Optimal Guard Placement Problem Under L-Visibility

  • Debabrata Bardhan
  • Sasanka Roy
  • Sandip Das
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3980)


Two points a and b in the presence of polygonal obstacles are L-visible if the length of the shortest path avoiding obstacles is no more than L. For a given convex polygon Q, Gewali et al [4]. addressed the guard placement problem on the exterior boundary that will cover the maximum area exterior to the polygon under L-visibility. They proposed a linear time algorithm for some given value of L. When the length L is greater than half of the perimeter, they declared that problem as open. Here we address that open problem and present an algorithm whose time complexity is linear in number of vertices of the polygon.


Convex Polygon Clockwise Direction Steiner Point Linear Time Algorithm Sector Angle 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Debabrata Bardhan
    • 1
  • Sasanka Roy
    • 2
  • Sandip Das
    • 3
  1. 1.LSI Logic India Pvt. Ltd.KolkataIndia
  2. 2.Indian Statistical InstituteKolkataIndia
  3. 3.Institut de MathematiquesUniversite de BourgogneDijonFrance

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