Herror ::erosion_circle (
    Hobject Region,
    Hobject *RegionErosion,
    const HTuple &Radius
)
HRegion HRegion::ErosionCircle (
    const HTuple &Radius
) const
HRegionArray HRegionArray::ErosionCircle (
    const HTuple &Radius
) const

Erode a region with a circular structuring element.

::erosion_circle applies a Minkowski subtraction with a circular structuring element to the input regions Region. Because the circular mask is symmetrical, this is identical to an erosion. The size of the circle used as structuring element is determined by Radius.

The operator results in reduced regions, smoothed region boundaries, and the regions smaller than the circular mask are eliminated. It is useful to select only values like 3.5, 5.5, etc. for Radius in order to avoid a translation of a region, because integer radii result in a circle having a non-integer center of gravity which is rounded to the next integer.


Parameters

Region (input_object)
region(-array) -> Hobject: HRegion(Array)
Regions to be eroded.

RegionErosion (output_object)
region(-array) -> Hobject * : HRegion(Array)
Eroded regions.

Radius (input_control)
real -> HTuple.double / long
Radius of the circular structuring element.
Default value: 3.5
Suggested values: 1.5, 2.5, 3.5, 4.5, 5.5, 7.5, 9.5, 12.5, 15.5, 19.5, 25.5, 33.5, 45.5, 60.5, 110.5
Typical range of values: 0.5 <= Radius <= 511.5 (lin)
Minimum increment: 1.0
Recommended increment: 1.0


Example
#include  <iostream.h>
#include  "HalconCpp.h"

main()
{
  cout << "Simulation of 'erosion_circle ()'" << endl;
  cout << "First = original image " << endl;
  cout << "Red   = after segmentation " << endl;
  cout << "Blue  = after erosion " << endl;

  HByteImage img("monkey");
  HWindow    w;

  HRegion      circ   = HRegion::GenCircle (10, 10, 1.5);
  HRegionArray regs   = (img >= 128).Connection();
  HRegionArray minsub = regs.MinkowskiSub1 (circ, 1);

                         img.Display (w);      w.Click ();
  w.SetColor ("red");   regs.Display (w);     w.Click ();
  w.SetColor ("blue");  minsub.Display (w);   w.Click ();

  return(0);
}

Complexity

Let F1 be the area of an input region. Then the runtime complexity for one region is:

       O(2 * Radius * sqrt(F1)) .


Result

::erosion_circle returns 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.


Possible Predecessors

::threshold, ::regiongrowing, ::watersheds, ::class_ndim_norm


Possible Successors

::connection, ::reduce_domain, ::select_shape, ::area_center


Alternatives

::minkowski_sub1


See also

::gen_circle, ::dilation_circle, ::closing_circle, ::opening_circle


Module

Morphology



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