鱼眼镜头图像畸变的校正方法

Correction method of image distortion of fisheye lens

  • 摘要: 提出了一种校正鱼眼镜头图像畸变的新方法。通过追迹光学系统的主光线,获得它在投影平面上的径向位置与它在像平面上位置之间的关系曲线;然后用傅立叶级数拟合该关系曲线;并求出该级数的逆函数,结果就可以根据畸变图像复原没有畸变的图像。用该方法数值模拟两个鱼眼镜头系统的图像畸变校正;并用其中一个鱼眼镜头(尼康16 mm/F2.8)拍摄的两张图像进行了畸变校正实验。结果表明,当设置投影平面和物平面重合时,恢复的图像相对于物体的残余径向高度误差非常小(小于0.25%)。实验证明了该方法是可行的。

     

    Abstract: A new method to correct the image distortion of a fisheye lens was presented. The relationship of radial position of the chief ray at a projection plane and image plane was obtained by tracing the chief ray through the optical system, then a Fourier series was applied to fit the relation curve. Finding the inverse function of the expression of the series, the image without distortion can be obtained in terms of the resultant distorted image. Correction of image distortion of two fisheye lenses was simulated numerically with the method, experiments of distortion correction of two pictures taken with one of fisheye lenses, Nikon 16 mm/F2.8 lenses, were performed. The results show that residual radial height error of the restored image to the object is quite small(less than 0.25%) when the projection plane coincides with the object plane. The experiments also demonstrate that the method is feasible.

     

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