A homography is an invertible mapping from points in the the real projective plane to points in the real projective plane that maps straight lines to straight lines. This tag should be used for questions related to homography transformations (pure camera rotation, planar scenes, ...) in the computer vision field.
A homography is an invertible mapping h
from the real projective plane to itself such that three points x1
, x2
and x3
lie on the same line if and only if h(x1), h(x2)
and h(x3)
do. Each homography is represented in homogeneous coordinates by a non-singular 3x3
matrix H
such that for any point in the real projective plane represented by a vector x
it is true that h(x) = Hx
.
When applied to every pixel the new image is a warped version of the original image.
Source: wikipedia