mmsupcanon - Union of sup-generating or hit-miss operators.

Synopsis

y = mmsupcanon( f, Iab, theta, DIRECTION )

Input

f: Binary image (logical uint8).

Iab: Interval.

theta: Degrees of rotation: 45, 90, or 180. Default: 45.

DIRECTION: String. 'CLOCKWISE' or ' ANTI-CLOCKWISE' Default: "CLOCKWISE".

Output

y: Binary image (logical uint8).

Description

mmsupcanon creates the image y by computing the union of transformations of the image f by sup-generating operators. These hit-miss operators are characterized by rotations (in the clockwise or anti-clockwise direction) of theta degrees of the interval Iab.

Examples

Numerical example:

f=mmbinary(uint8([ 0 0 1 0 0 1 1; 0 1 0 0 1 0 0; 0 0 0 1 1 0 0])) f = 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 i=mmendpoints; mmintershow(i) ans = . . . 0 1 0 0 0 0 g=mmsupcanon(f,i) g = 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0

Image example

a=mmbinary(mmreadgray('gear.tif')); Warning: Converting image from binary uint8 to uint8. b=mmsupcanon(a,mmendpoints); mmshow(a); mmshow(mmdil(b)); (a) (mmdil(b))

Equation

Algorithm

function y=mmsupcanon_equ( f, Iab, theta, DIRECTION )
  y = uint8(zeros(size(f)));
  y = mmunion(y,mmsupgen(f, Iab));
  alpha = theta;
  while alpha < 360
    Irot = mminterot( Iab, alpha, DIRECTION );
    y = mmunion(y,mmsupgen(f, Irot));
    alpha = alpha + theta;
  end; 

See Also

mmendpoints - Interval to detect end-points.

mmfreedom - Control automatic data type conversion.

mmhomothick - Interval for homotopic thickening.

mmhomothin - Interval for homotopic thinning.

mmse2hmt - Create a Hit-or-Miss Template (or interval) from a pair of structuring elements.

mmsupgen - Sup-generating (hit-miss).

mmthin - Image transformation by thinning.

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