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接触模式即层:几何结构在离散-连续规划中的优势

Contact Modes Are Strata: What Geometric Structure Buys in Discrete-Continuous Planning

Phone Thiha Kyaw, Jonathan Kelly

arXiv 2608.15541首次发表:更新:

发表机构

University of Toronto Institute for Aerospace Studies (UTIAS); Space and Terrestrial Autonomous Robotic Systems (STARS) Laboratory(多伦多大学航空航天研究所; 空间与地面自主机器人系统实验室)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究提出将接触模式视为构型空间的层,以此构建离散-连续规划方法,在两项仿真接触操纵任务中实现了无需预定义接触序列的快速规划。

AI 中文摘要

接触丰富的操纵同时提出了离散与连续两类问题,即哪些接触是主动的,以及在保持接触的情况下如何运动。这两类问题因维度变化而耦合,机器人维持的每个接触都会将其运动限制在低维流形上。我们将这种耦合明确作为规划的对象,指出接触模式不仅与构型空间的层类似,它本身就是构型空间的一个层。此时规划就是在层上的游走,层内的段为测地线。在两项仿真的接触丰富操纵任务(推动T形块绕过障碍物、灵巧手重新定向立方体)中,我们的规划器无需预先给定模式、接触序列或层,即可在数秒内返回解决方案。

英文摘要

Contact-rich manipulation poses a discrete question and a continuous one at once, namely which contacts are active and how to move while they hold. The two are coupled by a change of dimension, since each contact that a robot maintains confines its motion to a lower-dimensional manifold. We make that coupling the explicit object of planning by observing that a contact mode is not merely analogous to a stratum of the configuration space; it is one. A plan is then a walk over strata whose within-stratum segments are geodesics. On two contact-rich manipulation tasks in simulation, pushing a T-shaped block around obstacles and reorienting a cube in a dexterous hand, our planner returns solutions within seconds with no mode, contact sequence, or stratum given in advance.

CommentsSpotlight paper at the IROS 2026 Workshop on Geometric-Aware Representations in Robotics, Pittsburgh, USA, October 1, 2026

论文原文

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