Image Processing Reference
In-Depth Information
Ref
Causal V Ψ
(a)
(b)
3
80
80
60
6
60
40
20
0
-20
-40
-60
-80
-80 -60 -40 -20
2
5
40
20
0
-20
-40
-60
-80
-80 -60 -40 -20
1
4
0
3
-1
2
-2
1
-3
0
0 0406080
mm
0 0406080
mm
(c)
(d)
Filter
1
80
80
12
0.9
60
40
20
0
-20
-40
-60
-80
-80 -60 -40 -20
60
40
20
0
-20
-40
-60
-80
-80 -60 -40 -20
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
10
8
6
4
2
0 0406080
mm
0 0406080
mm
(e)
80
2.6
60
40
20
0
-20
-40
-60
-80
-80 -60 -40 -20
2.4
2.2
2
1.8
1.6
1.4
0 0406080
mm
Figure 9.11 Homomorphic filtering applied to FoamDielInt at 6 GHz: (a) Causal k -space data with reference
point, (b) minimum phase V Ψ , (c) log-plot of cepstral domain, (d) Gaussian filter, and (e) cepstral reconstruction.
that | kVa | ≪ 1. In addition, Figure 9.14b illustrates that for high frequencies
the k -space coverage available from the measured data is insufficient to avoid
strong side lobes, which can appear as replicas of the central lobe.
This means that for a reconstruction based on the Born approximation one
would expect an optimum performance at some lower frequencies, perhaps
including more measured data at a larger number of incident and scattering
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