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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Data Manipulation
>
Image Processing & Analysis
>
Mathematical Morphology
>
Built-in
Mathematica
Symbol
Image Processing
Tutorials »
|
Dilation
Opening
Closing
HitMissTransform
MinFilter
DistanceTransform
See Also »
|
Image Processing & Analysis
Mathematical Morphology
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Data Manipulation
More About »
Erosion
Erosion
[
image
,
ker
]
gives the morphological erosion of
image
with respect to the structuring element
ker
.
Erosion
[
image
,
r
]
gives the erosion with respect to a range-
r
square.
MORE INFORMATION
Erosion
works with binary, grayscale and other images.
The structuring element
ker
is a matrix containing
0
s and
1
s.
Erosion
automatically adds zeros to structuring elements so that they have odd dimensions.
Erosion
[
image
,
r
]
is equivalent to
Erosion
[
image
,
BoxMatrix
[
r
]]
.
If multiple image channels are present,
Erosion
operates on each of them separately.
Erosion
takes a
Padding
option that specifies the values to assume for pixels outside the image.
The default setting is
Padding
->1
, corresponding to pixel value
1
for all channels.
Erosion
[
image
,
ker
]
interprets the structuring element so that
Erosion
[
image
, {{0, 0, 1}}]
translates the image to the left.
EXAMPLES
CLOSE ALL
Basic Examples
(4)
Erosion reduces smaller light features:
Erosion of a grayscale image, using a disk-shaped structuring element:
Erosion of a grayscale photo:
Erosion operates on each color channel independently:
Erosion reduces smaller light features:
In[1]:=
Out[1]=
Erosion of a grayscale image, using a disk-shaped structuring element:
In[1]:=
Out[1]=
Erosion of a grayscale photo:
In[1]:=
Out[1]=
Erosion operates on each color channel independently:
In[1]:=
Out[1]=
Possible Issues
(1)
Structuring elements are padded to odd dimensions, which can create artefacts at the right and bottom boundaries:
SEE ALSO
Dilation
Opening
Closing
HitMissTransform
MinFilter
DistanceTransform
TUTORIALS
Image Processing
MORE ABOUT
Image Processing & Analysis
Mathematical Morphology
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Data Manipulation
New in 7