AI RESEARCH

CurveBench: A Benchmark for Exact Topological Reasoning over Nested Jordan Curves

arXiv CS.LG

We introduce CurveBench, a benchmark for hierarchical topological reasoning from visual input. CurveBench consists of \textbf{756 images} of pairwise non-intersecting Jordan curves across easy, polygonal, topographic-inspired, maze-like, and dense counting configurations. We formulate the task as structured prediction: given an image, a model must recover the full rooted containment tree induced