3D projective geometry
These concepts generalize naturally to 3D
•Homogeneous
coordinates
–Projective
3D points have four coords: P =
(X,Y,Z,W)
•Duality
–A
plane N is also represented by a 4-vector
–Points
and planes are dual in 3D: N P=0
•Projective
transformations
–Represented
by 4x4 matrices T: P’ =
TP, N’ = N T-1