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A Simple Method for Correcting Lens Distortion in Low-Cost Camera Using Geometric Invariability

机译:利用几何不变性校正低成本相机镜头畸变的简单方法

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摘要

In this paper, a lens distortion correction method for low-cost digital camera is proposed. The distortion coefficient and distortion center are estimated by using geometric invariants of perspective projection. The geometric invariants, including cross ratio of collinear points and straight-parallel-perpendicular lines, will be invariant in transforming from the world coordinate system to image coordinate system if there exists no distortion. We derive new distortion measure that is based on these geometric properties and can be optimized with nonlinear search technique. The method is easy to apply and lead to robust results with moderate effort. We verify accuracy and efficiency from experiments.
机译:本文提出了一种低成本数码相机的镜头畸变校正方法。通过使用透视投影的几何不变量来估计失真系数和失真中心。如果不存在失真,则包括共线点和直线平行-垂直线的交叉比率在内的几何不变量在从世界坐标系到图像坐标系的转换中将是不变的。我们导出了基于这些几何特性的新失真度量,并且可以使用非线性搜索技术对其进行优化。该方法易于应用,并通过适度的努力即可获得可靠的结果。我们通过实验验证准确性和效率。

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