Robotic Geometry

Don’t Return to Robotics

TLDR: Robotic geometry is the study of the spatial configuration and structural relationships of components within a robotic system. It involves understanding the positional and angular relationships between links and joints, enabling precise control and motion in robotics and automation.

The formalization of robotic geometry began with the introduction of the Denavit-Hartenberg Parameters in 1955 by Jacques Denavit and Richard S. Hartenberg. This framework provided a systematic way to model the geometry of robotic manipulators, simplifying the mathematical representation of complex mechanical systems.

Key elements of robotic geometry include link length, joint angles, and the degrees of freedom (DOF (Degrees of Freedom)) of a robot. These parameters define how the links and joints of a robot interact to produce motion. Understanding these relationships is critical for tasks like trajectory tracking, path planning, and collision avoidance.

Applications of robotic geometry span a variety of industries. In manufacturing, it is used to design robotic arms for tasks such as welding and assembly. In healthcare, robotic geometry underpins the precise movements of surgical robots. In space exploration, it enables the design of manipulators for deploying satellites or collecting samples.

Tools like forward kinematics and inverse kinematics are fundamental to robotic geometry. Forward kinematics calculates the position of the end effector given the joint angles, while inverse kinematics determines the joint configurations required to achieve a specific end effector position. These calculations are essential for controlling robotic systems.

The study of robotic geometry continues to evolve with advancements in computational tools and hardware. Simulation platforms such as Gazebo and MoveIt rely on geometric models to test and refine robotic systems. By bridging theoretical principles and practical applications, robotic geometry remains a cornerstone of robotics design and operation.

https://en.wikipedia.org/wiki/Kinematics_(robotics)

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