Microscope Image Processing

focus measure, the fusion map, and the composite image are all carried out on

the coefficient data resulting from the multiresolution transform. For image

fusion based on the wavelet transform, we denote the 2-D wavelet transform as

S

2

J

I(x, y) ¼ (I  f

2

j

)(x, y)

W

k

2

j

I(x, y) ¼ (I  c

k

2

j

)(x, y)



, j ¼ 0, 1, ..., J, k ¼ 1, 2, 3 (16:18)

where S

2

J

I(x, y) is the scaling component of the transform, f

2

j

is the corre-

sponding scaling function, W

k

2

j

I(x, y) is the wavelet component of the transform

on image I(x, y) at resolution j and in subband k, c

k

2

j

is the corresponding

wavelet, and J is the minimum resolution (i.e., maximum decomposition) level

to be computed. The component focus measure at (x, y) based on the wavelet

transform of the nth optical section image ...