视差角参数对观测噪声的敏感性、法方程奇异性以及线性化程度,并基于2.11×10^(-8)~2.11×10^(-12)弧度的小交会角的短基线摄影条件进行仿真和真实实验。理论分析和实验结果表明,目前的PBA模型仅适用于二维摄影,不能解决三维摄影条件下短基线的平差问题。In order to study the applicability of the Parallax Bundle Adjustment(PBA)in the 3D-photography,the authors extend the mathematical proof of the PBA model which is based on the two-dimensional hypothesis,to three dimensions with respect to the sensitivity of parallax angle to observation noise,the singularity of the normal equation,and the degree of linearization.Furthermore,with a set of narrow intersection-angles(2.11×10^(-8) to 2.11×10^(-12) rads),the 3D-scenes in short-baseline photography are simulated,and employed to verify the proof.Theoretical analysis and experimental results demenstrate that the current version of PBA is only suitable for the 2D-photography,but not suitable to solve the short-baseline problem in the 3D-photography.

关 键 词：短基线 视差角光束法平差 三维摄影条件 数学证明 

分 类 号：P23[天文地球—摄影测量与遥感] P207.2[天文地球—测绘科学与技术]