moments_gray_planemoments_gray_planeMomentsGrayPlaneMomentsGrayPlanemoments_gray_plane (Operator)

Name

moments_gray_planemoments_gray_planeMomentsGrayPlaneMomentsGrayPlanemoments_gray_plane — Calculate gray value moments and approximation by a plane.

Signature

Description

The operator moments_gray_planemoments_gray_planeMomentsGrayPlaneMomentsGrayPlaneMomentsGrayPlanemoments_gray_plane calculates the gray value moments and the parameters of the approximation of the gray values by a plane. The calculation is carried out according to the following formula: where is the plane, , the center, and , , and the scaled moments of RegionsRegionsRegionsRegionsregionsregions.

The parameters AlphaAlphaAlphaAlphaalphaalpha, BetaBetaBetaBetabetabeta and MeanMeanMeanMeanmeanmean describe a plane above the region: Thus AlphaAlphaAlphaAlphaalphaalpha indicates the gradient in the direction of the line axis (“down”), BetaBetaBetaBetabetabeta the gradient in the direction of the column axis (to the “right”).

Attention

Note that the operator moments_gray_planemoments_gray_planeMomentsGrayPlaneMomentsGrayPlaneMomentsGrayPlanemoments_gray_plane 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

Result

The operator moments_gray_planemoments_gray_planeMomentsGrayPlaneMomentsGrayPlaneMomentsGrayPlanemoments_gray_plane returns the value TRUE if an image with the defined gray values ('byte'"byte""byte""byte""byte""byte") 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.

Possible Predecessors

draw_regiondraw_regionDrawRegionDrawRegionDrawRegiondraw_region, gen_circlegen_circleGenCircleGenCircleGenCirclegen_circle, gen_ellipsegen_ellipseGenEllipseGenEllipseGenEllipsegen_ellipse, gen_rectangle1gen_rectangle1GenRectangle1GenRectangle1GenRectangle1gen_rectangle1, gen_rectangle2gen_rectangle2GenRectangle2GenRectangle2GenRectangle2gen_rectangle2, thresholdthresholdThresholdThresholdThresholdthreshold, regiongrowingregiongrowingRegiongrowingRegiongrowingRegiongrowingregiongrowing

See also

intensityintensityIntensityIntensityIntensityintensity, moments_region_2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2ndMomentsRegion2ndmoments_region_2nd

References

R. Haralick, L. Shapiro; “Computer and Robot Vision”; Addison-Wesley, 1992, pp 75-76

Module

Foundation