closing_golayclosing_golayclosing_golayClosingGolayClosingGolay (Operator)

Name

closing_golayclosing_golayclosing_golayClosingGolayClosingGolay — Close a region with an element from the Golay alphabet.

Signature

Description

closing_golayclosing_golayclosing_golayClosingGolayClosingGolay is defined as a Minkowski addition followed by a Minkowski subtraction. First the Minkowski addition of the input region (RegionRegionRegionRegionregion) with the structuring element from the Golay alphabet defined by GolayElementGolayElementGolayElementGolayElementgolayElement and RotationRotationRotationRotationrotation is computed. Then the Minkowski subtraction of the result and the structuring element rotated by 180 degrees is performed.

The following structuring elements are available:

'l', 'm', 'd', 'c', 'e', 'i', 'f', 'f2', 'h', 'k'.

The rotation number RotationRotationRotationRotationrotation determines which rotation of the element should be used, and whether the foreground (even) or background version (odd) of the selected element should be used. The Golay elements, together with all possible rotations, are described with the operator golay_elementsgolay_elementsgolay_elementsGolayElementsGolayElements.

closing_golayclosing_golayclosing_golayClosingGolayClosingGolay serves to close holes smaller than the structuring element, and to smooth regions' boundaries.

Attention

Not all values of RotationRotationRotationRotationrotation are valid for any Golay element. For some of the values of RotationRotationRotationRotationrotation, the resulting regions are identical to the input regions.

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

Let F be the area of an input region. Then the runtime complexity for one region is:

       O(6 * sqrt(F)) .

Result

closing_golayclosing_golayclosing_golayClosingGolayClosingGolay returns 2 (H_MSG_TRUE) if all parameters are correct. The behavior in case of empty or no input region can be set via:

• no region: set_system('no_object_result',<RegionResult>)

• empty region: set_system('empty_region_result',<RegionResult>)

Otherwise, an exception is raised.

Possible Predecessors

thresholdthresholdthresholdThresholdThreshold, regiongrowingregiongrowingregiongrowingRegiongrowingRegiongrowing, connectionconnectionconnectionConnectionConnection, union1union1union1Union1Union1, watershedswatershedswatershedsWatershedsWatersheds, class_ndim_normclass_ndim_normclass_ndim_normClassNdimNormClassNdimNorm

Possible Successors

reduce_domainreduce_domainreduce_domainReduceDomainReduceDomain, select_shapeselect_shapeselect_shapeSelectShapeSelectShape, area_centerarea_centerarea_centerAreaCenterAreaCenter, connectionconnectionconnectionConnectionConnection

Alternatives

closingclosingclosingClosingClosing

See also

erosion_golayerosion_golayerosion_golayErosionGolayErosionGolay, dilation_golaydilation_golaydilation_golayDilationGolayDilationGolay, opening_golayopening_golayopening_golayOpeningGolayOpeningGolay, hit_or_miss_golayhit_or_miss_golayhit_or_miss_golayHitOrMissGolayHitOrMissGolay, thinning_golaythinning_golaythinning_golayThinningGolayThinningGolay, thickening_golaythickening_golaythickening_golayThickeningGolayThickeningGolay, golay_elementsgolay_elementsgolay_elementsGolayElementsGolayElements

Module

Foundation