两个独立平移平面投影图像的仿射三维重建

Lior Wolf, A. Shashua
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引用次数: 14

摘要

考虑由k个平面物体组成的多体场景的两个视图,一个相对于另一个进行纯平移。我们证明了基本矩阵(每个体一个)存在于一个三维子空间中,当这个子空间被表示为3阶伸量时,它是由同形矩阵H/下标1/,…运动平面的H/下标k/。我们表明,从同形矩阵中恢复公共截线需要多达五个体,从中我们展示了如何恢复基本矩阵和两个相机之间的仿射校准。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Affine 3-D reconstruction from two projective images of independently translating planes
Consider two views of a multi-body scene consisting of k planar bodies moving in pure translation one relative to the other. We show that the fundamental matrices, one per body, live in a 3-dimensional subspace, which when represented as a step-3 extensor is the common transversal on the collection of extensors defined by the homograph matrices H/sub 1/,...,H/sub k/ of the moving planes. We show that as much as five bodies are necessary for recovering the common transversal from the homograph matrices, from which we show how to recover the fundamental matrices and the affine calibration between the two cameras.
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