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流形
一个拓扑空间,局部类似于欧几里得空间。机器人关节的构型空间位于流形上(球形关节为 SO(3),转动关节为 S¹)。流形上的优化和规划需要流形感知的方法(黎曼梯度下降、回缩算子),而不是标准欧几里得算法。

Open 7-DoF arm, bimanual-ready. Ships from San Francisco with pilot data-collection packages from $2,500.

90+ platforms — humanoids, arms, quadrupeds, dexterous hands, and teleoperation kits. In-stock hardware ships in 48 hours.

Hardware-synced demonstrations for VLA and imitation learning. Download in LeRobot, HDF5, or RLDS format.

From first arm on the bench to a policy that survives a real workcell — the Robotics Center pipeline in three steps.

Low-latency data-collection glove for dexterous manipulation. From $5,500, ships from San Francisco.

Unbox, calibrate, and run your first autonomous walk. Includes ROS 2 bringup and teleop quickstart.
一个拓扑空间,局部类似于欧几里得空间。机器人关节的构型空间位于流形上(球形关节为 SO(3),转动关节为 S¹)。流形上的优化和规划需要流形感知的方法(黎曼梯度下降、回缩算子),而不是标准欧几里得算法。
