Computational Geometry:
Solving Hard Optimization Problems

Geometric Optimization Challenges

We host optimization challenges for computational geometry problems. The challenges are part of CG Week.

News

11/04/2022
5:42 p.m.

We have slightly changed the instance set. Please make sure you download a new version of the instance ZIP archive!

08/31/2022
2 p.m.

CG:SHOP 2023

We are happy to announce the Fifth Computational Geometry Challenge,  as part of CG Week in Dallas, TX, USA,  June 12-15, 2023. As in previous years, the objective will be to compute good solutions  to instances of a difficult geometric optimization problem. The specific problem chosen for the …

06/09/2022
5:10 p.m.

Call for Problems

Since 2019, the Computational Geometry Challenge has been part of CG Week. The objective is to compute good solutions for instances of a challenging geometric optimization problem. The contributors with the most outstanding solutions are recognized at CG Week and invited to present their results, both at …


Active Competitions

Ends at: Jan. 28, 2023, 11:59 a.m. UTC
CG:SHOP 2023
Organized by: Sándor Fekete , Phillip Keldenich , Dominik Krupke , Stefan Schirra

The Fifth Geometric Optimization Challenge is part of CG Week 2023.

Review the problem description for more details.

Past Competitions

Ended on: Jan. 20, 2022, 11:59 a.m. UTC
CG:SHOP 2022
Organized by: Sándor Fekete , Phillip Keldenich , Dominik Krupke , Stefan Schirra

The Fourth Geometric Optimization Challenge is part of CG Week in Berlin, Germany, June 6-10, 2022. The task is to solve the Minimum Partition into Plane Subgraphs Problem.

Review the problem description for more details.
Ended on: Feb. 16, 2021, 11:59 a.m. UTC
CG:SHOP 2021
Organized by: Sándor Fekete , Phillip Keldenich , Dominik Krupke , Joseph S. B. Mitchell

Third CG:SHOP competition as part of CG Week 2021. The problem is to compute a set of collision-free parallel motions for unit-square robots on a pixel grid.

Review the problem description for more details.
Ended on: Feb. 14, 2020, 11:59 p.m. UTC
CG:SHOP 2020
Organized by: Erik Demaine , Sándor Fekete , Phillip Keldenich , Dominik Krupke , Joseph S. B. Mitchell

The Second Geometric Optimization Challenge is part of CG Week in Zurich, Switzerland, June 22-26, 2020. The task is to solve the Minimum Convex Partition Problem, which asks for a set of edges connecting a given set of points which partitions the convex hull of the points into the minimum number of convex regions.

Review the problem description for more details.
Ended on: May 31, 2019, midnight UTC
CG:SHOP 2019
Organized by: Erik Demaine , Sándor Fekete , Joseph S. B. Mitchell

First CG:SHOP competition as part of a workshop at CG Week 2019. The problem was to compute polygons with minimal or maximal area for a given point set.

Review the problem description for more details.