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
6:07 p.m.
First Announcement: CG Challenge 2025
We are happy to announce the Seventh Computational Geometry Challenge, as part of CG Week in Kanazawa, Japan, June 23-27, 2025.
As in previous years, the objective will be to compute good solutions to instances of a difficult geometric optimization problem. The specific problem chosen …
9:44 a.m.
CG:SHOP Challenge 2025: Call for Problems
Since 2019, the CG:SHOP 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, …
10:51 a.m.
With only a few days left, participants are reminded of the approaching submission deadline. If you face any issues during submission, please email us with your team's name and a hash of your solution files. Once you have the files ready, follow up with a link for us to access them.
Announced Competitions
CG:SHOP 2025
Organized by: Sándor Fekete , Phillip Keldenich , Dominik Krupke , Stefan Schirra
The Seventh Geometric Optimization Challenge is part of CG Week 2025.
Review the problem description for more details.Past Competitions
CG:SHOP 2024
Organized by: Sándor Fekete , Phillip Keldenich , Dominik Krupke , Stefan Schirra
The Sixth Geometric Optimization Challenge is part of CG Week 2024.
Review the problem description for more details.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.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.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.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.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.