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An Iterative Kalman Smoother for robust 3D localization on mobile and wearable devices, http://wwwusers.cs.umn.edu/˜dkottas,” tech (2014)

by D G Kottas, S I Roumeliotis
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A Square Root Inverse Filter for Efficient Vision-aided Inertial Navigation on Mobile Devices

by Kejian J. Wu, Ahmed M. Ahmedy, Georgios A. Georgiouy, Stergios I. Roumeliotisy
"... Abstract—In this paper, we present a square-root inverse sliding window filter (SR-ISWF) for vision-aided inertial nav-igation systems (VINS). While regular inverse filters suffer from numerical issues, employing their square-root equivalent enables the usage of single-precision number representatio ..."
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Abstract—In this paper, we present a square-root inverse sliding window filter (SR-ISWF) for vision-aided inertial nav-igation systems (VINS). While regular inverse filters suffer from numerical issues, employing their square-root equivalent enables the usage of single-precision number representations, thus achieving considerable speed ups as compared to double-precision alternatives on resource-constrained mobile platforms. Besides a detailed description of the SR-ISWF for VINS, which focuses on the numerical procedures that enable exploiting the problem’s structure for gaining in efficiency, this paper presents a thorough validation of the algorithm’s processing requirements and achieved accuracy. In particular, experiments are conduct-ed using a commercial-grade cell phone, where the proposed algorithm is shown to achieve the same level of estimation accuracy, when compared to state-of-the-art VINS algorithms,
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... Sect. III), as well as the ability to operate in singleprecision data format thanks to the square-root formulation. Finally, we aim to compare our SR-ISWF with the iterative Kalman smoother (IKS) in =-=[14]-=-. The current optimized implementation of the IKS, however, can process MSCKF but not 9To the best of our knowledge, this is by far the fastest VINS algorithm on mobile devices, which if needed can ru...

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