Treemap: an O(log n) algorithm for simultaneous localization and mapping

  • Authors:
  • Udo Frese

  • Affiliations:
  • Fachbereich 3 Mathematik – Informatik, Universität Bremen, Bremen, Germany

  • Venue:
  • SC'04 Proceedings of the 4th international conference on Spatial Cognition: reasoning, Action, Interaction
  • Year:
  • 2004

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Abstract

This paper presents a very efficient SLAM algorithm that works by hierarchically dividing the map into local regions and subregions. At each level of the hierarchy each region stores a matrix representing some of the landmarks contained in this region. For keeping the matrices small only those landmarks are represented being observable from outside the region. A measurement is integrated into a local subregion using O(k2) computation time for k landmarks in a subregion. When the robot moves to a different subregion a global update is necessary requiring only O(k3 log n) computation time for n overall landmarks. The algorithm is evaluated for map quality, storage space and computation time using simulated and real experiments in an office environment.