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

Fuente: arXiv
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Main Authors: Cho, Seunghyuk, Qin, Zhenyue, Liu, Yang, Choi, Youngbin, Lee, Seungbeom, Kim, Dongwoo
Format: Preprint
Published: 2025
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author Cho, Seunghyuk
Qin, Zhenyue
Liu, Yang
Choi, Youngbin
Lee, Seungbeom
Kim, Dongwoo
author_facet Cho, Seunghyuk
Qin, Zhenyue
Liu, Yang
Choi, Youngbin
Lee, Seungbeom
Kim, Dongwoo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_14340
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Plane Geometry Problem Solving with Multi-modal Reasoning: A Survey
Cho, Seunghyuk
Qin, Zhenyue
Liu, Yang
Choi, Youngbin
Lee, Seungbeom
Kim, Dongwoo
Computer Vision and Pattern Recognition
Machine Learning
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.
title Plane Geometry Problem Solving with Multi-modal Reasoning: A Survey
topic Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2505.14340