plane_deviationplane_deviationplane_deviationPlaneDeviationPlaneDeviation (Operator)

Name

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

Signature

Description

The operator plane_deviationplane_deviationplane_deviationPlaneDeviationPlaneDeviation calculates the deviation of the gray values in ImageImageImageImageimage from the approximation of the gray values through a plane. Contrary to the standard deviation in case of intensityintensityintensityIntensityIntensity slanted gray value planes also receive the value zero. The gray value plane is calculated according to gen_image_gray_rampgen_image_gray_rampgen_image_gray_rampGenImageGrayRampGenImageGrayRamp.

If F is the plane, alpha, beta, mean are the parameters of the image
plane and (r',c') is the center, Deviation is defined by:

  Deviation = sqrt(sum(((alpha*(r-r')+beta*(c-c')+mean)-Image(r,c))^2)/F) .

Attention

It should be noted that the calculation of DeviationDeviationDeviationDeviationdeviation does not follow the usual definition. It is defined to return the value 0.0 for an image with only one pixel.

Parallelization

• 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_deviationplane_deviationPlaneDeviationPlaneDeviation returns the value 2 (H_MSG_TRUE) if ImageImageImageImageimage is of the type '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>)set_system("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("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>)set_system("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>). If necessary an exception is raised.

Alternatives

intensityintensityintensityIntensityIntensity, gen_image_gray_rampgen_image_gray_rampgen_image_gray_rampGenImageGrayRampGenImageGrayRamp, sub_imagesub_imagesub_imageSubImageSubImage

See also

moments_gray_planemoments_gray_planemoments_gray_planeMomentsGrayPlaneMomentsGrayPlane

Module

Foundation