Trifocal Relative Pose from Lines at Points and its Efficient Solution
This work addresses a specific bottleneck in computer vision for 3D reconstruction, offering incremental improvements in solver efficiency and robustness for challenging scenarios.
The paper tackles the problem of relative camera pose estimation from three views by solving two minimal problems using point and line correspondences, achieving efficient and numerically robust solvers that handle difficult cases where existing methods fail.
We present a method for solving two minimal problems for relative camera pose estimation from three views, which are based on three view correspondences of i) three points and one line and the novel case of ii) three points and two lines through two of the points. These problems are too difficult to be efficiently solved by the state of the art Groebner basis methods. Our method is based on a new efficient homotopy continuation (HC) solver framework MINUS, which dramatically speeds up previous HC solving by specializing HC methods to generic cases of our problems. We characterize their number of solutions and show with simulated experiments that our solvers are numerically robust and stable under image noise, a key contribution given the borderline intractable degree of nonlinearity of trinocular constraints. We show in real experiments that i) SIFT feature location and orientation provide good enough point-and-line correspondences for three-view reconstruction and ii) that we can solve difficult cases with too few or too noisy tentative matches, where the state of the art structure from motion initialization fails.