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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
38
2 Mathematical Preliminaries
Let this system have a single real solution z
l9
z
2
, ...,z„; then it can be shown
that
p
01
,...,e„(yi>y2>--->y*)
=
Pft
/
w
(*l>*2,
··-,*„)
\J(z
l9
z
29
...
9
z
n
)\
where J
9
called the Jacobian of transformation (80), is given by
J(z
i9
z
2
,...,z„)
dz
x
3z
2
dz
λ
dz
2
(91)
(92)
If Eqs. (90) have more than one solution, then we add in the right-hand
side (91) the corresponding expressions resulting from all the solutions. For
a proof of (91), see, for example, Papoulis [9].
2.4 RANDOM FIELDS
2.4.1 Definition of a Random Field
In Section 2.3.4, we discussed sets of random variables over the set Ω.
We will now generalize this discussio ...
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Publisher Resources

ISBN: 9780323139915