A New Three Object Triangulation Algorithm for Mobile Robot Positioning

Pierlot, Vincent; Van Droogenbroeck, Marc

doi:10.1109/TRO.2013.2294061

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A New Three Object Triangulation Algorithm for Mobile Robot Positioning

Pierlot, Vincent; Van Droogenbroeck, Marc

2014 • In IEEE Transactions on Robotics, 30 (3), p. 566-577

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/157469

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10.1109/TRO.2013.2294061

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A New Three Object Triangulation Algorithm for Mobile Robot Positioning

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Keywords :

mobile robot; positioning; triangulation; resection; survey; source code in C; ToTal; benchmarking; robot

Abstract :

[en] Positioning is a fundamental issue in mobile robot applications. It can be achieved in many ways. Among them, triangulation based on angles measured with the help of beacons is a proven technique. Most of the many triangulation algorithms proposed so far have major limitations. For example, some of them need a particular beacon ordering, have blind spots, or only work within the triangle defined by the three beacons. More reliable methods exist; however, they have an increasing complexity or they require to handle certain spatial arrangements separately. In this paper, we present a simple and new three object triangulation algorithm, named ToTal, that natively works in the whole plane, and for any beacon ordering. We also provide a comprehensive comparison between many algorithms, and show that our algorithm is faster and simpler than comparable algorithms. In addition to its inherent efficiency, our algorithm provides a very useful and unique reliability measure, assessable anywhere in the plane, which can be used to identify pathological cases, or as a validation gate in Kalman filters.

Research center :

Telecommunications and Imaging Laboratory (TELIM)
Intelsig

Disciplines :

Electrical & electronics engineering

Author, co-author :

Pierlot, Vincent ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Dép. d'électric., électron. et informat. (Inst.Montefiore)

Van Droogenbroeck, Marc ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Télécommunications

Language :

English

Title :

A New Three Object Triangulation Algorithm for Mobile Robot Positioning

Publication date :

June 2014

Journal title :

IEEE Transactions on Robotics

ISSN :

1552-3098

Publisher :

IEEE, Piscataway, United States - New Jersey

Volume :

Issue :

Pages :

566-577

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6693716
http://www.telecom.ulg.ac.be/publi/publications/pierlot/Pierlot2014ANewThree/

Name of the research project :

Eurobot

Commentary :

Source code available at http://www.telecom.ulg.ac.be/triangulation See also http://www.telecom.ulg.ac.be/publi/publications/pierlot/Pierlot2014ANewThree/ for an HTML version of the document

Available on ORBi :

since 22 October 2013

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