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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
4.2
Sampling Using Orthonormal Functions
103
curve corresponds to the normalized sampling error for this case. It is clear
from the figure that for a given number of samples, Fourier sampling is more
efficient than standard sampling.
4.2.4 Optimal Sampling
Optimal sampling of a random field defined over a region Sf of the xj-plane
is achieved by that set of orthonormal functions (p
mn
(x, y) which for every
Μ and
TV
yields the minimum value for the sampling error ε
ΜΝ
. Since the first
term in (46) is independent of the choice of the orthonormal basis, ε
ΜΝ
is
minimized when the second term, i.e., the nonnegative quantity
Λί-l N-l rB/2 ΓΑ/2 fB/2 ...
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Publisher Resources

ISBN: 9780323139915