Rotation Matrices in Robotics - Fundamentals of Robotics

Explore rotation matrices in robotics through this comprehensive video lesson. Delve into the fundamentals of rotation matrices, their properties, and applications in robotic systems. Learn about the Special Orthogonal Group SO(3), implicit representation of orientations, and how rotation matrices function as operators for changing reference frames and rotating vectors. Discover rotation operators for x, y, and z axes, and observe practical demonstrations on representing orientations in a robot's workspace and performing successive rotations. Gain valuable insights into this crucial aspect of robotics and mechatronics, complementing your understanding with additional reading materials and related lessons in the Fundamentals of Robotics series.

​​ Introduction
​​ Introduction to Rotation Matrices
​​ Special Orthogonal Group SO3
​​ Properties of Rotation Matrices
​​ Rotations commute for the planar rotations
​​ Uses of Rotation Matrices
​​ Use of Rotation matrices as Implicit Representations of the Orientations
​​ Use of Rotation matrices to change the Reference Frame of a Vector or a Frame Rotation Matrix is an Operator
​​ Use of Rotation matrices to rotate a Vector or a Frame Rotation matrix is an operator
​​ Rotation Operators about the x, y, and z axes
​​ Demonstration: the Representation of the Orientation of the Elements in the Robot's Workspace
​​ Demonstration: Successive Rotations of a Point about the Coordinate Axes of the Base Frame