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Minimum Non-Obtuse Triangulations: The CG:SHOP Challenge 2025
April 06, 2025 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
SΓ‘ndor P. Fekete, Phillip Keldenich, Dominik Krupke, Stefan Schirra
arXiv ID
2504.04412
Category
cs.CG: Computational Geometry
Cross-listed
cs.DS
Citations
0
Venue
arXiv.org
Last Checked
3 months ago
Abstract
We give an overview of the 2025 Computational Geometry Challenge targeting the problem Minimum Non-Obtuse Triangulation: Given a planar straight-line graph G in the plane, defined by a set of points in the plane (representing vertices) and a set of non-crossing line segments connecting them (representing edges); the objective is to find a feasible non-obtuse triangulation that uses a minimum number of Steiner points. If no triangulation without obtuse triangles is found, the secondary objective is to minimize the number of obtuse triangles in the triangulation.
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