thickening_seq ( Region : RegionThick : GolayElement, Iterations : )

Add the result of a hit-or-miss operation to a region (sequential).

thickening_seq calculates the sequential thickening of the input regions with a structuring element from the Golay alphabet (GolayElement). To do so, thickening_seq calls the operator thickening_golay with all possible rotations of the structuring element Iterations times. The following structuring elements are available:

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

The Golay elements, together with all possible rotations, are described with the operator golay_elements. For all elements of the Golay alphabet, except for 'c', the foreground and background masks are exchanged in order to have an effect for them on the outer boundary of the region. The element 'c' can be used to generate the convex hull of the input region if enough iterations are performed.


Parameters

Region (input_object)
region(-array) -> object
Regions to be processed.

RegionThick (output_object)
region(-array) -> object
Result of the thickening operator.

GolayElement (input_control)
string -> string
Structuring element from the Golay alphabet.
Default value: 'h'
List of values: 'l', 'm', 'd', 'c', 'e', 'i', 'f', 'f2', 'h', 'k'

Iterations (input_control)
integer -> integer
Number of iterations.
Default value: 1
Suggested values: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 17, 20, 30, 40, 50, 70, 100, 200
Typical range of values: 1 <= Iterations
Minimum increment: 1
Recommended increment: 1


Complexity

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

      O(Iterations * 6 * sqrt(F)) .


Result

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

  a) no region:    set_system('no_object_result',<RegionResult>)
  b) empty region: set_system('empty_region_result',<RegionResult>)
Otherwise, an exception is raised.


Parallelization Information

thickening_seq is reentrant and automatically parallelized (on tuple level).


Possible Successors

reduce_domain, select_shape, area_center, connection


Alternatives

thickening_golay, thickening


See also

erosion_golay, thinning_seq


Module

Foundation



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