closing_golayclosing_golayClosingGolayclosing_golayClosingGolayClosingGolay (Operator)

Name

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

Signature

Description

closing_golayclosing_golayClosingGolayclosing_golayClosingGolayClosingGolay is defined as a Minkowski addition followed by a Minkowski subtraction. First the Minkowski addition of the input region (RegionRegionRegionRegionRegionregion) with the structuring element from the Golay alphabet defined by GolayElementGolayElementGolayElementGolayElementGolayElementgolayElement and RotationRotationRotationRotationRotationrotation 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 RotationRotationRotationRotationRotationrotation 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_elementsGolayElementsgolay_elementsGolayElementsGolayElements.

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

Attention

Not all values of RotationRotationRotationRotationRotationrotation are valid for any Golay element. For some of the values of RotationRotationRotationRotationRotationrotation, 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:

Result

closing_golayclosing_golayClosingGolayclosing_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

thresholdthresholdThresholdthresholdThresholdThreshold, regiongrowingregiongrowingRegiongrowingregiongrowingRegiongrowingRegiongrowing, connectionconnectionConnectionconnectionConnectionConnection, union1union1Union1union1Union1Union1, watershedswatershedsWatershedswatershedsWatershedsWatersheds, class_ndim_normclass_ndim_normClassNdimNormclass_ndim_normClassNdimNormClassNdimNorm

Possible Successors

reduce_domainreduce_domainReduceDomainreduce_domainReduceDomainReduceDomain, select_shapeselect_shapeSelectShapeselect_shapeSelectShapeSelectShape, area_centerarea_centerAreaCenterarea_centerAreaCenterAreaCenter, connectionconnectionConnectionconnectionConnectionConnection

Alternatives

closingclosingClosingclosingClosingClosing

See also

erosion_golayerosion_golayErosionGolayerosion_golayErosionGolayErosionGolay, dilation_golaydilation_golayDilationGolaydilation_golayDilationGolayDilationGolay, opening_golayopening_golayOpeningGolayopening_golayOpeningGolayOpeningGolay, hit_or_miss_golayhit_or_miss_golayHitOrMissGolayhit_or_miss_golayHitOrMissGolayHitOrMissGolay, thinning_golaythinning_golayThinningGolaythinning_golayThinningGolayThinningGolay, thickening_golaythickening_golayThickeningGolaythickening_golayThickeningGolayThickeningGolay, golay_elementsgolay_elementsGolayElementsgolay_elementsGolayElementsGolayElements

Module

Foundation