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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
>
Image Filtering & Neighborhood Processing
>
Built-in
Mathematica
Symbol
HarmonicMean
MeanFilter
GeometricMeanFilter
ImageFilter
See Also »
|
Image Filtering & Neighborhood Processing
New in 7.0: Alphabetical Listing
More About »
HarmonicMeanFilter
HarmonicMeanFilter
[
image
,
r
]
filters
image
by replacing every value by the harmonic mean of the values in its range
r
neighborhood.
HarmonicMeanFilter
[
data
,
r
]
applies harmonic mean filtering to an array of data.
MORE INFORMATION
HarmonicMeanFilter
[
image
,
r
]
computes the harmonic mean of the values in
(2
r
+1)×(2
r
+1)
blocks centered on each pixel.
At the edges of an image,
HarmonicMeanFilter
uses smaller neighborhoods.
HarmonicMeanFilter
[
image
, {
r
1
,
r
2
}]
uses neighborhoods with vertical range
r
1
and horizontal range
r
2
.
HarmonicMeanFilter
operates separately on each channel in an image.
In
HarmonicMeanFilter
[
data
,
...
]
,
data
can be an array of any rank, and can contain symbolic as well as numerical entries.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Harmonic mean filtering applied to a three-channel image:
Applying a harmonic mean filter smoothens an image while preserving sharp transitions:
Apply a moving harmonic mean filter to a vector:
Harmonic mean filtering applied to a three-channel image:
In[1]:=
Out[1]=
Applying a harmonic mean filter smoothens an image while preserving sharp transitions:
In[2]:=
Out[2]=
Apply a moving harmonic mean filter to a vector:
In[1]:=
Out[1]=
SEE ALSO
HarmonicMean
MeanFilter
GeometricMeanFilter
ImageFilter
MORE ABOUT
Image Filtering & Neighborhood Processing
New in 7.0: Alphabetical Listing
New in 7