Towards an Iterative Algorithm for the Optimal Boundary Coverage of a 3D Environment

  • Authors:
  • Andrea Bottino

  • Affiliations:
  • Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy 10129

  • Venue:
  • CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
  • Year:
  • 2009

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Abstract

This paper presents a new optimal algorithm for locating a set of sensors in 3D able to see the boundaries of a polyhedral environment. Our approach is iterative and is based on a lower bound on the sensors' number and on a restriction of the original problem requiring each face to be observed in its entirety by at least one sensor. The lower bound allows evaluating the quality of the solution obtained at each step, and halting the algorithm if the solution is satisfactory. The algorithm asymptotically converges to the optimal solution of the unrestricted problem if the faces are subdivided into smaller parts.