Title
A Minimum Energy solution to Monocular Simultaneous Localization and Mapping
Abstract
In this paper we propose an alternative solution to the Monocular Simultaneous Localization and Mapping (SLAM) problem. This approach uses a Minimum-Energy Observer for Systems with Perspective Outputs and provides an optimal solution. Contrarily to the most famous EKF-SLAM algorithm, this method yields a global solution and no linearization procedures are required. Furthermore, we show that the estimation error converges exponentially fast toward a neighborhood of zero, where this region increases gracefully with the magnitude of the input disturbance, output noise and initial camera position uncertainty. For practical purposes, we present also the filter in both continuous and discrete time form. Moreover, to show how to integrate a new landmark in the state estimation, a simple initialization procedure is presented. The filter performances are illustrated via simulations.
Year
DOI
Venue
2011
10.1109/CDC.2011.6160813
CDC-ECE
Keywords
Field
DocType
mathematical model,simultaneous localization and mapping,discrete time,covariance matrix,noise
Mathematical optimization,Computer science,Control theory,Initialization,Discrete time and continuous time,Covariance matrix,Landmark,Monocular,Observer (quantum physics),Simultaneous localization and mapping,Linearization
Conference
ISSN
ISBN
Citations 
0743-1546 E-ISBN : 978-1-61284-799-3
978-1-61284-799-3
1
PageRank 
References 
Authors
0.35
13
4
Name
Order
Citations
PageRank
Andrea Alessandretti1355.33
Aguiar, A.268663.85
João Pedro Hespanha314018.62
Paolo Valigi416525.12