Operator Reference
fuzzy_entropy (Operator)
fuzzy_entropy
— Determine the fuzzy entropy of regions.
Signature
Description
fuzzy_entropy
calculates the fuzzy entropy of a fuzzy
set. To do so, the image is regarded as a fuzzy set. The entropy
then is a measure of how well the image approximates a white or
black image. It is defined as follows:
where MxN is the size of the image, and h(l) is
the histogram of the image. Furthermore,
Here, u(x(m,n)) is a fuzzy membership function defining the fuzzy
set (see fuzzy_perimeter
). The same restrictions hold
as in fuzzy_perimeter
.
Attention
Note that for fuzzy_entropy
, the Regions
must lie
completely within the previously defined domain. Otherwise an exception
is raised.
Execution Information
- Multithreading type: reentrant (runs in parallel with non-exclusive operators).
- Multithreading scope: global (may be called from any thread).
- Automatically parallelized on tuple level.
Parameters
Regions
(input_object) region(-array) →
object
Regions for which the fuzzy entropy is to be calculated.
Image
(input_object) singlechannelimage →
object (byte)
Input image containing the fuzzy membership values.
Apar
(input_control) integer →
(integer)
Start of the fuzzy function.
Default: 0
Suggested values: 0, 5, 10, 20, 50, 100
Value range:
0
≤
Apar
≤
255
(lin)
Minimum increment: 1
Recommended increment: 5
Cpar
(input_control) integer →
(integer)
End of the fuzzy function.
Default: 255
Suggested values: 50, 100, 150, 200, 220, 255
Value range:
0
≤
Cpar
≤
255
(lin)
Minimum increment: 1
Recommended increment: 5
Restriction:
Apar <= Cpar
Entropy
(output_control) real(-array) →
(real)
Fuzzy entropy of a region.
Example (HDevelop)
* To find a Fuzzy Entropy from an Image read_image(Image,'monkey') fuzzy_entropy(Trans,Trans,0,255,Entro)
Result
The operator fuzzy_entropy
returns the value 2 (
H_MSG_TRUE)
if
the parameters are correct. Otherwise an exception is raised.
See also
References
M.K. Kundu, S.K. Pal: “Automatic selection of object enhancement operator with quantitative justification based on fuzzy set theoretic measures”; Pattern Recognition Letters 11; 1990; pp. 811-829.
Module
Foundation