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Zeitschrift für Operations-Research

, Volume 32, Issue 3–4, pp 145–164 | Cite as

Visibility graphs and obstacle-avoiding shortest paths

  • H. Alt
  • E. Welzl
Article

Summary

Two closely related problems in Computational Geometry are determining visibility graphs and shortest paths in a two- or three-dimensional environment containing obstacles. Applications are within Computer Graphics and Robotics. We give a survey on recent research done on efficient algorithms for these problems.

Key words

Visibility Graphs Shortest Paths Computational Geometry Efficient Algorithms 

Zusammenfassung

Zwei eng miteinander verwandte Probleme in der algorithmischen Geometrie sind die Bestimmung von Sichtbarkeitsgraphen und kürzesten Wegen in einer zwei- oder dreidimensionalen Umgebung mit Hindernissen. Anwendungen finden sich insbesondere auf den Gebieten Computergrafik und Robotik. Diese Arbeit gibt einen Überblick über kürzlich erschienene Arbeiten zum Entwurf effizienter Algorithmen für diese Probleme.

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Copyright information

© Physica-Verlag 1988

Authors and Affiliations

  • H. Alt
    • 1
  • E. Welzl
    • 1
  1. 1.Fachbereich MathematikFreie Universität BerlinBerlin 33FRG

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