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Manipulation. Umashankar Nagarajan. Rotation. Z. Y. Z. Y. A. B. B. A. X. X. A. B. Rotation Matrix. about X axis about Y axis about Z axis. Properties of a Rotation Matrix. Orthonormal Matrix. Euler Angles. Z-Y-X First, rotate about by Then, rotate about by
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Manipulation Umashankar Nagarajan
Rotation Z Y Z Y A B B A X X A B Umashankar Nagarajan
Rotation Matrix • about X axis • about Y axis • about Z axis Umashankar Nagarajan
Properties of a Rotation Matrix Orthonormal Matrix Umashankar Nagarajan
Euler Angles • Z-Y-X • First, rotate about by • Then, rotate about by • Then, rotate about by Umashankar Nagarajan
Transformation Z Y Z Y A A B B X X A B Umashankar Nagarajan
Transformation • Inverse transformation Umashankar Nagarajan
Manipulator Kinematics • Common joint types with one DOF • Revolute • Prismatic Umashankar Nagarajan
Forward Kinematics Umashankar Nagarajan
THE END Umashankar Nagarajan