GeoGPT4V: Towards Geometric Multi-modal Large Language Models with Geometric Image Generation
On the map: Multimodal LLMs / vision-language models → Embodied and 3D vision-language models
Abstract (arXiv)
Large language models have seen widespread adoption in math problem-solving. However, in geometry problems that usually require visual aids for better understanding, even the most advanced multi-modal models currently still face challenges in effectively using image information. High-quality data is crucial for enhancing the geometric capabilities of multi-modal models, yet existing open-source datasets and related efforts are either too challenging for direct model learning or suffer from misalignment between text and images. To overcome this issue, we introduce a novel pipeline that leverages GPT-4 and GPT-4V to generate relatively basic geometry problems with aligned text and images, facilitating model learning. We have produced a dataset of 4.9K geometry problems and combined it with 19K open-source data to form our GeoGPT4V dataset. Experimental results demonstrate that the GeoGPT4V dataset significantly improves the geometry performance of various models on the MathVista and MathVision benchmarks. The code is available at https://github.com/Lanyu0303/GeoGPT4V_Project
Key facts. Cited by 31 papers in the map (data through 7 Oct 2026). Placed in Embodied and 3D vision-language models, one of 16 directions in Multimodal LLMs / vision-language models. Builds on 27 of its 43 references that are in the map. First posted on arXiv 17 Jun 2024.
Builds on
27 of 43 references.
References · 27
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
- 2023Improved Baselines with Visual Instruction Tuningcited by 4,362
- 2023Let's Verify Step by Stepcited by 3,598
- 2023InstructBLIP: Towards General-purpose Vision-Language Models with Instruction Tuningcited by 2,855
- 2023InternVL: Scaling up Vision Foundation Models and Aligning for Generic Visual-Linguistic Taskscited by 2,534
- 2021CLIPScore: A Reference-free Evaluation Metric for Image Captioningcited by 2,388
- 2023Qwen-VL: A Versatile Vision-Language Model for Understanding, Localization, Text Reading, and Beyondcited by 2,179
- 2023MMMU: A Massive Multi-discipline Multimodal Understanding and Reasoning Benchmark for Expert AGIcited by 2,044
- 2023MathVista: Evaluating Mathematical Reasoning of Foundation Models in Visual Contextscited by 1,582
- 2022ChartQA: A Benchmark for Question Answering about Charts with Visual and Logical Reasoningcited by 1,449
- 2023LIMA: Less Is More for Alignmentcited by 1,080
- 2023ShareGPT4V: Improving Large Multi-Modal Models with Better Captionscited by 1,000
15 more
- 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 895
- 2024DeepSeek-VL: Towards Real-World Vision-Language Understandingcited by 718
- 2021FILIP: Fine-grained Interactive Language-Image Pre-Trainingcited by 626
- 2023WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instructcited by 618
- 2023mPLUG-Owl2: Revolutionizing Multi-modal Large Language Model with Modality Collaborationcited by 545
- 2024Measuring Multimodal Mathematical Reasoning with MATH-Vision Datasetcited by 516
- 2021Inter-GPS: Interpretable Geometry Problem Solving with Formal Language and Symbolic Reasoningcited by 376
- 2023Monkey: Image Resolution and Text Label Are Important Things for Large Multi-modal Modelscited by 356
- 2024InternLM-XComposer2: Mastering Free-form Text-Image Composition and Comprehension in Vision-Language Large Modelcited by 326
- 2021GeoQA: A Geometric Question Answering Benchmark Towards Multimodal Numerical Reasoningcited by 224
- 2023Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verificationcited by 166
- 2023MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoningcited by 155
- 2024OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Datasetcited by 143
- 2022UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expressioncited by 137
- 2023Automatic Model Selection with Large Language Models for Reasoningcited by 35
Built on by
Citing papers per year: 2024: 5; 2025: 17; 2026: 9.
31 papers.
Sort:
By area:
- 2025Baichuan-Omni-1.5 Technical Reportcited by 107
- 2025Unlocking Multimodal Mathematical Reasoning via Process Reward Modelcited by 64
- 2024Math-PUMA: Progressive Upward Multimodal Alignment to Enhance Mathematical Reasoningcited by 52
- 2025MathCoder-VL: Bridging Vision and Code for Enhanced Multimodal Mathematical Reasoningcited by 45
- 2024MathGLM-Vision: Solving Mathematical Problems with Multi-Modal Large Language Modelcited by 20
- 2025M2-omni: Advancing Omni-MLLM for Comprehensive Modality Support with Competitive Performancecited by 19
- 2025Enhancing the Geometric Problem-Solving Ability of Multimodal LLMs via Symbolic-Neural Integrationcited by 18
- 2025Open Eyes, Then Reason: Fine-grained Visual Mathematical Understanding in MLLMscited by 15
- 2025DeepSketcher: Internalizing Visual Manipulation for Multimodal Reasoningcited by 13
- 2024Diagram Formalization Enhanced Multi-Modal Geometry Problem Solvercited by 11
- 2025Skip-Vision: Efficient and Scalable Acceleration of Vision-Language Models via Adaptive Token Skippingcited by 11
- 2025GeoUni: A Unified Model for Generating Geometry Diagrams, Problems and Problem Solutionscited by 11
19 more
- 2025MathFlow: Enhancing the Perceptual Flow of MLLMs for Visual Mathematical Problemscited by 10
- 2025Towards Geometry Problem Solving in the Large Model Era: A Surveycited by 8
- 2024GeoCoder: Solving Geometry Problems by Generating Modular Code through Vision-Language Modelscited by 5
- 2025From Text to Visuals: Using LLMs to Generate Math Diagrams with Vector Graphicscited by 5
- 2025Generalizable Geometric Image Caption Synthesiscited by 5
- 2025Galaxy Walker: Geometry-aware VLMs For Galaxy-scale Understandingcited by 4
- 2025GeoSDF: Plane Geometry Diagram Synthesis via Signed Distance Fieldcited by 4
- 2025A Survey of Deep Learning for Geometry Problem Solvingcited by 4
- 2025MathSE: Improving Multimodal Mathematical Reasoning via Self-Evolving Iterative Reflection and Reward-Guided Fine-Tuningcited by 2
- 2026Med-Scout: Curing MLLMs' Geometric Blindness in Medical Perception via Geometry-Aware RL Post-Trainingcited by 1
- 2026GeoFocus: Blending Efficient Global-to-Local Perception for Multimodal Geometry Problem-Solvingcited by 1
- 2026GeoChallenge: A Multi-Answer Multiple-Choice Benchmark for Geometric Reasoning with Diagramscited by 1
- 2026GeoSym127K: Scalable Symbolically-verifiable Synthesis for Multimodal Geometric Reasoningcited by 1
- 2024AI's Spatial Intelligence: Evaluating AI's Understanding of Spatial Transformations in PSVT:R and Augmented Realitycited by 0
- 2026A Survey of Multimodal Mathematical Reasoning: From Perception, Alignment to Reasoningcited by 0
- 2026BiNSGPS: Geometry Problem Solving via Bidirectional Neuro-Symbolic Interactioncited by 0
- 2026VeriGeo: Controllable Geometry Question Generation with Numerical and Analytical Verificationcited by 0
- 2026FormalAnalyticGeo: A Neural-Symbolic Based Framework for Multimodal Analytic Geometry Problem Generationcited by 0
- 2026Euclid-Omni : A Unified Neuro-Symbolic Framework for Plane Geometrycited by 0
- 2026FormalAnalyticGeo: A Neural-Symbolic Based Framework for Multimodal Analytic Geometry Problem Generation14 Jul 2026
- 2026Euclid-Omni : A Unified Neuro-Symbolic Framework for Plane Geometry17 Jun 2026
- 2026VeriGeo: Controllable Geometry Question Generation with Numerical and Analytical Verification12 Jun 2026
- 2026BiNSGPS: Geometry Problem Solving via Bidirectional Neuro-Symbolic Interaction3 Jun 2026
- 2026GeoSym127K: Scalable Symbolically-verifiable Synthesis for Multimodal Geometric Reasoning10 May 2026
- 2026A Survey of Multimodal Mathematical Reasoning: From Perception, Alignment to Reasoning9 Mar 2026
- 2026GeoChallenge: A Multi-Answer Multiple-Choice Benchmark for Geometric Reasoning with Diagrams25 Feb 2026
- 2026GeoFocus: Blending Efficient Global-to-Local Perception for Multimodal Geometry Problem-Solving9 Feb 2026
- 2026Med-Scout: Curing MLLMs' Geometric Blindness in Medical Perception via Geometry-Aware RL Post-Training30 Jan 2026
- 2025MathSE: Improving Multimodal Mathematical Reasoning via Self-Evolving Iterative Reflection and Reward-Guided Fine-Tuning10 Nov 2025
- 2025DeepSketcher: Internalizing Visual Manipulation for Multimodal Reasoning30 Sep 2025
- 2025Generalizable Geometric Image Caption Synthesis18 Sep 2025
19 more
- 2025A Survey of Deep Learning for Geometry Problem Solving16 Jul 2025
- 2025GeoSDF: Plane Geometry Diagram Synthesis via Signed Distance Field16 Jun 2025
- 2025Towards Geometry Problem Solving in the Large Model Era: A Survey3 Jun 2025
- 2025MathCoder-VL: Bridging Vision and Code for Enhanced Multimodal Mathematical Reasoning15 May 2025
- 2025Enhancing the Geometric Problem-Solving Ability of Multimodal LLMs via Symbolic-Neural Integration17 Apr 2025
- 2025GeoUni: A Unified Model for Generating Geometry Diagrams, Problems and Problem Solutions14 Apr 2025
- 2025Skip-Vision: Efficient and Scalable Acceleration of Vision-Language Models via Adaptive Token Skipping26 Mar 2025
- 2025Galaxy Walker: Geometry-aware VLMs For Galaxy-scale Understanding24 Mar 2025
- 2025MathFlow: Enhancing the Perceptual Flow of MLLMs for Visual Mathematical Problems19 Mar 2025
- 2025From Text to Visuals: Using LLMs to Generate Math Diagrams with Vector Graphics10 Mar 2025
- 2025M2-omni: Advancing Omni-MLLM for Comprehensive Modality Support with Competitive Performance26 Feb 2025
- 2025Baichuan-Omni-1.5 Technical Report26 Jan 2025
- 2025Open Eyes, Then Reason: Fine-grained Visual Mathematical Understanding in MLLMs11 Jan 2025
- 2025Unlocking Multimodal Mathematical Reasoning via Process Reward Model8 Jan 2025
- 2024AI's Spatial Intelligence: Evaluating AI's Understanding of Spatial Transformations in PSVT:R and Augmented Reality9 Nov 2024
- 2024GeoCoder: Solving Geometry Problems by Generating Modular Code through Vision-Language Models17 Oct 2024
- 2024MathGLM-Vision: Solving Mathematical Problems with Multi-Modal Large Language Model10 Sep 2024
- 2024Diagram Formalization Enhanced Multi-Modal Geometry Problem Solver6 Sep 2024
- 2024Math-PUMA: Progressive Upward Multimodal Alignment to Enhance Mathematical Reasoning16 Aug 2024
- 2025Unlocking Multimodal Mathematical Reasoning via Process Reward Modelcited by 64
- 2024Math-PUMA: Progressive Upward Multimodal Alignment to Enhance Mathematical Reasoningcited by 52
- 2025MathCoder-VL: Bridging Vision and Code for Enhanced Multimodal Mathematical Reasoningcited by 45
- 2024MathGLM-Vision: Solving Mathematical Problems with Multi-Modal Large Language Modelcited by 20
- 2025Enhancing the Geometric Problem-Solving Ability of Multimodal LLMs via Symbolic-Neural Integrationcited by 18
- 2025Open Eyes, Then Reason: Fine-grained Visual Mathematical Understanding in MLLMscited by 15
- 2025DeepSketcher: Internalizing Visual Manipulation for Multimodal Reasoningcited by 13
- 2024Diagram Formalization Enhanced Multi-Modal Geometry Problem Solvercited by 11
- 2025Towards Geometry Problem Solving in the Large Model Era: A Surveycited by 8
- 2024GeoCoder: Solving Geometry Problems by Generating Modular Code through Vision-Language Modelscited by 5
- 2025Generalizable Geometric Image Caption Synthesiscited by 5
- 2025A Survey of Deep Learning for Geometry Problem Solvingcited by 4
12 most cited of 18 All 18 (JSON)
- 2026FormalAnalyticGeo: A Neural-Symbolic Based Framework for Multimodal Analytic Geometry Problem Generation14 Jul 2026
- 2026VeriGeo: Controllable Geometry Question Generation with Numerical and Analytical Verification12 Jun 2026
- 2026GeoSym127K: Scalable Symbolically-verifiable Synthesis for Multimodal Geometric Reasoning10 May 2026
- 2026A Survey of Multimodal Mathematical Reasoning: From Perception, Alignment to Reasoning9 Mar 2026
- 2026GeoChallenge: A Multi-Answer Multiple-Choice Benchmark for Geometric Reasoning with Diagrams25 Feb 2026
- 2025MathSE: Improving Multimodal Mathematical Reasoning via Self-Evolving Iterative Reflection and Reward-Guided Fine-Tuning10 Nov 2025
- 2025DeepSketcher: Internalizing Visual Manipulation for Multimodal Reasoning30 Sep 2025
- 2025Generalizable Geometric Image Caption Synthesis18 Sep 2025
- 2025A Survey of Deep Learning for Geometry Problem Solving16 Jul 2025
- 2025Towards Geometry Problem Solving in the Large Model Era: A Survey3 Jun 2025
- 2025MathCoder-VL: Bridging Vision and Code for Enhanced Multimodal Mathematical Reasoning15 May 2025
- 2025Enhancing the Geometric Problem-Solving Ability of Multimodal LLMs via Symbolic-Neural Integration17 Apr 2025
12 newest of 18 All 18 (JSON)
- 2025Skip-Vision: Efficient and Scalable Acceleration of Vision-Language Models via Adaptive Token Skippingcited by 11
- 2025MathFlow: Enhancing the Perceptual Flow of MLLMs for Visual Mathematical Problemscited by 10
- 2025Galaxy Walker: Geometry-aware VLMs For Galaxy-scale Understandingcited by 4
- 2026Med-Scout: Curing MLLMs' Geometric Blindness in Medical Perception via Geometry-Aware RL Post-Trainingcited by 1
- 2026GeoFocus: Blending Efficient Global-to-Local Perception for Multimodal Geometry Problem-Solvingcited by 1
- 2026GeoFocus: Blending Efficient Global-to-Local Perception for Multimodal Geometry Problem-Solving9 Feb 2026
- 2026Med-Scout: Curing MLLMs' Geometric Blindness in Medical Perception via Geometry-Aware RL Post-Training30 Jan 2026
- 2025Skip-Vision: Efficient and Scalable Acceleration of Vision-Language Models via Adaptive Token Skipping26 Mar 2025
- 2025Galaxy Walker: Geometry-aware VLMs For Galaxy-scale Understanding24 Mar 2025
- 2025MathFlow: Enhancing the Perceptual Flow of MLLMs for Visual Mathematical Problems19 Mar 2025
- 2025Baichuan-Omni-1.5 Technical Reportcited by 107
- 2025M2-omni: Advancing Omni-MLLM for Comprehensive Modality Support with Competitive Performancecited by 19
- 2025GeoUni: A Unified Model for Generating Geometry Diagrams, Problems and Problem Solutionscited by 11
- 2025From Text to Visuals: Using LLMs to Generate Math Diagrams with Vector Graphicscited by 5
- 2025GeoSDF: Plane Geometry Diagram Synthesis via Signed Distance Fieldcited by 4
- 2024AI's Spatial Intelligence: Evaluating AI's Understanding of Spatial Transformations in PSVT:R and Augmented Realitycited by 0
- 2026BiNSGPS: Geometry Problem Solving via Bidirectional Neuro-Symbolic Interactioncited by 0
- 2026Euclid-Omni : A Unified Neuro-Symbolic Framework for Plane Geometrycited by 0
- 2026Euclid-Omni : A Unified Neuro-Symbolic Framework for Plane Geometry17 Jun 2026
- 2026BiNSGPS: Geometry Problem Solving via Bidirectional Neuro-Symbolic Interaction3 Jun 2026
- 2025GeoSDF: Plane Geometry Diagram Synthesis via Signed Distance Field16 Jun 2025
- 2025GeoUni: A Unified Model for Generating Geometry Diagrams, Problems and Problem Solutions14 Apr 2025
- 2025From Text to Visuals: Using LLMs to Generate Math Diagrams with Vector Graphics10 Mar 2025
- 2025M2-omni: Advancing Omni-MLLM for Comprehensive Modality Support with Competitive Performance26 Feb 2025
- 2025Baichuan-Omni-1.5 Technical Report26 Jan 2025
- 2024AI's Spatial Intelligence: Evaluating AI's Understanding of Spatial Transformations in PSVT:R and Augmented Reality9 Nov 2024
Similar, not cited
Close in wording, no citation either way
- 2023G-LLaVA: Solving Geometric Problem with Multi-Modal Large Language Model
- 2024Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring
- 2024GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training
- 2024Geo-LLaVA: A Large Multi-Modal Model for Solving Geometry Math Problems with Meta In-Context Learning
- 2025GeoThought: A Dataset for Enhancing Mathematical Geometry Reasoning in Vision-Language Models
- 2025GeoFM: Enhancing Geometric Reasoning of MLLMs via Synthetic Data Generation through Formal Language
- 2023GeomVerse: A Systematic Evaluation of Large Models for Geometric Reasoning
- 2026GeoTikzBridge: Advancing Multimodal Code Generation for Geometric Perception and Reasoning