Schematisation of Tree Drawings

  • Joachim Gudmundsson
  • Marc van Kreveld
  • Damian Merrick
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4372)

Abstract

Given a tree T spanning a set of points \({\mathcal S}\) in the plane, we study the problem of drawing T using only line segments aligned with a fixed set of directions \({\mathcal C}\). The vertices in the drawing must lie within a given distance r of each original point \(p \in {\mathcal S}\), and an objective function counting the number of bends must be minimised. We propose five versions of this problem using different objective functions, and algorithms to solve them. This work has potential applications in geographic map schematisation and metro map layout.

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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Joachim Gudmundsson
    • 1
  • Marc van Kreveld
    • 2
  • Damian Merrick
    • 1
    • 3
  1. 1.National ICT Australia, SydneyAustralia
  2. 2.Department of Computer Science, Utrecht UniversityThe Netherlands
  3. 3.School of Information Technologies, University of SydneyAustralia

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