# Connectability problems

Conference paper

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## Abstract

In this paper we define a general class of problems in computational geometry that we call *connectability problems*. Connectability problems involve connecting objects by some kind of connections, avoiding obstacles. This includes many different types of problems like intersection problems, visibility problems, etc. Studying these problems in a general framework might lead to general solutions. Some solutions are presented. In particular, an *O*(*n* log *n*loglog *n*) solution is given for determining all pairs of points in a set that can be connected with an axis-parallel rectangle, avoiding a set of obstacle points.

## Keywords

Line Segment Voronoi Diagram Computational Geometry Priority Queue Left Endpoint
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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## References

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## Copyright information

© Springer-Verlag Berlin Heidelberg 1988