Looks like we are assigning an equivalence relationship to every pair of points that lie on the same 1D subspace and modulo all points by that relationship. And [x,y,1] is the canonical representative of the equivalence class it belongs to.
OillyNoodle
How should we visualize the step of recovering 2d from 3d space?
ruochen2
This is so convenient!
twizzler
Looking back on this, this is similar to the step we make with quaternions, no?
Looks like we are assigning an equivalence relationship to every pair of points that lie on the same 1D subspace and modulo all points by that relationship. And [x,y,1] is the canonical representative of the equivalence class it belongs to.
How should we visualize the step of recovering 2d from 3d space?
This is so convenient!
Looking back on this, this is similar to the step we make with quaternions, no?