# A linear time algorithm for computing the shortest line segment from which a polygon is weakly externally visible

Conference paper

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## Abstract

A simple polygon P is said to be weakly externally visible from a line segment if the line segment is outside P and if for every point x on the boundary of P there is a point y on the line segment such that the interior of the line segment xy does not intersect the interior of P. In this paper a linear time algorithm is proposed for computing the shortest line segment from which a simple polygon is weakly externally visible. This is done by a suitable generalization of a linear time algorithm which solves the same problem for a convex polygon.

## Keywords

Line Segment Convex Hull Convex Polygon Linear Time Algorithm Simple Polygon
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## References

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## Copyright information

© Springer-Verlag Berlin Heidelberg 1991