Curvature-bounded traversals of narrow corridors

  • Authors:
  • Sergey Bereg;David Kirkpatrick

  • Affiliations:
  • University of Texas at Dallas, Richardson, TX;University of British Columbia, Main Mall, Vancouver, B.C., Canada

  • Venue:
  • SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
  • Year:
  • 2005

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Abstract

We consider the existence and efficient construction of bounded curvature paths traversing constant-width regions of the plane, called corridors. We make explicit a width threshold τ with the property that (a) all corridors of width at least τ admit a unit-curvature traversal and (b) for any width w