2016 IEEE International Conference on Robotics and Automation (ICRA) 2016
DOI: 10.1109/icra.2016.7487736
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Distributed trajectory estimation with privacy and communication constraints: A two-stage distributed Gauss-Seidel approach

Abstract: We propose a distributed algorithm to estimate the 3D trajectories of multiple cooperative robots from relative pose measurements. Our approach leverages recent results [1] which show that the maximum likelihood trajectory is well approximated by a sequence of two quadratic subproblems. The main contribution of the present work is to show that these subproblems can be solved in a distributed manner, using the distributed Gauss-Seidel (DGS) algorithm. Our approach has several advantages. It requires minimal inf… Show more

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Cited by 30 publications
(25 citation statements)
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“…The relative pose estimation module (RelPose) extracts the parts of the sparse map that are observed at the candidate place matches and uses them to establish relative poses between the robots trajectories, or to reject candidate matches. The decentralized optimization module (DOpt) [2] obtains the initial guess from the map, intra-robot relative pose measurements E I from the VO and the inter-robot relative pose measurements E S from RelPose, and updates the map. The system works continuously as new images are acquired.…”
Section: Methodsmentioning
confidence: 99%
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“…The relative pose estimation module (RelPose) extracts the parts of the sparse map that are observed at the candidate place matches and uses them to establish relative poses between the robots trajectories, or to reject candidate matches. The decentralized optimization module (DOpt) [2] obtains the initial guess from the map, intra-robot relative pose measurements E I from the VO and the inter-robot relative pose measurements E S from RelPose, and updates the map. The system works continuously as new images are acquired.…”
Section: Methodsmentioning
confidence: 99%
“…Several systems have previously combined decentralized optimization and relative pose estimation into decentralized SLAM. Several optimization works cited in Section II-A, such as [2], [4] use direct relative measurements and can thus be considered full decentralized SLAM systems with the recall limitation illustrated in Fig. 2.…”
Section: Integrated Decentralized Slammentioning
confidence: 99%
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“…The second reason is that Gaussian elimination is performed on a linearized version of the problem, hence approaches such as DDF-SAM [54] require good linearization points and complex bookkeeping to ensure consistency of the linearization points across the robots. An alternative approach to Gaussian elimination is the Gauss-Seidel approach of Choudhary et al [47], which implies a communication burden which is linear in the number of separators.…”
Section: Long-term Autonomy Ii: Scalabilitymentioning
confidence: 99%
“…Compute prediction message m fX i !Xi (X t i ) and m fL k !Lk (L t k ) by (15) and (20), respectively 3 Broadcast prediction distributions as initial messages of iteration process by (36)- (38) 4 for iteration r = 1 : R do 5…”
Section: Resultsmentioning
confidence: 99%