MASTERCLASS

2D Geometry

Lessons

  1. Introduction to 2D geometry
  2. 2D Geometry refresher
  3. Position and pose in 2D
  4. Relative positions in 2D
  5. Relative pose in 2D
  6. Developing a real representation of pose in 2D
  7. Describing rotation in 2D
  8. Describing rotation and translation in 2D
  9. Summary of 2D geometry and pose

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Transcript

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.

Code

There is no code in this lesson.

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.

Professor Peter Corke

Professor of Robotic Vision at QUT and Director of the Australian Centre for Robotic Vision (ACRV). Peter is also a Fellow of the IEEE, a senior Fellow of the Higher Education Academy, and on the editorial board of several robotics research journals.

Skill level

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).

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