Dissemin is shutting down on January 1st, 2025

Published in

2010 IEEE/RSJ International Conference on Intelligent Robots and Systems

DOI: 10.1109/iros.2010.5652603

Links

Tools

Export citation

Search in Google Scholar

How far is SLAM from a linear least squares problem?

Proceedings article published in 2010 by Shoudong Huang ORCID, Yingwu Lai, Udo Frese, Gamini Dissanayake
This paper is available in a repository.
This paper is available in a repository.

Full text: Download

Green circle
Preprint: archiving allowed
Green circle
Postprint: archiving allowed
Red circle
Published version: archiving forbidden
Data provided by SHERPA/RoMEO

Abstract

Most people believe SLAM is a complex nonlinear estimation/optimization problem. However, recent research shows that some simple iterative methods based on linearization can sometimes provide surprisingly good solutions to SLAM without being trapped into a local minimum. This demonstrates that hidden structure exists in the SLAM problem that is yet to be understood. In this paper, we first analyze how far SLAM is from a convex optimization problem. Then we show that by properly choosing the state vector, SLAM problem can be formulated as a nonlinear least squares problem with many quadratic terms in the objective function, thus it is clearer how far SLAM is from a linear least squares problem. Furthermore, we explain that how the map joining approaches reduce the nonlinearity/nonconvexity of the SLAM problem.