基于优化的鱼眼镜头成像模型的空间点定位

针对应用高阶奇次多项式法和光学折射模型定位误差大、局限性强的问题，提出一种优化的鱼眼镜头成像定位算法。根据镜头的偏心畸变推导出新的畸变模型，进而在此畸变和光学折射模型的基础上建立优化的成像模型，并标定模型参数；对该成像模型进行反投影推导，得到三维点坐标，实现空间目标的精确定位。实验结果表明，当被测物分别处于鱼眼图像中心区域和边缘区域时，该算法的相对定位误差远远小于高阶奇次多项式法和光学折射模型的方法，减小了图像畸变对测量精度的影响，解决了使用光学折射模型定位局限性强的问题。

Abstract

Due to the big position error and strong limitations by using high odd polynomial method and optical refraction model, an optimization of fisheye lens imaging position algorithm is proposed. A new distortion model is derived according to the decentering distortion of the lens and optimized imaging model is established based on the distortion model and optical refraction model. After calibrating the imaging model parameters, a back projection model is derived and then three dimensional point coordinates are obtained. Space targets are precisely positioned. Experimental results show that the proposed algorithm has far less relative positioning error than the method which using high odd polynomial and optical refraction when the measured object respectively in fisheye image center and edge areas. Compared with previous method, the image distortion of proposed algorithm obviously has less influence on measurement precision and it effectively improves the positioning accuracy.

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李海滨, 褚光宇, 张强, 张文明, 李雅倩. 基于优化的鱼眼镜头成像模型的空间点定位[J]. 光学学报, 2015, 35(7): 0715003. 李海滨, 褚光宇, 张强, 张文明, 李雅倩. Space Point Positioning Based on Optimization of Fisheye Lens Imaging Model[J]. Acta Optica Sinica, 2015, 35(7): 0715003.

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