TIGeR: Tool-Integrated Geometric Reasoning in Vision-Language Models for Robotics

Fuente: arXiv
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Autores principales: Han, Yi, Zhou, Enshen, Rong, Shanyu, An, Jingkun, Wang, Pengwei, Wang, Zhongyuan, Chi, Cheng, Sheng, Lu, Zhang, Shanghang
Formato: Preprint
Publicado: 2025
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author Han, Yi
Zhou, Enshen
Rong, Shanyu
An, Jingkun
Wang, Pengwei
Wang, Zhongyuan
Chi, Cheng
Sheng, Lu
Zhang, Shanghang
author_facet Han, Yi
Zhou, Enshen
Rong, Shanyu
An, Jingkun
Wang, Pengwei
Wang, Zhongyuan
Chi, Cheng
Sheng, Lu
Zhang, Shanghang
contents Vision-Language Models (VLMs) have shown remarkable capabilities in spatial reasoning, yet they remain fundamentally limited to qualitative precision and lack the computational precision required for real-world robotics. Current approaches fail to leverage metric cues from depth sensors and camera calibration, instead reducing geometric problems to pattern recognition tasks that cannot deliver the centimeter-level accuracy essential for robotic manipulation. We present TIGeR (Tool-Integrated Geometric Reasoning), a novel framework that transforms VLMs from perceptual estimators to geometric computers by enabling them to generate and execute precise geometric computations through external tools. Rather than attempting to internalize complex geometric operations within neural networks, TIGeR empowers models to recognize geometric reasoning requirements, synthesize appropriate computational code, and invoke specialized libraries for exact calculations. To support this paradigm, we introduce TIGeR-300K, a comprehensive tool-invocation-oriented dataset covering point transformations, pose estimation, and spatial compatibility verification, complete with tool invocation sequences and intermediate computations. Through a two-stage training pipeline combining supervised fine-tuning (SFT) and reinforcement fine-tuning (RFT) with our proposed hierarchical reward design, TIGeR achieves SOTA performance on geometric reasoning benchmarks while demonstrating centimeter-level precision in real-world robotic manipulation tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2510_07181
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle TIGeR: Tool-Integrated Geometric Reasoning in Vision-Language Models for Robotics
Han, Yi
Zhou, Enshen
Rong, Shanyu
An, Jingkun
Wang, Pengwei
Wang, Zhongyuan
Chi, Cheng
Sheng, Lu
Zhang, Shanghang
Robotics
Artificial Intelligence
Computer Vision and Pattern Recognition
Vision-Language Models (VLMs) have shown remarkable capabilities in spatial reasoning, yet they remain fundamentally limited to qualitative precision and lack the computational precision required for real-world robotics. Current approaches fail to leverage metric cues from depth sensors and camera calibration, instead reducing geometric problems to pattern recognition tasks that cannot deliver the centimeter-level accuracy essential for robotic manipulation. We present TIGeR (Tool-Integrated Geometric Reasoning), a novel framework that transforms VLMs from perceptual estimators to geometric computers by enabling them to generate and execute precise geometric computations through external tools. Rather than attempting to internalize complex geometric operations within neural networks, TIGeR empowers models to recognize geometric reasoning requirements, synthesize appropriate computational code, and invoke specialized libraries for exact calculations. To support this paradigm, we introduce TIGeR-300K, a comprehensive tool-invocation-oriented dataset covering point transformations, pose estimation, and spatial compatibility verification, complete with tool invocation sequences and intermediate computations. Through a two-stage training pipeline combining supervised fine-tuning (SFT) and reinforcement fine-tuning (RFT) with our proposed hierarchical reward design, TIGeR achieves SOTA performance on geometric reasoning benchmarks while demonstrating centimeter-level precision in real-world robotic manipulation tasks.
title TIGeR: Tool-Integrated Geometric Reasoning in Vision-Language Models for Robotics
topic Robotics
Artificial Intelligence
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2510.07181