Finish looking at student web pages for lab 3 images.
Look at student web pages for lab 4 images.
- What is a matrix?
- How do you multiply a matrix times a point, to get a new point?
- What is the matrix for
- A 2D scale. A 3D scale.
- A 2D rotation, A 3D rotation about x, y, or z axes.
- A 2D shear. A 3D shear.
- A 2D translation. A 3D translation. What are homogeneous coordinates.
- Povray stores matrices a little different from the normal representation. How would your write the above 3D matrices in Povray?
New Material on Matrices
- Multiplication
- How do you multiply 2 matrices together? What does it mean? Why is it useful?
- In 2D: How do you show that order matters when doing e.g. a scale along x and a 90 degree rotation?
- Matrix inverses
- What are inverses and how do you calculate them?
- How do you use inverses to rotate/scale about arbitrary points?
- Matrix Macros - defining matrices that can vary.
