Linear Algebra › Section H · The geometry of vector spaces › Topic H.2
Affine independence
Three points that do not lie on one line pin down a plane, and every point of that plane can then be described by a unique set of weights. Affine independence makes that idea precise, and the weights it produces, barycentric coordinates, are how graphics hardware shades the triangles on a screen.
In this topic
- Independence without an origin
- Definition
- Four equivalent tests
- Worked example: finding a dependence relation
- Barycentric coordinates
- Worked example: coordinates in a triangle
- What the coordinates mean
- Barycentric coordinates in computer graphics
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…