Summary
The aim of this paper is to present a convergence property of a simple vision based navigation system for a mobile robot. A robot equipped with a single camera is guided by a human operator along a path consisting of straight segments. During this guided tour, local image invariants are extracted from acquired frames and odometric data are collected. When navigating learned path, the vision is used to reckon direction to the start point of next straight segment. Odometric measurements are utilized to estimate distance to this point. A simple linear model of this navigation system is lined up and its properties are examined. We proclaim a theorem, which states, that for a limited odometric error and ”reasonable” trajectory, the robot uncertainty in position estimation does not diverge. A formal proof of this theorem is given for regular polygonal trajectories. The proclaimed convergence theorem is also experimentally verified.
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References
Bay, H., Tuytelaars, T., Gool, L.: Surf: Speeded up robust features. In: Proceedings of the ninth European Conference on Computer Vision (2006)
Bianco, G.M., Zelinsky, A.: The convergence property of goal based visual navigation. In: Proceedings of International Conference on Intelligent Robots and Systems EFPL Lausanne, Switzerland, pp. 649–654 (2002)
Blanc, G., Mezouar, Y., Martinet, P.: Indoor navigation of a wheeled mobile robot along visual routes. In: Proceedings of International Conference on Robotics and Automation (2005)
Blanc, G., Mezouar, Y., Martinet, P.: A visual landmark recognition system for autonomous robot navigation. In: Proceedings of CIMCA-IAWTIC 2006 (2006)
DeSouza, G.N., Kak, A.C.: Vision for mobile robot navigation: A survey. IEEE Trans. Pattern Anal. Mach. Intell. 24(2), 237–267 (2002)
Kidono, K., Miura, J., Shirai, Y.: Autonomous visual navigation of a mobile robot using a human-guided experience. In: Proceedings of 6th Int. Conf. on Intelligent Autonomous Systems, pp. 620–627 (2000)
Matsumoto, Y., Inaba, M., Inoue, H.: Visual navigation using view-sequenced route representation. In: Proceedings of the International Conference on Robotics and Automation, Minneapolis, USA, pp. 83–88 (1996)
Se, S., Lowe, D., Little, J.: Vision-based mobile robot localization and mapping using scale-invariant features. In: Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Seoul, Korea, May 2001, pp. 2051–2058 (2001)
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© 2008 Springer-Verlag Berlin Heidelberg
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Krajník, T., Přeučil, L. (2008). A Simple Visual Navigation System with Convergence Property. In: Bruyninckx, H., Přeučil, L., Kulich, M. (eds) European Robotics Symposium 2008. Springer Tracts in Advanced Robotics, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78317-6_29
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DOI: https://doi.org/10.1007/978-3-540-78317-6_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78315-2
Online ISBN: 978-3-540-78317-6
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