2D coordinate transformations
translation:
x’
=
x + t
x =
(
x
,
y
)
rotation:
x’
=
R x + t
similarity:
x’
=
s
R x + t
affine:
x’
=
A x + t
perspective:
x
’
H
x
x
=
(
x
,
y
,1)
(
x
is a
homogeneous
coordinate)
These all form a nested
group
(closed w/ inv.)