English

An Algorithm for Finding Convex Hulls of Planar Point Sets

Computational Geometry 2013-09-02 v1

Abstract

This paper presents an alternate choice of computing the convex hulls (CHs) for planar point sets. We firstly discard the interior points and then sort the remaining vertices by x- / y- coordinates separately, and later create a group ofquadrilaterals (e-Quads) recursively according to the sequences ofthe sorted lists of points. Finally, the desired CH is built based on a simple polygon derived from all e-Quads. Besides the preprocessing for original planar point sets, this algorithm has another mechanism of discarding interior point when form e-Quads and assemble the simple polygon. Compared with three popular CH algorithms, the proposed algorithm can generate CHs faster thanthe three but has a penalty in space cost.

Keywords

Cite

@article{arxiv.1212.6043,
  title  = {An Algorithm for Finding Convex Hulls of Planar Point Sets},
  author = {Gang Mei and John C. Tipper and Nengxiong Xu},
  journal= {arXiv preprint arXiv:1212.6043},
  year   = {2013}
}

Comments

Proceedings of IEEE Conference, ICCSNT 2012, in Press

R2 v1 2026-06-21T23:00:03.102Z