Manhattonian proximity in a simple polygon

  • Authors:
  • Rolf Klein;Andrzej Lingas

  • Affiliations:
  • -;-

  • Venue:
  • SCG '92 Proceedings of the eighth annual symposium on Computational geometry
  • Year:
  • 1992

Quantified Score

Hi-index 0.00

Visualization

Abstract

Let P be a simple planar polygon. We present a linear worst-case time algorithm for constructing the bounded Voronoi diagram of P in the Manhattan metric, where each point z in P belongs to the region of the closest vertex of P that is visible from z. Among other consequences, the minimal spanning tree of the vertices in the Manhattan metric that is contained in P can be computed within optimal linear time.