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We introduce graphcodes, a novel multi-scale summary of the topological properties of a dataset that is based on the well-established theory of persistent homology. Graphcodes handle datasets that are filtered along two real-valued scale…

Algebraic Topology · Mathematics 2024-05-24 Michael Kerber , Florian Russold

Previous methods for image geo-localization have typically treated the task as either classification or retrieval, often relying on black-box decisions that lack interpretability. The rise of large vision-language models (LVLMs) has enabled…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Ling Li , Yao Zhou , Yuxuan Liang , Fugee Tsung , Jiaheng Wei

Many programming problems call for turning geometrical thoughts into code: tables, hierarchical structures, nests of objects, trees, forests, graphs, and so on. Linear text does not do justice to such thoughts. But, it has been the dominant…

Programming Languages · Computer Science 2020-10-27 Leif Andersen , Michael Ballantyne , Matthias Felleisen

Multimodal large language models (MLLMs) that think with images can interactively use tools to reason about visual inputs, but current approaches often rely on a narrow set of tools with limited real-world necessity and scalability. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Zirun Guo , Minjie Hong , Feng Zhang , Kai Jia , Tao Jin

Empowered by large-scale training, vision-language models (VLMs) achieve strong image and video understanding, yet their ability to perform spatial reasoning in both static scenes and dynamic videos remains limited. Recent advances try to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Shihua Zhang , Qiuhong Shen , Shizun Wang , Tianbo Pan , Xinchao Wang

Graphic design generation demands a delicate balance between high visual fidelity and fine-grained structural editability. However, existing approaches typically bifurcate into either non-editable raster image synthesis or abstract layout…

Graphics · Computer Science 2026-02-24 Ziyuan Liu , Shizhao Sun , Danqing Huang , Yingdong Shi , Meisheng Zhang , Ji Li , Jingsong Yu , Jiang Bian

We introduce GeoBuildBench, a benchmark designed to evaluate whether large language models and multimodal agents can ground informal natural-language plane geometry problems into executable geometric constructions. Unlike existing geometry…

Computation and Language · Computer Science 2026-05-14 Jinwoong Kim , Rui Yang , Huishuai Zhang

Story visualization aims to generate a sequence of images to narrate each sentence in a multi-sentence story, where the images should be realistic and keep global consistency across dynamic scenes and characters. Current works face the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-15 Bowen Li , Thomas Lukasiewicz

Existing image editing methods struggle to perceive where to edit, especially under complex scenes and nuanced spatial instructions. To address this issue, we propose Generative Visual Chain-of-Thought (GVCoT), a unified framework that…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Zijin Yin , Tiankai Hang , Yiji Cheng , Shiyi Zhang , Runze He , Yu Xu , Chunyu Wang , Bing Li , Zheng Chang , Kongming Liang , Qinglin Lu , Zhanyu Ma

Multi-modal Large Language Models (MLLMs) have gained significant attention in both academia and industry for their capabilities in handling multi-modal tasks. However, these models face challenges in mathematical geometric reasoning due to…

Artificial Intelligence · Computer Science 2025-11-03 Yuhao Zhang , Dingxin Hu , Tinghao Yu , Hao Liu , Yiting Liu

While synthetic data has proven effective for improving scientific reasoning in the text domain, multimodal reasoning remains constrained by the difficulty of synthesizing scientifically rigorous images. Existing Text-to-Image (T2I) models…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Honglin Lin , Chonghan Qin , Zheng Liu , Qizhi Pei , Yu Li , Zhanping Zhong , Xin Gao , Yanfeng Wang , Conghui He , Lijun Wu

The ability to think abstractly and reason by analogy is a prerequisite to rapidly adapt to new conditions, tackle newly encountered problems by decomposing them, and synthesize knowledge to solve problems comprehensively. We present…

Artificial Intelligence · Computer Science 2024-10-08 Jakub Bednarek , Krzysztof Krawiec

Geometry problem solving (GPS) is a high-level mathematical reasoning requiring the capacities of multi-modal fusion and geometric knowledge application. Recently, neural solvers have shown great potential in GPS but still be short in…

Artificial Intelligence · Computer Science 2023-05-01 Ming-Liang Zhang , Fei Yin , Cheng-Lin Liu

The rapid advancement of remote sensing foundation models, particularly vision and multimodal models, has significantly enhanced the capabilities of intelligent geospatial data interpretation. These models combine various data modalities,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Ziyue Huang , Hongxi Yan , Qiqi Zhan , Shuai Yang , Mingming Zhang , Chenkai Zhang , YiMing Lei , Zeming Liu , Qingjie Liu , Yunhong Wang

Advancing towards artificial superintelligence requires rich and intelligent perceptual capabilities. A critical frontier in this pursuit is overcoming the limited spatial understanding of Multimodal Large Language Models (MLLMs), where…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Ruiheng Liu , Haihong Hao , Mingfei Han , Xin Gu , Kecheng Zhang , Changlin Li , Xiaojun Chang

In this paper, we propose a new representation for multiview image sets. Our approach relies on graphs to describe geometry information in a compact and controllable way. The links of the graph connect pixels in different images and…

Multimedia · Computer Science 2013-12-23 Thomas Maugey , Antonio Ortega , Pascal Frossard

Geometry problem solving presents distinctive challenges in artificial intelligence, requiring exceptional multimodal comprehension and rigorous mathematical reasoning capabilities. Existing approaches typically fall into two categories:…

Artificial Intelligence · Computer Science 2026-02-16 Bowen Ping , Minnan Luo , Zhuohang Dang , Chenxi Wang , Chengyou Jia

Chart-to-code generation demands strict visual precision and syntactic correctness from Vision-Language Models (VLMs). However, existing approaches are fundamentally constrained by data-centric limitations: despite the availability of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Xiangxi Zheng , Kuang He , Jiayi Hu , Ping Yu , Rui Yan , Yuan Yao , Peng Hou , Anxiang Zeng , Alex Jinpeng Wang

Evaluating code generation models for 3D spatial reasoning requires executing generated code in realistic environments and assessing outputs beyond surface-level correctness. We introduce a platform VoxelCode, for analyzing code generation…

Machine Learning · Computer Science 2026-04-06 Yan Zheng , Florian Bordes

The advancement of Large Vision-Language Models (LVLMs) requires precise local region-based reasoning that faithfully grounds the model's logic in actual visual evidence. However, existing datasets face limitations in scalability due to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Byeonggeuk Lim , Kyeonghyun Kim , JungMin Yun , YoungBin Kim
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