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Search Results for: thin lens model

Summary of paths and trajectories

lesson

We summarise the important points from this lecture.

Angle-axis representation of rotation in 3D

lesson

The orientation of a body in 3D can also be described by a single rotation about a particular axis in space.

2-vector representation of rotation in 3D

lesson

The orientation of a body in 3D can also be described by two vectors, often called the approach and orientation vectors.

Singularity in 3D rotation angle sequences

lesson

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 […]

Describing rotation in 3D

lesson

We learn how to describe the orientation of an object by a 3×3 rotation matrix which has some special properties.

Relative pose in 2D

lesson

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 […]

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