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Rectilinear paths among rectilinear obstacles

  • D. T. Lee
Session 1: Invited Papers
Part of the Lecture Notes in Computer Science book series (LNCS, volume 650)

Abstract

Given a set of obstacles and two distinguished points in the plane the problem of finding a collision-free path subject to a certain optimization function is a fundamental problem that arises in many fields, such as motion planning in robotics, wire routing in VLSI and logistics in operations research. In this survey we emphasize its applications to VLSI design and limit ourselves to the rectilinear domain in which the goal path to be computed and the underlying obstacles are all rectilinearly oriented, i.e., the segments are either horizontal or vertical. We consider different routing environments, and various optimization criteria pertaining to VLSI design, and provide a survey of results that have been developed in the past, present current results and give open problems for future research.

Keywords

Short Path Computational Geometry Query Point Simple Polygon Space Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • D. T. Lee
    • 1
  1. 1.Department of Electrical Engineering and Computer ScienceNorthwestern UniversityEvanston

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