3 papers
cs.CV2026
CurveBench: A Benchmark for Exact Topological Reasoning over Nested Jordan Curves
Amirreza Mohseni, Mona Mohammadi, Morteza Saghafian +1
We introduce CurveBench, a benchmark for hierarchical topological reasoning from visual input. CurveBench consists of \textbf{756 images} of pairwise non-intersecting Jordan curves…
cs.CG2024
Approximating Simplet Frequency Distribution for Simplicial Complexes
Hamid Beigy, Mohammad Mahini, Salman Qadami +1
Simplets, constituting elementary units within simplicial complexes (SCs), serve as foundational elements for the structural analysis of SCs. Previous efforts have focused on the e…
cs.CG2024
Grid Peeling of Parabolas
Günter Rote, Moritz Rüber, Morteza Saghafian
Grid peeling is the process of repeatedly removing the convex hull vertices of the grid-points that lie inside a given convex curve. It has been conjectured that, for a more and mo…