Homogeneous Coordinates and the Matrix Representation of 2D Transformations
Translation refuses to be a multiplication — until one extra coordinate makes every move the same kind of maths.
What this unit covers
Unit 5: Geometric Transformations
- 1 Basic 2D Transformations: Translation, Scaling and RotationMove it, resize it, turn it: three small formulas send every point of a shape to its new home at once. · 9 min
- 2 Homogeneous Coordinates and the Matrix Representation of 2D TransformationsTranslation refuses to be a multiplication — until one extra coordinate makes every move the same kind of maths. · 3 min
- 3 Composite, Reflection, Shear and 3D TransformationsRotate then move, or move then rotate — the order you choose can land your shape somewhere completely different. · 11 min
- 4 Importance and Applications of Geometric TransformationsFrom eight hundred identical chairs to a beating heart on screen, transformations quietly do the heavy lifting. · 4 min