Skip to main content
This section covers the mathematical foundations of how robots are structured and move — configuration spaces, coordinate transformations, and motion models for wheeled and articulated robots.

Kinematics overview

Introduction to robot kinematics and rigid body motion.

Configuration space

Degrees of freedom, joint spaces, and configuration representations.

Homogeneous coordinates

Representing points and transformations in projective space.

Motion representations

Rotation matrices, Euler angles, quaternions, and SE(3).