| Homographies |
|
|
|
|
|
|
|
|
|
|
| Perspective
projection of a plane |
|||||||||
| • | Lots of names for
this: |
||||||||
| – | homography,
texture-map, colineation, planar projective map |
||||||||
| • | Modeled as a 2D
warp using homogeneous coordinates |
||||||||
| p’ |
| H |
| p |
|
|
|
|
|
|
| To apply a
homography H |
|||||
| • | Compute p’ = Hp (regular matrix multiply) |
||||
| • | Convert p’
from homogeneous to image coordinates |
||||
|
|
|
| – | divide by w
(third) coordinate |
|