PeijieWang/GDP29K

Geoparsing: Diagram Parsing for Plane and Solid Geometry with a Unified Formal Language

[🌐 Homepage] [💻 Github] [🤗 Huggingface Dataset] [🤗 Huggingface Model] [📖 Paper]

GDP-29K Dataset

Overview

GDP-29K is a large-scale geometry diagram parsing dataset comprising both plane geometry and solid geometry. It is designed to advance research in multimodal geometric reasoning and diagram understanding.

Split	PGDP (Printed)	PGDP (Handwritten)	SGDP	Total
Train	13,350	4,516	8,021	25,887
Test	1,599	500	896	2,996
Total	14,949	5,016	8,917	28,882

---

Dataset Structure

GDP-29K/
├── PGDP/
│   ├── printed/
│   │   └── image/
│   ├── handwritten/
│   │   └── image/
│   ├── PGDP_train.json
│   └── PGDP_test.json
├── SGDP/
│   ├── image/
│   ├── SGDP_train.json
│   └── SGDP_test.json
├── GDP_train.json
├── GDP_test.json
└── README.md

---

Annotation Format

Plane Geometry - Printed

{
  "diagram": "PGDP/printed/image/xxx.png",
  "style": "printed",
  "split": "train",
  "category": "plane geometry",
  "points": ["A", "B", "C"],
  "lines": ["line A B C"],
  "circles": ["\\odot O lieson A B C"],
  "semantics": ["AB \\perp CD on E", "AB = 5", "m \\angle ABC = 60"]
}

Plane Geometry - Handwritten

{
  "diagram": "PGDP/handwritten/image/xxx.png",
  "style": "handwritten",
  "split": "train",
  "category": "plane geometry",
  "points": ["A", "B", "C"],
  "lines": ["line A B C"],
  "circles": ["\\odot O lieson A B C"],
  "semantics": ["AB \\parallel CD", "AB = 5", "m \\angle ABC = 60"]
}

Solid Geometry

{
  "diagram": "SGDP/image/xxx.png",
  "split": "train",
  "category": "solid geometry",
  "structure": ["Pyramid P-ABCD"],
  "points": ["P", "A", "B", "C", "D"],
  "lines": ["line A B", "line B C", "line P A"],
  "planes": ["plane A B C D", "plane P A B", "plane P B C"],
  "circles": [],
  "semantics": []
}

---

Field Descriptions

Common Fields

Field	Type	Description
diagram	string	Relative path to the image file
split	string	Dataset split: train or test
category	string	Geometry type: plane geometry or solid geometry
points	list	Point identifiers
lines	list	Line definitions
circles	list	Circle definitions
semantics	list	Geometric constraints and metric relations

PGDP-specific Fields

Field	Type	Description
style	string	Diagram style: printed or handwritten

SGDP-specific Fields

Field	Type	Description
structure	list	Top-level solid type
planes	list	Planar faces of the solid structure

---

Formal Language Specification

Primitives

Syntax	Description
line A B C	A line passing through points A, B, C in order
line k lieson A B C	A named line passing through points A, B, C
\odot O lieson A B C	Circle centered at O, passing through A, B, C
plane A B C D	A plane defined by vertices A, B, C, D
Pyramid P-ABCD	A pyramid with apex P and base ABCD
Cube ABCD-A1B1C1D1	A cube defined by bottom and top faces
Prism ABC-A1B1C1	A prism defined by bottom and top faces

Semantic Relations

Syntax	Description
AB \perp CD on E	AB is perpendicular to CD, intersecting at E
AB \parallel CD	AB is parallel to CD
AB = 5	Length of segment AB is 5
m \angle ABC = 60	Measure of angle ABC is 60°
m \widehat{AB} = 90	Arc measure of AB is 90°

---

Usage Example

import json

with open("GDP_train.json", "r", encoding="utf-8") as f:
    train_data = json.load(f)

with open("GDP_test.json", "r", encoding="utf-8") as f:
    test_data = json.load(f)

pgdp_train = [item for item in train_data if item["category"] == "plane geometry"]
sgdp_train = [item for item in train_data if item["category"] == "solid geometry"]

printed_samples = [item for item in pgdp_train if item["style"] == "printed"]
handwritten_samples = [item for item in pgdp_train if item["style"] == "handwritten"]

print(f"Total train:        {len(train_data)}")
print(f"Total test:         {len(test_data)}")
print(f"PGDP - Printed:     {len(printed_samples)}")
print(f"PGDP - Handwritten: {len(handwritten_samples)}")
print(f"SGDP:               {len(sgdp_train)}")

---

Citation

@article{wang2026geoparsing,
  title={Geoparsing: Diagram Parsing for Plane and Solid Geometry with a Unified Formal Language},
  author={Wang, Peijie and Zhang, Ming-Liang and Cao, Jun and Deng, Chao and Ran, Dekang and Sun, Hongda and Bu, Pi and Zhang, Xuan and Wang, Yingyao and Song, Jun and Zheng, Bo and Yin, Fei and Liu, Cheng-Lin},
  journal={https://arxiv.org/abs/2604.11600},
  year={2026}
}