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arXiv 2307.00533cs.RO
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将机器人几何表示为距离场:全身操作的应用

Representing Robot Geometry as Distance Fields: Applications to Whole-body Manipulation

Idiap Research Institute(伊迪亚普研究所);Ecole Polytechnique Fédérale de Lausanne (EPFL)(洛桑联邦理工学院)

Yiming Li, Yan Zhang, Amirreza Razmjoo, Sylvain Calinon

AI总结:

本文提出将机器人几何表示为距离场(RDF),扩展符号距离场至铰接链,实现关节空间鲁棒距离查询,并在仿真和Franka Emika机器人上验证了其在碰撞避免和全身操作中的有效性。

摘要:

在这项工作中,我们提出了一种新颖的方法,将机器人几何表示为距离场(RDF),将符号距离场(SDFs)的原理扩展到铰接运动链。我们的方法采用伯恩斯坦多项式的组合来编码每个机器人连杆的符号距离,具有高精度和高效率,同时确保SDF的数学连续性和可微性。我们进一步利用机器人的运动学链在关节空间中生成SDF表示,允许在任意关节配置中进行鲁棒的距离查询。所提出的RDF表示在任务空间和关节空间中都是可微且平滑的,使其能够直接集成到优化问题中。此外,机器人的0级集对应于机器人表面,可以无缝集成到全身操作任务中。我们在仿真和7轴Franka Emika机器人上进行了各种实验,与基线方法进行比较,并展示了其在碰撞避免和全身操作任务中的有效性。项目页面:https://sites.google.com/view/lrdf/home

英文摘要:

In this work, we propose a novel approach to represent robot geometry as distance fields (RDF) that extends the principle of signed distance fields (SDFs) to articulated kinematic chains. Our method employs a combination of Bernstein polynomials to encode the signed distance for each robot link with high accuracy and efficiency while ensuring the mathematical continuity and differentiability of SDFs. We further leverage the kinematics chain of the robot to produce the SDF representation in joint space, allowing robust distance queries in arbitrary joint configurations. The proposed RDF representation is differentiable and smooth in both task and joint spaces, enabling its direct integration to optimization problems. Additionally, the 0-level set of the robot corresponds to the robot surface, which can be seamlessly integrated into whole-body manipulation tasks. We conduct various experiments in both simulations and with 7-axis Franka Emika robots, comparing against baseline methods, and demonstrating its effectiveness in collision avoidance and whole-body manipulation tasks. Project page: https://sites.google.com/view/lrdf/home

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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