Global localization using odometry

This paper presents a global localization technique for a robot with only linear and angular odometers. The robot, whose configuration is composed of its position and orientation, moves in a fully-known environment by alternating rotations and forward translations. We pose the problem as a discrete-time planning problem in the robot's information space, which encapsulates the uncertainty in the robot's configuration. Our contribution is to show that in any simply-connected, bounded polygonal environment, localization by odometry alone is possible, but only up to the symmetries in the environment

[1]  Matthew T. Mason,et al.  An exploration of sensorless manipulation , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[2]  Chee-Keng Yap,et al.  A "Retraction" Method for Planning the Motion of a Disc , 1985, J. Algorithms.

[3]  Lyle A. McGeoch,et al.  Competitive algorithms for on-line problems , 1988, STOC '88.

[4]  Leonidas J. Guibas,et al.  Optimal Shortest Path Queries in a Simple Polygon , 1989, J. Comput. Syst. Sci..

[5]  Vladimir J. Lumelsky,et al.  Provable strategies for vision-guided exploration in three dimensions , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[6]  Kenneth Basye,et al.  Map Learning with Indistinguishable Locations , 1989, UAI.

[7]  Vladimir J. Lumelsky,et al.  An algorithm for maze searching with azimuth input , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[8]  R. Hinkel,et al.  ENVIRONMENT PERCEPTION WITH A LASER RADAR IN A FAST MOVING ROBOT , 1988 .

[9]  Howie Choset,et al.  Sensor Based Planing, Part I: The Generalized Voronoi Graph , 1995, ICRA.

[10]  Ingemar J. Cox,et al.  Blanche-an experiment in guidance and navigation of an autonomous robot vehicle , 1991, IEEE Trans. Robotics Autom..

[11]  John Hershberger,et al.  A New Data Structure for Shortest Path Queries in a Simple Polygon , 1991, Inf. Process. Lett..

[12]  Gregory Dudek,et al.  Randomized Algorithms for Minimum Distance Localization , 2007, Int. J. Robotics Res..

[13]  Ingemar J. Cox,et al.  Dynamic Map Building for an Autonomous Mobile Robot , 1992 .

[14]  Steven M. LaValle,et al.  Gap Navigation Trees: Minimal Representation for Visibility-based Tasks , 2004, WAFR.

[15]  Wolfram Burgard,et al.  A Probabilistic Approach to Concurrent Mapping and Localization for Mobile Robots , 1998, Auton. Robots.

[16]  Gregory Dudek,et al.  Minimum Distance Localization for a Robot with Limited Visibility , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[17]  Gregory Dudek,et al.  Localizing a robot with minimum travel , 1995, SODA '95.

[18]  Howie Choset,et al.  Robust sensor-based coverage of unstructured environments , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[19]  Pankaj K. Agarwal,et al.  Minimal trap design , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[20]  Kevin M. Lynch,et al.  Parts Feeding on a Conveyor with a One Joint Robot , 2000, Algorithmica.

[21]  Wolfram Burgard,et al.  Monte Carlo localization for mobile robots , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[22]  Leonidas J. Guibas,et al.  Visibility and intersection problems in plane geometry , 1989, Discret. Comput. Geom..

[23]  Ewald von Puttkamer,et al.  Keeping track of position and orientation of moving indoor systems by correlation of range-finder scans , 1994, Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'94).

[24]  Hiroshi Imai,et al.  Locating a Robot with Angle Mathematics , 1990, J. Symb. Comput..

[25]  Jason M. O'Kane,et al.  Almost-Sensorless Localization , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[26]  Howie Choset,et al.  Complete sensor-based coverage with extended-range detectors: a hierarchical decomposition in terms of critical points and Voronoi diagrams , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[27]  Erik D. Demaine,et al.  Robot Localization without Depth Perception , 2002, SWAT.

[28]  Jon M. Kleinberg,et al.  The localization problem for mobile robots , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.

[29]  Wolfgang D. Rencken,et al.  Concurrent localisation and map building for mobile robots using ultrasonic sensors , 1993, Proceedings of 1993 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS '93).

[30]  Ken Goldberg,et al.  Optimal Curved Fences for Part Alignment on a Belt , 1995 .

[31]  Ehud Rivlin,et al.  Sensory-based motion planning with global proofs , 1997, IEEE Trans. Robotics Autom..

[32]  Mark H. Overmars,et al.  Trap Design for Vibratory Bowl Feeders , 2001 .

[33]  Sven Schuierer,et al.  Optimal robot localization in trees , 1996, SCG '96.

[34]  Kenneth Y. Goldberg,et al.  Orienting polygonal parts without sensors , 1993, Algorithmica.

[35]  Steven M. LaValle,et al.  Planning algorithms , 2006 .

[36]  Kokichi Sughiara.  Some location problems for robot navigation using a single camera , 1988 .

[37]  Leonidas J. Guibas,et al.  The Robot Localization Problem , 1995, SIAM J. Comput..