Quaternions | Robotic Systems
11:02
YouTubeLeopoldo Armesto
Quaternions | Robotic Systems
This video introduces quaternions, a representation convention for 3D orientation commonly used in robotics. Please buy me a coffee: https://www.paypal.me/leoarmesto This video is part of a set of video tutorials used in robotic courses in Universitat Politècnica de València.
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In 3D, rotation matrices are used to rotate objects around the x, y, or z axes. Each axis has its own specific rotation matrix. For example, rotating around the z-axis uses a matrix that leaves the z-coordinate unchanged but rotates the x and y coordinates, effectively spinning the object in the xy-plane. Similarly, rotating around the x-axis affects the y and z values, while rotating around the y-axis affects the x and z values. These 3x3 matrices are always orthogonal, meaning their rows and c
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