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An Evidential RANSAC Algorithm and Its Application to GNSS Positioning

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Belief Functions: Theory and Applications (BELIEF 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9861))

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Abstract

The RANSAC (random sampling consensus) approach was proposed for robust estimation in presence of outliers, that are detected as inconsistent with the solution. In this paper, we adapt its principle to derive an algorithm detecting inconsistent sources based on their modelling in evidential framework. We compare two (in)consistency criteria: the classic empty set mass and Pichon’s consistency measure that was recently proposed. The proposed approach is applied to positioning from Global Navigation Satellite Systems (GNSS), specifically in constrained environments, i.e. in the presence of Non Line Of Sight and multipath receptions. Results are compared with former approaches either in belief functions framework or using interval analysis, stating the interest of the proposed algorithm.

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Correspondence to Salim Zair .

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© 2016 Springer International Publishing Switzerland

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Zair, S., Le Hégarat-Mascle, S., Seignez, E. (2016). An Evidential RANSAC Algorithm and Its Application to GNSS Positioning. In: Vejnarová, J., Kratochvíl, V. (eds) Belief Functions: Theory and Applications. BELIEF 2016. Lecture Notes in Computer Science(), vol 9861. Springer, Cham. https://doi.org/10.1007/978-3-319-45559-4_25

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  • DOI: https://doi.org/10.1007/978-3-319-45559-4_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45558-7

  • Online ISBN: 978-3-319-45559-4

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