NxR Lab Meeting

Taosha Fan will be presenting work accepted to IROS 2019. His paper is a finalist for Best Student Paper at IROS.

Efficient and Guaranteed Planar Pose Graph Optimization Using the Complex Number Representation
In this talk, we present CPL-Sync, a certifiably correct algorithm to solve planar pose graph optimization (PGO) using the complex number representation. We formulate planar PGO as the maximum likelihood estimation (MLE) on the product of unit complex numbers, and relax this nonconvex quadratic complex optimization problem to complex semidefinite programming (SDP). Furthermore, we simplify the corresponding semidefinite programming to Riemannian staircase optimization (RSO) on complex oblique manifolds that can be solved with the Riemannian trust region (RTR) method. In addition, we prove that the SDP relaxation and RSO simplification are tight as long as the noise magnitude is below a certain threshold. The efficacy of this work is validated through comparisons with existing methods as well as applications on planar PGO in simultaneous localization and mapping (SLAM), which indicates that the proposed algorithm is capable of solving planar PGO certifiably, and is more efficient in numerical computation and more robust to measurement noises than the existing state-of-the-art methods. The C++ code for CPL-Sync is available at https://github.com/fantaosha/CPL-Sync.
Date: 
Friday, September 13, 2019 - 4:00pm to 5:00pm
Location: 
MechE Conference Room (B211)
2145 Sheridan Rd.
Evanston , IL
United States
Illinois