plane_deviationplane_deviationPlaneDeviationPlaneDeviationplane_deviation (Operator)

Name

plane_deviationplane_deviationPlaneDeviationPlaneDeviationplane_deviation — Calculate the deviation of the gray values from the approximating image plane.

Signature

Description

The operator plane_deviationplane_deviationPlaneDeviationPlaneDeviationPlaneDeviationplane_deviation calculates the deviation of the gray values in ImageImageImageImageimageimage from the approximation of the gray values through a plane. Contrary to the standard deviation in case of intensityintensityIntensityIntensityIntensityintensity slanted gray value planes also receive the value zero. The gray value plane is calculated according to gen_image_gray_rampgen_image_gray_rampGenImageGrayRampGenImageGrayRampGenImageGrayRampgen_image_gray_ramp. If F is the area of the region, , , and the parameters of the image plane, and (r',c') the center of the region, DeviationDeviationDeviationDeviationdeviationdeviation is defined by:

Attention

Note that the operator plane_deviationplane_deviationPlaneDeviationPlaneDeviationPlaneDeviationplane_deviation only considers the given RegionsRegionsRegionsRegionsregionsregions and ignores any previously set domain of the input image ImageImageImageImageimageimage. It should be noted that the calculation of DeviationDeviationDeviationDeviationdeviationdeviation does not follow the usual definition. It is defined to return the value 0.0 for an image with only one pixel.

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 amounts to O(F).

Result

The operator plane_deviationplane_deviationPlaneDeviationPlaneDeviationPlaneDeviationplane_deviation returns the value TRUE if ImageImageImageImageimageimage is of the type 'byte'"byte""byte""byte""byte""byte". 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

intensityintensityIntensityIntensityIntensityintensity, gen_image_gray_rampgen_image_gray_rampGenImageGrayRampGenImageGrayRampGenImageGrayRampgen_image_gray_ramp, sub_imagesub_imageSubImageSubImageSubImagesub_image

See also

moments_gray_planemoments_gray_planeMomentsGrayPlaneMomentsGrayPlaneMomentsGrayPlanemoments_gray_plane

Module

Foundation