circularitycircularityCircularityCircularitycircularity (Operator)

Name

circularitycircularityCircularityCircularitycircularity — Shape factor for the circularity (similarity to a circle) of a region.

Signature

circularity(Regions : : : Circularity)

Description

The operator circularitycircularityCircularityCircularitycircularity calculates the similarity of the input region with a circle.

Calculation:

If F is the area of the region and max is the maximum distance from the center to all contour pixels, the shape factor C is defined as:

C = min(1,C')

The shape factor C of a circle is 1. If the region is long or has holes, C is smaller than 1. The operator circularitycircularityCircularityCircularitycircularity especially responds to large bulges, holes and unconnected regions. The value of C is clipped to 1.0, because the pixel area of a region can only be an approximation of a real circle's area. This approximation error is bigger for small regions than for large regions.

In the documentation of this chapter (Regions / Features), you can find an image illustrating regions which vary in their circularity.

In case of an empty region the operator circularitycircularityCircularityCircularitycircularity returns the value 0 (if no other behavior was set (see set_systemset_systemSetSystemSetSystemset_system)). If more than one region is passed the numerical values of the shape factor are stored in a tuple, the position of a value in the tuple corresponding to the position of the region in the input tuple.

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

RegionsRegionsRegionsregionsregions (input_object) region(-array) → object

Region(s) to be examined.

CircularityCircularityCircularitycircularitycircularity (output_control) real(-array) → (real)

Circularity of the input region(s).

Assertion: 0 <= Circularity && Circularity <= 1.0

Example (HDevelop)

* Comparison between shape factors of rectangle, circle and ellipse:
gen_rectangle1(R1,10,10,20,20)
gen_rectangle2(R2,100,100,0.0,100,20)
gen_ellipse(E100,100,100,0.0,100,20)
gen_circle(C,100,100,20)
circularity(R1,M_R1)
circularity(R2,M_R2)
circularity(E100,M_E)
circularity(C,M_C)
fwrite_string(FileId,['quadrate:  ',M_R1])
fnew_line(FileId)
fwrite_string(FileId,['rectangle: ',M_R2])
fnew_line(FileId)
fwrite_string(FileId,['ellipse:   ',M_E])
fnew_line(FileId)
fwrite_string(FileId,['circle:    ',M_C])
fnew_line(FileId)

Example (C)

/* Comparison between shape factors of rectangle, circle and ellipse */
gen_rectangle1(&R1,10.0,10.0,20.0,20.0);
gen_rectangle2(&R2,100.0,100.0,0.0,100.0,20.0);
gen_ellipse(&E,100.0,100.0,0.0,100.0,20.0);
gen_circle(&C,100.0,100.0,20.0);
circularity(R1,&R1_);
circularity(R2,&R2_);
circularity(E,&E_);
circularity(C,&C_);
printf("quadrate:   %g\n",R1_);
printf("rectangle:  %g\n",R2_);
printf("ellipse:    %g\n",E_);
printf("circle:     %g\n",C_);

Example (C++)

#include "HIOStream.h"
#if !defined(USE_IOSTREAM_H)
using namespace std;
#endif
#include "HalconCpp.h"
using namespace Halcon;

int main (int argc, char *argv[])
{
  if (argc < 2)
  {
    cout << "Usage: " << argv[0] << " <# of regions> " << endl;
    return (-1);
  }

  HWindow        w;
  HRegionArray   reg;

  int NumOfElements = atoi (argv[1]);

  cout << "Draw " << NumOfElements << " regions " << endl;

  for (int i=0; i < NumOfElements; i++)
  {
    reg[i] = w.DrawRegion ();
  }

  Tuple circ = reg.Circularity ();
  Tuple cont = reg.Contlength ();

  for (i = 0; i < NumOfElements; i++)
  {
    cout << "Circularity of " << i+1 << ". region = " << circ[i].D();
    cout << "\t\t Contour Length of" << i+1 <<
            ". region = " << cont[i].D() << endl;
  }

  w.Click ();
  return(0);
}

Example (HDevelop)

* Comparison between shape factors of rectangle, circle and ellipse:
gen_rectangle1(R1,10,10,20,20)
gen_rectangle2(R2,100,100,0.0,100,20)
gen_ellipse(E100,100,100,0.0,100,20)
gen_circle(C,100,100,20)
circularity(R1,M_R1)
circularity(R2,M_R2)
circularity(E100,M_E)
circularity(C,M_C)
fwrite_string(FileId,['quadrate:  ',M_R1])
fnew_line(FileId)
fwrite_string(FileId,['rectangle: ',M_R2])
fnew_line(FileId)
fwrite_string(FileId,['ellipse:   ',M_E])
fnew_line(FileId)
fwrite_string(FileId,['circle:    ',M_C])
fnew_line(FileId)