dilation_golaydilation_golayDilationGolayDilationGolaydilation_golay (Operator)

Name

dilation_golaydilation_golayDilationGolayDilationGolaydilation_golay — Dilate a region with an element from the Golay alphabet.

Warning

dilation_golaydilation_golayDilationGolayDilationGolayDilationGolaydilation_golay is obsolete and is only provided for reasons of backward compatibility.

Signature

dilation_golay(Region : RegionDilation : GolayElement, Iterations, Rotation : )

Description

dilation_golaydilation_golayDilationGolayDilationGolayDilationGolaydilation_golay dilates a region with the selected element GolayElementGolayElementGolayElementGolayElementgolayElementgolay_element from the Golay alphabet. 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_elementsGolayElementsGolayElementsGolayElementsgolay_elements. The operator works by shifting the structuring element over the region to be processed (RegionRegionRegionRegionregionregion). For all positions of the structuring element that intersect the region, the corresponding reference point (relative to the structuring element) is added to the output region. This means that the union of all translations of the structuring element within the region is computed.

The parameter IterationsIterationsIterationsIterationsiterationsiterations determines the number of iterations which are to be performed with the structuring element. The result of iteration n-1 is used as input for iteration n.

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.

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

RegionRegionRegionRegionregionregion (input_object) region(-array) → object

Regions to be dilated.

RegionDilationRegionDilationRegionDilationRegionDilationregionDilationregion_dilation (output_object) region(-array) → object

Dilated regions.

GolayElementGolayElementGolayElementGolayElementgolayElementgolay_element (input_control) string → (string)

Structuring element from the Golay alphabet.

Default: 'h' "h" "h" "h" "h" "h"

List of values: 'c'"c""c""c""c""c", 'd'"d""d""d""d""d", 'e'"e""e""e""e""e", 'f'"f""f""f""f""f", 'f2'"f2""f2""f2""f2""f2", 'h'"h""h""h""h""h", 'i'"i""i""i""i""i", 'k'"k""k""k""k""k", 'l'"l""l""l""l""l", 'm'"m""m""m""m""m"

IterationsIterationsIterationsIterationsiterationsiterations (input_control) integer → (integer)

Number of iterations.

Default: 1

Suggested values: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 17, 20, 30, 40, 50

Value range: 1 ≤ Iterations Iterations Iterations Iterations iterations iterations (lin)

Minimum increment: 1

Recommended increment: 1

RotationRotationRotationRotationrotationrotation (input_control) integer → (integer)

Rotation of the Golay element. Depending on the element, not all rotations are valid.

Default: 0

List of values: 0, 2, 4, 6, 8, 10, 12, 14, 1, 3, 5, 7, 9, 11, 13, 15

Complexity

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

Result

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

Otherwise, an exception is raised.

Possible Predecessors

thresholdthresholdThresholdThresholdThresholdthreshold, regiongrowingregiongrowingRegiongrowingRegiongrowingRegiongrowingregiongrowing, connectionconnectionConnectionConnectionConnectionconnection, union1union1Union1Union1Union1union1, watershedswatershedsWatershedsWatershedsWatershedswatersheds, class_ndim_normclass_ndim_normClassNdimNormClassNdimNormClassNdimNormclass_ndim_norm

Possible Successors

reduce_domainreduce_domainReduceDomainReduceDomainReduceDomainreduce_domain, select_shapeselect_shapeSelectShapeSelectShapeSelectShapeselect_shape, area_centerarea_centerAreaCenterAreaCenterAreaCenterarea_center, connectionconnectionConnectionConnectionConnectionconnection

Alternatives

dilation1dilation1Dilation1Dilation1Dilation1dilation1, dilation2dilation2Dilation2Dilation2Dilation2dilation2, dilation_seqdilation_seqDilationSeqDilationSeqDilationSeqdilation_seq

Module

Foundation

Operators