Motion from 3D line correspondences: linear and nonlinear solutions

We address the problem of aligning two reconstructions of lines and cameras in projective, affine, metric or Euclidean space. We propose several 3D (three-dimensional) and image-related linear algorithms. The result can be used to initialize the nonlinear minimization of several proposed error functions, as well as the maximum likelihood estimator that we derive. We evaluate and compare our algorithms to existing ones using simulated and real data.