[mmseunion] [Up] [mmcero] Dilations And Erosions

mmcdil
Dilate an image conditionally.

Synopsis

function y = mmcdil ( f , g , b , n )

Input

f Image Gray-scale (uint8 or uint16) or binary image
g Image Gray-scale (uint8 or uint16) or binary image

Conditioning image.
b Structuring Element

Default: 3x3 elementary cross
n Double Non-negative integer.

Default: 1

(number of iterations).

Output

y Image

Description

mmcdil creates the image y by dilating the image f by the structuring element b conditionally to the image g. This operator may be applied recursively n times.

Examples

Numerical examples:
f=mmbinary(uint8([...

 1 0 0 0 0 0 0;...

 0 0 0 0 0 0 0;...

 0 0 0 0 1 0 0]));

g=mmbinary(uint8([...

 1 1 1 0 0 1 1;...

 1 0 1 1 1 0 0;...

 0 0 0 0 1 0 0]));

y1=mmcdil(f,g,mmsecross)

y1 =
     1     1     0     0     0     0     0
     1     0     0     0     1     0     0
     0     0     0     0     1     0     0

y2=mmcdil(f,g,mmsecross,3)

y2 =
     1     1     1     0     0     0     0
     1     0     1     1     1     0     0
     0     0     0     0     1     0     0

f=uint8([...

    0     0    0    80    0    0;...

    0     0    0     0    0    0;...

   10    10    0   255    0    0]);

g=uint8([...

    0     1    2    50    4    5;...

    2     3    4     0    0    0;...

   12   255   14    15   16   17]);

y1=mmcdil(f,g,mmsecross)

y1 =
    0    0    2   50    4    0
    2    3    0    0    0    0
   10   10   14   15   15    0

y2=mmcdil(f,g,mmsecross,3)

y2 =
    0    1    2   50    4    4
    2    3    4    0    0    0
   12   14   14   15   15   15
Binary image:
g=mmreadgray('pcb1bin.tif');

f=mmframe(g,5,5);

y5=mmcdil(f,g,mmsecross,5);

y25=mmcdil(f,g,mmsecross,25);

mmshow(g);

mmshow(g,f);

mmshow(g,y5);

mmshow(g,y25);
g g,f
g,y5 g,y25
Gray-scale image:
g=mmneg(mmreadgray('n2538.tif'));

f=mmintersec(g,0);

Warning: converting image from scalar to uint8

f=mmdraw(f,'LINE:40,30,60,30:END');

y1=mmcdil(f,g,mmsebox);

y30=mmcdil(f,g,mmsebox,30);

mmshow(g);

mmshow(f);

mmshow(y1);

mmshow(y30);
g f y1 y30

Equation

Algorithm

function y=mmcdil_equ(f,g,b,n)
  y = mmintersec(f,g);
  for i=1:n
    dil = mmdil(y,b);
    y = mmintersec(dil,g);
  end

See also

mmfreedom Control automatic data type conversion.
mmdil Dilate an image by a structuring element.
mmsebox Create a box structuring element.
mmsecross Diamond structuring element and elementary 3x3 cross.
mmimg2se Create a structuring element from a pair of images.
mminfrec Inf-reconstruction.
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