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Paper · arXiv

Draw2Think: Harnessing Geometry Reasoning through Constraint Engine Interaction

Vision-language models solve geometry problems with rising accuracy, yet their intermediate states remain latent and unverifiable: a relation expressed in textual reasoning or drawing code carries no guarantee that a constraint-satisfying configuration realizes it. We observe that existing externalization methods based on rendered pixels or one-shot scripts fail to provide exact, per-action geometric guarantees. Enforcing geometric relations by algebraic definition closes this gap: the workspace becomes a constraint-checked evolving canvas. We present Draw2Think, a framework that recasts geometric reasoning from latent spatial inference into agentic interaction with the GeoGebra constrain...

AuthorsJuncheng Hu, Jiawei Du, Xin Zhang et al.
Primary categorycs.CV
Published20 May 2026
Last updated at source20 May 2026
cs.CVcs.CL
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