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EAGOR:全方位的具身推理

EAGOR: Embodied Reasoning in Omni-direction

Shriram Damodaran, Soumyaratna Debnath, Yan Wu, Wei-Yun Yau, Addison Lin Wang

arXiv 2607.06165首次发表:更新:

发表机构

EmPACT Lab, NTU Singapore Institute for Infocomm Research, A*STAR Singapore(EmPACT实验室,南洋理工大学信息与通信研究所,A*STAR新加坡)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究针对现有视觉语言模型在处理360°观测时方向估计不一致的问题,提出无需训练的几何感知框架EAGOR,将方向推理表述为球面上的递归贝叶斯估计,引入球谐信念场,实验证明其性能优于现有方法。

AI 中文摘要

全方位(360°)相机为具身智能体提供周围环境的全景视图,适用于导航和物体搜索等任务中的方向推理。现有视觉语言模型(VLMs)将360°观测投影到2D等距矩形投影(ERP)图像并使用针对透视图像设计的架构处理,忽略了360°观测的球形性质,导致方向估计在相机视图变换下不一致。我们提出EAGOR,一个无需训练、几何感知的具身360°方向推理框架。它将方向推理直接在球面上表述为递归贝叶斯估计,通过引入球谐信念场(SH-BF)消除ERP接缝不连续、纬度扭曲和插值误差。在两个基准数据集和腿部机器人的真实世界实验中评估,EAGOR始终优于现有方法,在HOS和OSR-Bench上分别实现平均相对增益+34.4%和+45.6%,同时提高导航成功率+14.6%,减少步数17.7%,降低平均角度误差24.5%。

英文摘要

Omni-directional (360°) cameras provide embodied agents with a holistic view of their surroundings, making them suited for directional reasoning in tasks such as navigation and object search. Existing Vision Language Models (VLMs) project 360° observations to 2D equirectangular projection (ERP) images and process them using architectures designed for perspective images. However, they ignore the spherical nature of 360° observations, where each pixel represents a viewing direction relative to the agent. Consequently, their direction estimates often become inconsistent under camera view transformations caused by agent motion. This limitation is particularly critical for map-free navigation, where the agent must continuously estimate the target direction in its egocentric frame. We propose EAGOR, a training-free, geometry-aware framework for embodied 360° directional reasoning. Instead of predicting target directions as ERP image coordinates, EAGOR formulates directional reasoning as recursive Bayesian estimation directly on the sphere. It maintains a continuous belief over target directions and propagates it equivariantly under agent motion without training the backbone VLMs. To achieve this, we introduce the Spherical Harmonic Belief Field (SH-BF), whose spherical harmonic representation provides a globally defined, rotation-aware basis for directional estimation on the spherical manifold. This formulation eliminates ERP seam discontinuities, latitude distortions, and interpolation errors. We evaluate EAGOR on two benchmark datasets and real-world experiments with a legged robot across directional reasoning tasks. EAGOR consistently outperforms existing methods, achieving average relative gains of +34.4% and +45.6% on HOS and OSR-Bench, respectively, while improving navigation success by +14.6%, reducing step count by 17.7%, and lowering mean angular error by 24.5%.

Comments12 Pages, 7 Figures, 4 Tables

论文原文

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