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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
2.1
Linear Operations
on
Pictures
15
Fig.
3
Sinc(*,
y).
the Fourier transform of the Dirac δ function is the limit of the sequence of
Fourier transforms s'mc(u/n, v/n). In other words, when
f(x,y) = S(x,y)
then
F(u,v) = lim s'mc(uln,v/n) =1 (13)
By multiplying both sides of Eq. (12) by exp [/2π(wa+ , integrating both
sides with respect to u and v, and making use of Eq. (7), it is easily shown that
f*
QO
Λ
oo
F(u,
v)
exp
Ijln
(u<x
+
vß)~]
du dv =
/(α,
β) (14)
J
00
J
00
or equivalently
Λ
oo
Λ
oo
f(x,y)= F(u, v) txp\_j2n(ux + vy)~\ du dv (15)
J
00
J
CO
which is called the inverse Fourier transform of F(u,v). By Eqs, (12) and (15),
f(x, ...
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Publisher Resources

ISBN: 9780323139915