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Addressing challenges of modulation transfer function measurement with fisheye lens cameras

机译：鱼眼镜头相机应对调制传递函数测量的挑战

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摘要

Modulation transfer function (MTF) is a well defined and accepted method of measuring image sharpness. The slanted edge test, as defined in ISO12233 is a standard method of calculating MTF, and is widely used for lens alignment and auto-focus algorithm verification. However, there are a number of challenges which should be considered when measuring MTF in cameras with fisheye lenses. Due to trade-offs related Petzval curvature, planarity of the optical plane is difficult to achieve in fisheye lenses. It is therefore critical to have the ability to accurately measure sharpness throughout the entire image, particularly for lens alignment. One challenge for fisheye lenses is that, because of the radial distortion, the slanted edges will have different angles, depending on the location within the image and on the distortion profile of the lens. Previous work in the literature indicates that MTF measurements are robust for angles between 2 and 10 degrees. Outside of this range, MTF measurements become unreliable. Also, the slanted edge itself will be curved by the lens distortion, causing further measurement problems. This study summarises the difficulties in the use of MTF for sharpness measurement in fisheye lens cameras, and proposes mitigations and alternative methods.
机译：调制传递函数（MTF）是一种定义良好并且可以接受的测量图像清晰度的方法。 ISO12233中定义的倾斜边缘测试是计算MTF的标准方法，已广泛用于镜头对准和自动聚焦算法验证。但是，在使用鱼眼镜头的相机中测量MTF时，应考虑许多挑战。由于折衷相关的佩兹伐曲率，在鱼眼镜头中很难实现光学平面的平面性。因此，至关重要的是具有准确测量整个图像清晰度的能力，特别是对于镜头对准而言。鱼眼镜头面临的一个挑战是，由于径向畸变，倾斜的边缘将具有不同的角度，具体取决于图像内的位置和透镜的畸变轮廓。文献中的先前工作表明，MTF测量对于2至10度之间的角度是鲁棒的。超出此范围，MTF测量变得不可靠。而且，倾斜的边缘本身将由于透镜畸变而弯曲，从而引起进一步的测量问题。这项研究总结了在鱼眼镜头相机中使用MTF进行清晰度测量的困难，并提出了缓解措施和替代方法。

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