We study the problem of aligning two 3D line reconstructions expressed in Pl?cker line coordinates. We introduce the 6?6 3D line motion matrix that acts on Pl?cker coordinates in projective, affine or Euclidean space. We characterize its algebraic properties and its relation to the usual 4?4 point motion matrix, and propose various methods for estimating 3D motion from line correspondences, based on image-related and 3D cost functions. We assess the quality of the different estimation methods using simulated data and real images.
Citation:
Adrien Bartoli, Peter Sturm, "The 3D Line Motion Matrix and Alignment of Line Reconstructions," cvpr, vol. 1, pp.287, 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'01) - Volume 1, 2001