mmcthick - Image transformation by conditional thickening.

Synopsis

y = mmcthick( f, g, Iab, n, theta, DIRECTION )

Input

f: Binary image (logical uint8).

g: Binary image (logical uint8).

Iab: Interval. Default: Homotopic thickening interval (mmhomothick).

n: Non-negative integer. Number of iterations. Default: Infinite (-1).

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

mmcthick creates the binary image y by performing a thickening of the binary image f conditioned to the binary image g. The number of iterations of the conditional thickening is n and in each iteration the thickening is characterized by rotations of theta of the interval Iab.

Examples

Pseudo convex hull

f=imread('blob2.tif'); mmshow(f); t=mmse2interval(mmimg2se(logical(uint8([0 0 0;0 0 1;1 1 1]))),... mmimg2se(logical(uint8([1 1 1;1 0 1;1 1 1])))); mmintershow(t) ans = . . . . 0 1 1 1 1 f1=mmthick(f,t,40); % The thickening makes the image border grow mmshow(f1); (f) (f1)

f2=mmcthick(f,mmneg(mmframe(f)),t,40); % conditioning to inner pixels fn=mmcthick(f,mmneg(mmframe(f)),t); %pseudo convex hull mmshow(f2); mmshow(fn,f); (f2) (fn,f)

Equation

Algorithm

function y = mmcthick_equ( f, g, Iab, n, theta, DIRECTION )
  y = f;
  for i=1:n
    for alpha=0:theta:360-theta
      Iab = mminterot(Iab, alpha, DIRECTION);
      y = mmintersec(mmunion(y,mmsupgen(y,Iab)),g);
    end;
  end; 

See Also

mmfreedom - Control automatic data type conversion.

mmhomothick - Interval for homotopic thickening.

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

mmthick - Image transformation by thickening.

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