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Digital Picture Processing, 2nd Edition
book

Digital Picture Processing, 2nd Edition

by Azriel Rosenfeld, Avinash C. Kak
January 2014
Intermediate to advanced content levelIntermediate to advanced
435 pages
18h 42m
English
Morgan Kaufmann
Content preview from Digital Picture Processing, 2nd Edition
390
8 Reconstruction
8.5 NOISE IN RECONSTRUCTED IMAGES
8.5.1 The Continuous Case
Consider the case where each projection, P
e
(t\ is corrupted by additive
noise ν
θ
(ί)· The measured projections,
P
0m
(O>
are now given by
PAO = Peit) + ν
θ
) (48)
We will assume that the noise is a stationary zero-mean random process and
that its values are uncorrelated for any two rays in the system. Therefore,
£{ν
θι
(ί!)ν
θ2
2
)}
= S
0
<5(0i " θ
2
) S(t
x
- t
2
) (49)
The reconstruction from the measured projection data is obtained by first
filtering each projection:
ÖA0 = |°
SAw)
I
w
I
G(w)e
j2nwt
dw (50)
where S
e
m
(w) is the Fourier transform of Ρ AO
an
d G(w)
IS
th
e
smoothin ...
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Publisher Resources

ISBN: 9780323139915