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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
374
8 Reconstruction
Fig. 12 The inverse Fourier transform of \\v\ e
f:|vv|
.
Now we present our second comment about (21). This equation may also
be written as
Qe(t) = Γ j2nwS
e
(xv) -t sgn(w)
J-oo |_
2π
e
j2nwt
dw
where
sgn(w) = 1 for w > 0
=
1
for w < 0
(33)
(34)
By using the standard convolution theorem the above may be expressed
as
Qe(t) = {IFT ofj2nwS
e
(w)} * <IFT of-^-sgn(w)
' 2n
(35)
8.3
The Filtered-Backprojection Algorithm
375
where the symbol * denotes convolution and the abbreviation IFT stands
for inverse Fourier transform. The IFT o ...
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Publisher Resources

ISBN: 9780323139915