dilation_golayDilationGolayDilationGolaydilation_golaydilation_golay🔗

Short description🔗

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

Warning🔗

dilation_golayDilationGolay is obsolete and is only provided for reasons of backward compatibility.

Signature🔗

dilation_golay( region Region, out region RegionDilation, string GolayElement, integer Iterations, integer Rotation )

Description🔗

dilation_golayDilationGolay dilates a region with the selected element GolayElementgolayElementgolay_element from the Golay alphabet. The following structuring elements are available:

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

The rotation number Rotationrotationrotation 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_elementsGolayElements. The operator works by shifting the structuring element over the region to be processed (Regionregionregion). 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 Iterationsiterationsiterations 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 Rotationrotationrotation are valid for any Golay element. For some of the values of Rotationrotationrotation, the resulting regions are identical to the input regions.

Execution information🔗

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🔗

Regionregionregion (input_object) region(-array) → objectHObjectHRegionHObjectHobject

Regions to be dilated.

RegionDilationregionDilationregion_dilation (output_object) region(-array) → objectHObjectHRegionHObjectHobject *

Dilated regions.

GolayElementgolayElementgolay_element (input_control) string → (string)HTuple (HString)HTuple (string)strHtuple (char*)

Structuring element from the Golay alphabet.

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

Iterationsiterationsiterations (input_control) integer → (integer)HTuple (Hlong)HTuple (int / long)intHtuple (Hlong)

Number of iterations.

Default: 11
Suggested values: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 17, 20, 30, 40, 50
Value range: 1 ≤ Iterations (lin)
Minimum increment: 1
Recommended increment: 1

Rotationrotationrotation (input_control) integer → (integer)HTuple (Hlong)HTuple (int / long)intHtuple (Hlong)

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

Default: 00
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:

\[\begin{eqnarray*} O(3 \cdot \sqrt{F}) \enspace . \end{eqnarray*}\]

Result🔗

dilation_golayDilationGolay 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.

Combinations with other operators🔗

Combinations

Possible predecessors

thresholdThreshold, regiongrowingRegiongrowing, connectionConnection, union1Union1, watershedsWatersheds, class_ndim_normClassNdimNorm

Possible successors

reduce_domainReduceDomain, select_shapeSelectShape, area_centerAreaCenter, connectionConnection

Alternatives

dilation1Dilation1, dilation2Dilation2, dilation_seqDilationSeq

Module🔗

Foundation