
166 ◾ Moises Padilla and Manuel Servin
; the conjugate (1/2) b(x, y) exp[−iφ(x, y)] is modulated by
, so it is located around the circle of radius
.
us, the demodulated phase information is found by minimizing
the following functional:
=−
+η −− +η
−ωρ
∈
[(,)]{|(,) (,)|
|(,) (1,)||(,)(,1)| }.
2
(,)
0
Ufxy fxyIxye
fxyfxy fxyfxy
i
xy P
(5.52)
We can see that this functional uses =ω +=
(,)
0
22
0
cxyxy
as
a spatial carrier, and the membrane-ltering potential remains the
same. e Fourier spectrum of the searched analytic signal aer the
regularized low-pass ltering, F{(1/2) b(x, y) exp[iφ(x, y)]}, is shown
in panel 5.11f. Note ...