[mmhmax] [Up] [mminpos] Connected Operators

mminfrec
Inf-reconstruction.

Synopsis

y = mminfrec( f, g, bc = None )

Implemented in Python.

Input

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

Marker image.

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

Conditioning image.

bc Structuring Element

Structuring element ( connectivity).

Default: None (3x3 elementary cross)

Output

y Image

Description

mminfrec creates the image y by an infinite number of recursive iterations (iterations until stability) of the dilation of f by bc conditioned to g. We say the y is the inf-reconstruction of g from the marker f. For algorithms and applications, see Vinc:93b.

Examples

Binary image:
>>> g=mmreadgray('text_128.tif')

              
>>> f=mmero(g,mmseline(9,90))

              
>>> y=mminfrec(f,g,mmsebox())

              
>>> mmshow(g)

              
>>> mmshow(f)

              
>>> mmshow(y)

            
g f y
Gray-scale image:
>>> g=mmneg(mmreadgray('n2538.tif'))

              
>>> f=mmintersec(g,0)
Warning: Converting input image from int32 to uint8.
>>> f=mmdraw(f,'LINE:40,30,60,30:END')

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

              
>>> y=mminfrec(f,g,mmsebox())

              
>>> mmshow(g)

              
>>> mmshow(f)

              
>>> mmshow(y30)

              
>>> mmshow(y)

            
g f y30 y

Equation

Source Code

def mminfrec(f, g, bc=None):
    from Numeric import product
    if bc is None: bc = mmsecross()
    n = product(f.shape)
    y = mmcdil(f,g,bc,n);
    return y
    

See also

mmfreedom Control automatic data type conversion.
mmsuprec Sup-reconstruction.
mmsebox Create a box structuring element.
mmsecross Diamond structuring element and elementary 3x3 cross.
mmcdil Dilate an image conditionally.
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