Robust Computation of a Minimum Area Convex Polygon Stabber of a Set of Isothetic Line Segments

TL;DR

This paper examines the algorithmic details of an existing quadratic-time method for finding the smallest convex polygon that intersects all given isothetic line segments.

Contribution

It provides an in-depth analysis and engineering perspective on a known O(n^2) algorithm for computing a minimum-area convex polygon stabber.

Findings

Detailed algorithm engineering insights

Validation of the O(n^2) algorithm's efficiency

Potential improvements for practical implementation

Abstract

In this paper, we discuss the algorithm engineering aspects of an O(n^2)-time algorithm [6] for computing a minimum-area convex polygon that intersects a set of n isothetic line segments.