基于平面与直线的仿射重建

首先给出了无穷远平面的单应矩阵以及仿射重建算法，然后从数学上严格证明了下述命题：在变参数模型下，如果场景中含有一张平面和一对平行直线，或者场景中含有两张平行平面，则从两个平移视点下的图像均可以线性地对场景进行仿射重建；文章同时指出：如果场景中包含一对平行平面和一对平行直线，则从两个一般运动视点也可以线性地重建场景的仿射几何．大量的模拟和真实图像实验表明，该线性仿射重建算法是正确的，同时具有较高的重建精度和鲁棒性．

Affine Reconstruction from Planes and Lines

This paper proves the following results: If a pair of parallel planes or one plane and a pair of parallel lines are present in the scene, the affine reconstruction can be done linearly from two images taken by a translating camera with varying intrinsic parameters. The key point for the above both two cases lies in how to determine the infinite homography induced by the plane at infinity with the a priori information of the scene. In addition, we also prove that if a pair of parallel planes and a pair of parallel lines are both present in the scene, the affine reconstruction can also be done linearly from two general views. Extensive simulations and experiments with real images validate our theoretical works and show that the obtained reconstruction is fairly accurate and robust.