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相机畸变的混合模型迭代检校法
引用本文:汪佳丽,王炜杰,马振玲.相机畸变的混合模型迭代检校法[J].测绘通报,2019,0(4):103-106.
作者姓名:汪佳丽  王炜杰  马振玲
作者单位:上海海洋大学海洋科学学院,上海,201306;上海海洋大学海洋科学学院,上海,201306;上海海洋大学海洋科学学院,上海,201306
基金项目:上海海洋大学海洋测绘中心建设(A1-0203-17-1002);上海海洋大学博士科研启动基金(A2-0203-17-100311);大深度载人潜水器载人球壳的结构可靠性研究(51439004);上海市科委重点项目(15DZ1207000);上海市科委重点科研计划(17DZ1204902)
摘    要:严格的相机检校是进行高精度测量和三维模型重建的基础。本文通过模拟理想影像并对之加入各种畸变,针对相机平面畸变检校模型中的径向、偏心和平面内3种畸变进行了探讨,结果发现同时考虑径向、偏心和线性3种畸变的物理检校模型要优于只考虑其中某一种或两种畸变的物理检校模型;试验结果同时表明现有物理检校模型并不能完全消除影像畸变;针对物理检校模型不能完全消除影像畸变的问题,本文引入数学检校模型(切比雪夫多项式),并提出物理检校模型和数学检校模型混合迭代检校的思想,通过模拟影像试验验证这一方法比单一使用物理模型或数学模型更能有效地降低影像畸变;最后本文对运动相机GoPro影像检校试验进一步验证了提出的混合模型迭代检校法能够更好地检校影像畸变。

关 键 词:相机检校  平面畸变  迭代检校  切比雪夫多项式
收稿时间:2018-08-07
修稿时间:2018-11-06

Hybrid-model based camera distortion iterative calibration method
WANG Jiali,WANG Weijie,MA Zhenling.Hybrid-model based camera distortion iterative calibration method[J].Bulletin of Surveying and Mapping,2019,0(4):103-106.
Authors:WANG Jiali  WANG Weijie  MA Zhenling
Institution:College of Marine Science, Shanghai Ocean University, Shanghai 201306, China
Abstract:Rigorous camera calibration is fundamental to perform accurate measurement and 3D reconstruction. This paper analyses the calibration models for three types of planimetric distortions namely radial distortion, decentering distortion and the orthogonality and affinity (linear) distortion. These distortions are simulated and introduced to ideal images in order to conduct experimental tests. The results indicate that no matter what kind of distortion the images have, the physical model which takes into account all three type of distortion performs best, however, the experimental results also indicate that the existing physical models cannot completely eliminate the image distortion. Therefore, a mathematical calibration model (Chebyshev polynomial) is introduced, and an iterative calibration approach is adapted to attempt to further improve the calibration results. The hybrid iterative calibration approach chooses the calibration model during iterations alternatively between a physical model and a mathematical model. Calibration results from both simulated images and real images (GoPro camera) demonstrate that the use of the proposed hybrid iterative calibration approach can further reduce the distortion.
Keywords:camera calibration  plane distortion  iterative calibration  Chebyshev polynomial  
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