Efficient Solution of Point-Line Absolute Pose

We revisit certain problems of pose estimation based on 3D--2D correspondences between features which may be points or lines. Specifically, we address the two previously-studied minimal problems of estimating camera extrinsics from p ∈ 1, 2 point--point correspondences and l=3-p line--line correspondences. To the best of our knowledge, all of the previously-known practical solutions to these problems required computing the roots of degree ≥ 4 (univariate) polynomials when p=2, or degree ≥ 8 polynomials when p=1. We describe and implement two elementary solutions which reduce the degrees of the needed polynomials from 4 to 2 and from 8 to 4, respectively. We show experimentally that the resulting solvers are numerically stable and fast: when compared to the previous state-of-the art, we may obtain nearly an order of magnitude speedup. The code is available at urlhttps://github.com/petrhruby97/efficientabsolute