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Camera Resectioning from a Box

机译:摄像机从盒子切开

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摘要

In this paper we describe how we can do camera resectioning from a box with unknown dimensions, i.e. determine the camera model, assuming that image pixels are square. This assumption is equivalent to assuming that the camera has an aspect ratio of one and zero skew, and this holds for most - if not all - digital cameras. Our proposed method works by first deriving 9 linear constraints on the projective camera matrix from the box, leaving a 3-dimensional subspace in which the projective camera matrix can lie. A single solution in this 3D subspace is then found via a method by Triggs in 1999, which uses the square pixel assumption to set up a 4th degree polynomial to which the solution is the desired model. This approach is, however, numerically challenging, and we use several means to tackle this issue. Lastly the solution is refined in an iterative manner, i.e. using bundle adjustment.
机译:在本文中,我们描述了我们如何从具有未知尺寸的盒子切除的摄像机,即确定相机模型,假设图像像素是正方形。这种假设相当于假设相机具有一个和零偏斜的纵横比,并且这适用于大多数 - 如果不是全部 - 数码相机。我们所提出的方法通过首先从框中推出9个线性约束,留下一个三维子空间,其中投影相机矩阵可以呈现。然后通过1999年通过Triggs的方法找到该3D子空间中的单个解决方案,该方法使用Square像素假设来建立第4度多项式,解决方案是所需的模型。然而,这种方法是数值挑战,我们使用几种方法来解决这个问题。最后,解决方案以迭代方式精制,即使用捆绑调整。

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