3D Equivariant Visuomotor Policy Learning via Spherical Projection

Fuente: arXiv
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Autori principali: Hu, Boce, Wang, Dian, Klee, David, Tian, Heng, Zhu, Xupeng, Huang, Haojie, Platt, Robert, Walters, Robin
Natura: Preprint
Pubblicazione: 2025
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author Hu, Boce
Wang, Dian
Klee, David
Tian, Heng
Zhu, Xupeng
Huang, Haojie
Platt, Robert
Walters, Robin
author_facet Hu, Boce
Wang, Dian
Klee, David
Tian, Heng
Zhu, Xupeng
Huang, Haojie
Platt, Robert
Walters, Robin
contents Equivariant models have recently been shown to improve the data efficiency of diffusion policy by a significant margin. However, prior work that explored this direction focused primarily on point cloud inputs generated by multiple cameras fixed in the workspace. This type of point cloud input is not compatible with the now-common setting where the primary input modality is an eye-in-hand RGB camera like a GoPro. This paper closes this gap by incorporating into the diffusion policy model a process that projects features from the 2D RGB camera image onto a sphere. This enables us to reason about symmetries in $\mathrm{SO}(3)$ without explicitly reconstructing a point cloud. We perform extensive experiments in both simulation and the real world that demonstrate that our method consistently outperforms strong baselines in terms of both performance and sample efficiency. Our work, Image-to-Sphere Policy ($\textbf{ISP}$), is the first $\mathrm{SO}(3)$-equivariant policy learning framework for robotic manipulation that works using only monocular RGB inputs.
format Preprint
id arxiv_https___arxiv_org_abs_2505_16969
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle 3D Equivariant Visuomotor Policy Learning via Spherical Projection
Hu, Boce
Wang, Dian
Klee, David
Tian, Heng
Zhu, Xupeng
Huang, Haojie
Platt, Robert
Walters, Robin
Robotics
Equivariant models have recently been shown to improve the data efficiency of diffusion policy by a significant margin. However, prior work that explored this direction focused primarily on point cloud inputs generated by multiple cameras fixed in the workspace. This type of point cloud input is not compatible with the now-common setting where the primary input modality is an eye-in-hand RGB camera like a GoPro. This paper closes this gap by incorporating into the diffusion policy model a process that projects features from the 2D RGB camera image onto a sphere. This enables us to reason about symmetries in $\mathrm{SO}(3)$ without explicitly reconstructing a point cloud. We perform extensive experiments in both simulation and the real world that demonstrate that our method consistently outperforms strong baselines in terms of both performance and sample efficiency. Our work, Image-to-Sphere Policy ($\textbf{ISP}$), is the first $\mathrm{SO}(3)$-equivariant policy learning framework for robotic manipulation that works using only monocular RGB inputs.
title 3D Equivariant Visuomotor Policy Learning via Spherical Projection
topic Robotics
url https://arxiv.org/abs/2505.16969