Paper
24 May 2012 Consensus of stochastic maps
Brandon Jones, Mark Campbell, Lang Tong
Author Affiliations +
Abstract
In this paper, we consider the agreement problem of estimating the locations of landmarks observed by multiple agents in the absence of a global frame of reference. Maximum likelihood estimators are derived from scenarios of independent and mutual landmark estimation. A triangle-based hypothesis test is proposed for the detection of common landmarks across the coordinate systems of the agents and is followed by a formulation of triangle matching as a linear assignment problem. A landmark agreement model is also proposed with consideration that the agents may observe both common and uncommon landmarks. Simulation examples are provided illustrating the proposed landmark estimation and triangle matching approaches.
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Brandon Jones, Mark Campbell, and Lang Tong "Consensus of stochastic maps", Proc. SPIE 8389, Ground/Air Multisensor Interoperability, Integration, and Networking for Persistent ISR III, 83890W (24 May 2012); https://doi.org/10.1117/12.920808
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KEYWORDS
Matrices

Systems modeling

Stochastic processes

Estimation theory

MATLAB

Fourier transforms

Error analysis

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