Acta Scientiarum Naturalium Universitatis Pekinensis ›› 2023, Vol. 59 ›› Issue (3): 445-455.DOI: 10.13209/j.0479-8023.2023.033

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Applicability Study on Parallax Bundle Adjustment in 3D-Photography

ZUO Zhengkang1,2,3, YAN Lei1,2,†, SUN Yanbiao4, ZHAO Hongying5, ZHANG Ruihua5, SUN Jiayu5, LIU Siyuan5, WANG Qiang6, SUN Yiyuan5
  

  1. 1. Guangxi Key Laboratory of Remote Measuring System, Guilin University of Aerospace Technology, Guilin 541004 2. Beijing Key Laboratory of Space Information Integration and 3S Application, Peking University, Beijing 100871 3. Dashi Intelligent Technology Co Ltd, Wuhan 430000 4. School of Precision Instrument and Opto-Electronics Engineering, Tianjin University, Tianjin 300072 5. Engineering Research Center of Earth Observation and Navigation, Peking University, Beijing 100871 6. School of Geographic and Environmental Sciences, Tianjin Normal University, Tianjin 300387
  • Received:2022-01-20 Revised:2023-02-07 Online:2023-05-20 Published:2023-05-20
  • Contact: YAN Lei, E-mail: lyan(at)pku.edu.cn

三维摄影条件下视差角光束法平差模型的适用性研究

左正康1,2,3, 晏磊1,2,†, 孙岩标4, 赵红颖5, 张瑞华5, 孙嘉玉5, 刘思远5, 王强6, 孙逸渊5   

  1. 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
  • 通讯作者: 晏磊, E-mail: lyan(at)pku.edu.cn

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Abstract:

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.

Key words: short-baseline, parallax bundle adjustment (PBA), three-dimensional photography condition, mathematical proof

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。

关键词: 短基线, 视差角光束法平差, 三维摄影条件, 数学证明

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