
Summary of paths and trajectories
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We summarise the important points from this lecture.
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We summarise the important points from this lecture.
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The orientation of a body in 3D can also be described by a single rotation about a particular axis in space.
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The orientation of a body in 3D can also be described by two vectors, often called the approach and orientation vectors.
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A problem arises when using three-angle sequences and particular values of the middle angle leads to a condition called a singularity. This mathematical phenomena is related to a problem that occurs in the physical world with mechanical gimbal systems. Note that in Robotics, Vision & Control (second edition) and RTB10.x the default definition of roll-pitch-yaw […]
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We learn how to describe the orientation of an object by a 3×3 rotation matrix which has some special properties.
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We consider multiple objects each with its own coordinate frame. Now we can describe the relationships between the frames and find a vector describing a point with respect to any of these frames. We extend our algebraic notation to ease the manipulation of relative poses. Try your hand at some online MATLAB problems. You’ll need […]