entropy_grayentropy_grayEntropyGrayEntropyGrayentropy_gray (Operator)

Name

entropy_grayentropy_grayEntropyGrayEntropyGrayentropy_gray — Determine the entropy and anisotropy of images.

Signature

Description

The operator entropy_grayentropy_grayEntropyGrayEntropyGrayEntropyGrayentropy_gray creates the histogram of relative frequencies of the gray values in the input image and calculates from these frequencies the entropy and the anisotropy coefficient for each region from RegionsRegionsRegionsRegionsregionsregions according to the following formulae:

Entropy: Anisotropiy coefficient: where rel[i] histogram of relative gray value frequencies i Gray value of input image (0..255) and k Smallest possible gray value with sum(rel[i]) >= 0.5

Attention

Note that the operator entropy_grayentropy_grayEntropyGrayEntropyGrayEntropyGrayentropy_gray only considers the given RegionsRegionsRegionsRegionsregionsregions and ignores any previously set domain of the input image ImageImageImageImageimageimage.

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

Complexity

If F is the area of the region the runtime complexity is O(F + 255).

Result

The operator entropy_grayentropy_grayEntropyGrayEntropyGrayEntropyGrayentropy_gray returns the value TRUE if an image with defined gray values is entered and the parameters are correct. The behavior in case of empty input (no input images available) is set via the operator set_system(::'no_object_result',<Result>:)set_system("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("no_object_result",<Result>)set_system("no_object_result",<Result>), the behavior in case of empty region is set via set_system(::'empty_region_result',<Result>:)set_system("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>)set_system("empty_region_result",<Result>). If necessary an exception is raised.

Alternatives

select_grayselect_graySelectGraySelectGraySelectGrayselect_gray

See also

entropy_imageentropy_imageEntropyImageEntropyImageEntropyImageentropy_image, gray_histogray_histoGrayHistoGrayHistoGrayHistogray_histo, gray_histo_absgray_histo_absGrayHistoAbsGrayHistoAbsGrayHistoAbsgray_histo_abs, fuzzy_entropyfuzzy_entropyFuzzyEntropyFuzzyEntropyFuzzyEntropyfuzzy_entropy, fuzzy_perimeterfuzzy_perimeterFuzzyPerimeterFuzzyPerimeterFuzzyPerimeterfuzzy_perimeter

Module

Foundation