Wavelet Occupancy Grids: A Method for Compact Map Building

This paper introduces the structure of wavelet occupancy grids (WavOGs) as a tool for storing occupancy grids in a compact way. We have shown that WavOGs provide a continuous semantics of occupancy through scaled spaces. In accordance with the theoretical properties of wavelets, our experiments have validated that WavOGs allow major memory gains. WavOG as a compact multi-scaled tool provides an efficient framework for the various algorithms that use OGs such as robot navigation, spatio-temporal classification or multiple target-tracking. In future works we plan to apply WavOGs to the monitoring of urban traffic over large areas.

[1]  Dinesh K. Pai,et al.  Multiresolution rough terrain motion planning , 1995, Proceedings 1995 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human Robot Interaction and Cooperative Robots.

[2]  D. J. Hand,et al.  Artificial intelligence , 1981, Psychological Medicine.

[3]  S. Mallat A wavelet tour of signal processing , 1998 .

[4]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[5]  Sivasankar Ramarasu Vision based navigation for an unmanned aerial vehicle , 2007 .

[6]  MoravecHans Sensor fusion in certainty grids for mobile robots , 1988 .

[7]  Cédric Pradalier,et al.  Simultaneous localization and mapping using the Geometric Projection Filter and correspondence graph matching , 2003, Adv. Robotics.

[8]  Sebastian Thrun,et al.  ARA*: Anytime A* with Provable Bounds on Sub-Optimality , 2003, NIPS.

[9]  Yoram Koren,et al.  Real-time obstacle avoidance for fast mobile robots in cluttered environments , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[10]  I. Daubechies Ten Lectures on Wavelets , 1992 .

[11]  Sebastian Thrun,et al.  Learning Metric-Topological Maps for Indoor Mobile Robot Navigation , 1998, Artif. Intell..

[12]  E. Mazer Inria,et al.  Using Bayesian Programming for multi-sensor multi-target tracking in automotive applications , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[13]  Benjamin Kuipers,et al.  The Spatial Semantic Hierarchy , 2000, Artif. Intell..

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