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Environment Characterization for Non-recontaminating Frontier-Based Robotic Exploration

  • Mikhail Volkov
  • Alejandro Cornejo
  • Nancy Lynch
  • Daniela Rus
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7047)

Abstract

This paper addresses the problem of obtaining a concise description of a physical environment for robotic exploration. We aim to determine the number of robots required to clear an environment using non-recontaminating exploration. We introduce the medial axis as a configuration space and derive a mathematical representation of a continuous environment that captures its underlying topology and geometry. We show that this representation provides a concise description of arbitrary environments, and that reasoning about points in this representation is equivalent to reasoning about robots in physical space. We leverage this to derive a lower bound on the number of required pursuers. We provide a transformation from this continuous representation into a symbolic representation. Finally, we present a generalized pursuit-evasion algorithm. Given an environment we can compute how many pursuers we need, and generate an optimal pursuit strategy that will guarantee the evaders are detected with the minimum number of pursuers.

Keywords

swarm robotics frontier-based exploration distributed pursuit- evasion environment characterization mathematical morphology planar geometry graph combinatorics game determinacy 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Mikhail Volkov
    • 1
  • Alejandro Cornejo
    • 1
  • Nancy Lynch
    • 1
  • Daniela Rus
    • 1
  1. 1.Computer Science and Artificial Intelligence LaboratoryMassachusetts Institute of TechnologyCambridgeUSA

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