verification

Lagrangian Duality in 3D SLAM: Verification Techniques and Optimal Solutions

State-of-the-art techniques for simultaneous localization and mapping (SLAM) employ iterative nonlinear optimization methods to compute an estimate for robot poses. While these techniques often work well in practice, they do not provide guarantees on …

On the Inclusion of Determinant Constraints in Lagrangian Duality for 3D SLAM

Recent work in 3D Pose Graph Optimization (PGO) shows how a dual Lagrangian formulation of the problem can be used to verify (and possibly certify) the quality of a given solution. A limitation of current approaches is that they relax the positive …