English

The Shortest Path with Increasing Chords in a Simple Polygon

Computational Geometry 2022-02-25 v1

Abstract

We study the problem of finding the shortest path with increasing chords in a simple polygon. A path has increasing chords if and only if for any points a, b, c, and d that lie on the path in that order, |ad| >= |bc|. In this paper we show that the shortest path with increasing chords is unique and present an algorithm to construct it.

Cite

@article{arxiv.2202.12131,
  title  = {The Shortest Path with Increasing Chords in a Simple Polygon},
  author = {Mart Hagedoorn and Irina Kostitsyna},
  journal= {arXiv preprint arXiv:2202.12131},
  year   = {2022}
}
R2 v1 2026-06-24T09:52:34.264Z