Home

Imagedomain

Imagedomain, usually written as image domain, is a term used in mathematics and digital imaging to describe the set of output values that a given mapping produces from its inputs. More generally, it refers to the codomain region that results from applying a function to its input domain. The image domain is not inherently fixed; it depends on the function and the domain from which inputs are drawn. In many contexts the image domain is also called the range of the function.

In mathematics, the image domain of a function f: X → Y is the subset of Y consisting

In image processing and computer vision, the term image domain is frequently used to refer to the

See also: domain, range, spatial domain, frequency domain, Fourier transform.

of
all
values
y
for
which
there
exists
x
in
X
with
f(x)
=
y.
The
input
domain
X
is
distinct
from
the
image
domain,
though
they
are
linked
by
the
mapping.
In
complex
analysis,
for
example,
one
often
considers
the
image
domain
f(D)
where
D
is
a
domain
in
the
complex
plane
and
f
maps
D
into
another
region
of
the
plane.
spatial
domain
of
an
image—the
grid
of
pixel
values
that
encode
color
or
intensity.
Operations
performed
in
the
image
domain
include
spatial
filtering
(convolution),
point
processing,
and
geometric
transformations.
This
is
typically
contrasted
with
the
frequency
domain,
which
is
obtained
via
transforms
such
as
the
Fourier
transform
and
where
filtering
and
analysis
may
be
carried
out
in
terms
of
spectral
components.
The
imagedomain
in
this
context
is
often
described
by
pixel
coordinates
and
channels,
such
as
(row,
column,
channel).