-
projective spaces. As
every homography has an
inverse mapping and the
composition of two
homographies is another, the
homographies of a
given projective space...
-
Allan Jepson (2010)
Planar Homographies from
Department of
Computer Science,
University of Toronto.
Includes 2D
homography from four
pairs of corresponding...
- A
homography may
refer to
homography, a type of
isomorphism of
projective spaces,
homography (computer vision), a
mapping relating perspective images of...
- A
homograph (from the Gr****: ὁμός, homós 'same' and γράφω, gráphō 'write') is a word that
shares the same
written form as
another word but has a different...
- of
homographies by
automorphic collineations. In particular, the
collineations of the real
projective plane PG(2, R) are
exactly the
homographies, as...
- U[(q+u)^{-1}(q-u),\ 1].} The real and
complex homographies described above are
instances of the
quaternion homography where θ {\displaystyle \theta } is zero...
- geometry); in this context,
collineations are
easier to
define than
homographies, and
homographies are
defined as
specific collineations, thus
called "projective...
- in
light of the
general theory of SL(2, R).
Elements of PSL(2, R) are
homographies on the real
projective line R ∪ {∞}: [ x , 1 ] ↦ [ x , 1 ] ( a c b...
- of A. The
projective line P1(A) is
equipped with a
group of
homographies. The
homographies are
expressed through use of the
matrix ring over A and its...
-
algebra B can be
extended to P(B)
through the
projective line over a ring.
Homographies on P(B)
include translations: U ( q : 1 ) ( 1 0 t 1 ) = U ( q + t : 1...
