[mmthick] [Up] [mmwatershed] Thinning And Thickening

mmthin
Image transformation by thinning.

Synopsis

function y = mmthin ( f , Iab , n , theta , DIRECTION )

Input

f	Image Binary image
Iab	Interval Default: `Interval for homotopic thinning`
n	Double Non-negative integer. Default: `Infinite (denoted by -1)` Number of iterations.
theta	Double Default: `45` Degrees of rotation: 45, 90, or 180.
DIRECTION	String Default: `'CLOCKWISE'` Direction of rotation: 'CLOCKWISE' or ' ANTI-CLOCKWISE'

Output

y	Image Binary image

Description

mmthin creates the binary image y by performing a thinning of the binary image f. The number of iterations of the thinning is n and each iteration is performed by subtracting the points that are detect in f by hit-miss operators characterized by rotations of theta of the interval Iab. When n is infinite and the interval is mmhomothin (default conditions), mmthin gives the skeleton by thinning.

Examples

f=mmreadgray('scissors.tif');

f1=mmthin(f);

mmshow(f,f1); % skeleton

f2=mmthin(f1,mmendpoints,15); % prunning 15 pixels

mmshow(f,f2); % prunned skeleton


f,f1	f,f2

Equation

Algorithm

function y = mmthin_equ( f, Iab, n, theta, DIRECTION )
  y = f;
  for i=1:n
    for alpha=0:theta:360-theta
      Iab = mminterot(Iab, alpha, DIRECTION);
      y = mmsubm(y,mmsupgen(y,Iab));
    end;
  end;

mmfreedom	Control automatic data type conversion.
mmcthin	Image transformation by conditional thinning.
mmthick	Image transformation by thickening.
mmendpoints	Interval to detect end-points.
mmhomothin	Interval for homotopic thinning.
mmse2hmt	Create a Hit-or-Miss Template (or interval) from a pair of structuring elements.

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mmthin Image transformation by thinning.