mlsanityData to 14 Oct 2026

Plane Geometry Problem Solving with Multi-modal Reasoning: A Survey

arXiv 2505.14340 ↗First posted 20 May 2025cs.CV cs.LGcited by 2

On the map: LLM reasoning → Spatial and embodied reasoning

also in 1 more
Abstract (arXiv)

Plane geometry problem solving (PGPS) has recently gained significant attention as a benchmark to assess the multi-modal reasoning capabilities of large vision-language models. Despite the growing interest in PGPS, the research community still lacks a comprehensive overview that systematically synthesizes recent work in PGPS. To fill this gap, we present a survey of existing PGPS studies. We first categorize PGPS methods into an encoder-decoder framework and summarize the corresponding output formats used by their encoders and decoders. Subsequently, we classify and analyze these encoders and decoders according to their architectural designs. Finally, we outline major challenges and promising directions for future research. In particular, we discuss the hallucination issues arising during the encoding phase within encoder-decoder architectures, as well as the problem of data leakage in current PGPS benchmarks.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Placed in Spatial and embodied reasoning, one of 17 directions in LLM reasoning. Builds on 27 of its 111 references that are in the map. First posted on arXiv 20 May 2025.

Builds on

27 of 111 references.

Closest ancestors · 3

Same direction, newest first

  1. 2025TrustGeoGen: Formal-Verified Data Engine for Trustworthy Multi-modal Geometric Problem Solving22 Apr
  2. 2025GeoSense: Evaluating Identification and Application of Geometric Principles in Multimodal Reasoning17 Apr
  3. 2024FGeo-HyperGNet: Geometric Problem Solving Integrating FormalGeo Symbolic System and Hypergraph Neural Network18 Feb

Other references · 24

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  4. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,361
  5. 2024SAM 2: Segment Anything in Images and Videoscited by 2,863
  6. 2014Empirical Evaluation of Gated Recurrent Neural Networks on Sequence Modelingcited by 2,367
  7. 2025s1: Simple test-time scalingcited by 1,341
  8. 2024Are We on the Right Way for Evaluating Large Vision-Language Models?cited by 914
  9. 2023Set-of-Mark Prompting Unleashes Extraordinary Visual Grounding in GPT-4Vcited by 299
  10. 2025Perception, Reason, Think, and Plan: A Survey on Large Multimodal Reasoning Modelscited by 90
  11. 2024VLSBench: Unveiling Visual Leakage in Multimodal Safetycited by 63
  12. 2024A Survey of Mathematical Reasoning in the Era of Multimodal Large Language Model: Benchmark, Method & Challengescited by 55
12 more
  1. 2024Visual Prompting in Multimodal Large Language Models: A Surveycited by 54
  2. 2024VisOnlyQA: Large Vision Language Models Still Struggle with Visual Perception of Geometric Informationcited by 39
  3. 2025Why Vision Language Models Struggle with Visual Arithmetic? Towards Enhanced Chart and Geometry Understandingcited by 24
  4. 2024Polymath: A Challenging Multi-modal Mathematical Reasoning Benchmarkcited by 22
  5. 2025Open Eyes, Then Reason: Fine-grained Visual Mathematical Understanding in MLLMscited by 16
  6. 2024Chimera: Improving Generalist Model with Domain-Specific Expertscited by 11
  7. 2025Benchmarking Multimodal Mathematical Reasoning with Explicit Visual Dependencycited by 11
  8. 2025Pi-GPS: Enhancing Geometry Problem Solving by Unleashing the Power of Diagrammatic Informationcited by 10
  9. 2025GeoDANO: Geometric VLM with Domain Agnostic Vision Encodercited by 6
  10. 2025Low-hallucination Synthetic Captions for Large-Scale Vision-Language Model Pre-trainingcited by 5
  11. 2024Is Your Text-to-Image Model Robust to Caption Noise?cited by 3
  12. 2025DomainCQA: Crafting Knowledge-Intensive QA from Domain-Specific Chartscited by 3

Built on by

Cited by year

Citing papers per year: 2025: 2.

2 papers.

  1. 2025GeoSketch: A Neural-Symbolic Approach to Geometric Multimodal Reasoning with Auxiliary Line Construction and Affine Transformationcited by 6
  2. 2025A Survey of Deep Learning for Geometry Problem Solvingcited by 4

Similar, not cited

Close in wording, no citation either way

  1. 2026Concise Geometric Description as a Bridge: Unleashing the Potential of LLM for Plane Geometry Problem Solving
  2. 2024Fuse, Reason and Verify: Geometry Problem Solving with Parsed Clauses from Diagram
  3. 2026Reactivating Test-Time Scaling for Plane Geometry Problem Solving
  4. 2024GeoCoder: Solving Geometry Problems by Generating Modular Code through Vision-Language Models
  5. 2025GeoBench: Rethinking Multimodal Geometric Problem-Solving via Hierarchical Evaluation
  6. 2025Euclid's Gift: Enhancing Spatial Perception and Reasoning in Vision-Language Models via Geometric Surrogate Tasks
  7. 2023GeomVerse: A Systematic Evaluation of Large Models for Geometric Reasoning
  8. 2023A Multi-Modal Neural Geometric Solver with Textual Clauses Parsed from Diagram