Area-Optimal Simple Polygonalizations: The CG Challenge 2019

Abstract

We give an overview of theoretical and practical aspects of finding a simple polygon of minimum (Min-Area) or maximum (Max-Area) possible area for a given set ofnpoints in the plane. Both problems are known to beNP-hard and were the subject of the 2019 Computational Geometry Challenge, which presented the quest of finding good solutions to more than 200 instances, ranging fromn= 10 all the way ton= 1, 000, 000.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 04, 2022
Source ID
10.1145/3504000

Entities

People

  • Dominik Krupke
  • Erik D. Demaine
  • Joseph S. B. Mitchell
  • Phillip Keldenich
  • Sándor P. Fekete

Organizations

  • Defense Advanced Research Projects Agency
  • Massachusetts Institute of Technology
  • National Science Foundation
  • Sandia National Laboratories
  • Stony Brook University
  • TU Braunschweig

Tags

Readers

  • Geotechnical Engineering.
  • Integrated Circuit Design and Technology.
  • Systems Analysis and Design