Originally, a "'homography "'was defined as the composition of a finite number of perspectivities.
12.
It follows that, given two frames, there is exactly one homography mapping the first one onto the second one.
13.
As mentioned by Blaschke and Klein, Michel Chasles preferred the term " homography " to " collineation ".
14.
As all the projective spaces of the same dimension over the same field are isomorphic, the same is true for their homography groups.
15.
For a pair of two images related through a Overlap regions of elliptical regions related by a homography matrix ( H )-->
16.
By the fundamental theorem of projective geometry a reciprocity is the composition of an automorphic function of " K " and a homography.
17.
The homography group is a subgroup of the " collineation group " of the collineations of a projective space of dimension " n ".
18.
First simultaneous estimation of projection ( homography ) and gain change, together with composite of multiple differently exposed pictures to generate a high dynamic range image, 1991:
19.
Homography groups also called projective linear groups are denoted when acting on a projective space of dimension " n " over a field " F ".
20.
In applications such as computer vision where the underlying field is the real number field, " homography " and " collineation " can be used interchangeably.
