Affine reconstruction from a plane and two parallel lines

摘要

Affine reconstruction is the most difficult and crucial step in 3D reconstruction from image space to the Euclidean space. Recent research indicates that it is impossible to realize the affine reconstruction from a perspective image pairs captured by a translating camera with varying intrinsic parameters if no geometric information of the scene is available. Therefore, it is indispensable to provide some additional information for affine reconstruction from a pair of images. In this paper, we propose that if one plane and a pair of parallel lines are presented in the scene, the affine reconstruction can be done linearly from two images taken by a translating camera. We also point out that if a pair of parallel planes is presented in the scene, the affine reconstruction can also be done linearly from an image pair taken by a translating camera, and if a pair of parallel planes and a pair of parallel lines are presented in the scene, the affine reconstruction can be done linearly from two general views. Extensive simulations and experiments with real images validate our algorithm. The result of this paper seems of both academic and practical significance in 3D computer vision.