
8.4 Aliasing Artifacts in Reconstructed Images
383
by multiplying the product of the two FFTs by a Hamming window. When
such a window is incorporated, (47a) may be written as
Qe(m) = τ χ 1¥¥Ί{¥¥Ύ(Ρ
θ
(ητ) with ZP) χ ¥¥T(h(m) with ZP)
χ smoothing window} (47b)
After the filtered projections ζ)
θ
(ητ) are determined with the alternative
implementation presented here, the rest of the procedure for recon-
structing the image is the same as in the preceding subsection. That is, we
use (29) for backprojections and their summation. Again, as before, for a
given (x, y) and 0
f
the argument χ cos 0
f
+ y sin 0
f
may not correspond to
one of the kz at which