LESSON

# Developing a real representation of pose in 2D

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Now it's time to start making these concepts real. What is this thing? What is this letter ksi? We're going to do this by separating rotation and translation.

Here we have the car at two different poses. And we can describe the second pose in terms of a relative pose from here to there. Now in order to aid our understanding and development of the concept, we're going to split this into two parts. A translation followed by a rotation. We're going to deal with the rotational part first because it's actually more complex than translation and conceptually more difficult to understand.

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The pose of an object can be considered in two parts, the position of the object and the orientation of the object.

Try your hand at some online MATLAB problems. You’ll need to watch all the 2D “Spatial Maths” lessons to complete the problem set.

### Skill level

High school mathematics

This content assumes an understanding of high school-level mathematics, e.g. trigonometry, algebra, calculus, physics (optics) and some knowledge/experience of programming (any language).