Multi-modal and Inertial sensor Solutions for Navigation-type Factor Graphs
Name
FourieD_PhDThesis.pdf
Description
PhD thesis submitted to MIT EECS 31 Aug 2017
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15.66 MB
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Adobe PDF
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901aaca414547510de62531ecd733a74
Author(s)
Fourie, Dehann
Date Issued
August 31, 2017
Publisher
MIT
Citation
Fourie, D., 2017. Multi-modal and inertial sensor solutions for navigation-type factor graphs (Doctoral dissertation, Massachusetts Institute of Technology and Woods Hole Oceanographic Institution).
Abstract
This thesis presents a sum-product inference algorithm for platform navigation called Multi-modal iSAM (incremental smoothing and mapping). Common Gaussian only likelihoods are restrictive and require a complex front-end processes to deal with non-Gaussian measurements. Instead, our approach allows the front-end to defer ambiguities with non-Gaussian measurement models. We retain the acyclic Bayes tree (and incremental update strategy) from the predecessor iSAM2 max-product algorithm [Kaess et al., IJRR 2012]. The approach propagates continuous beliefs on the Bayes (Junction) tree, which is an efficient symbolic refactorization
of the nonparametric factor graph, and asymptotically approximates the underlying Chapman-Kolmogorov equations. Our method tracks dominant modes in the marginal posteriors of all variables with minimal approximation error, while suppressing almost all low likelihood modes (in a non-permanent manner). Keeping with existing inertial navigation, we present a novel, continuous-time, retroactively calibrating inertial odometry residual function, using preintegration to seamlessly incorporate pure inertial sensor measurements into a factor graph. We centralize around a factor graph (with starved graph databases) to separate elements of the navigation into an ecosystem of processes. Practical examples are included, such as how to infer multi-modal marginal posterior belief estimates for ambiguous loop closures; raw beam-formed acoustic measurements; or conventional parametric likelihoods, and others.
Subjects
SLAM, robotics, navigation, mapping, localization, factor graph, Bayes tree, non-Gaussian, multi-modal, junction tree, inertial odometry, preintegration, IMU, radar, acoustic, Chapman-Kolmogorov transit integral
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