Skip to Main Content
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
2.5 Vector Space Representation of Images
47
By substituting (124) in this equation, differentiating e with respect to the a^s
and setting each derivative equal to zero, we can show that
£{(s - 8)x
i
} - 0, i = 1,
2,...,
Ν (126)
These results are known as the orthogonality principle in linear mean-square
estimation. The principle says that the error s s must be statistically or-
thogonal to all the random variables used in estimation.
In deriving the above principle, no assumptions were made about the
mean values of the random variables. If they are all zero, the estimate in
(124) would indeed result in the least estimation error. For the cas ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Microscope Image Processing

Microscope Image Processing

Qiang Wu, Fatima Merchant, Kenneth Castleman
Image Processing

Image Processing

Artyom M. Grigoryan, Merughan M. Grigoryan
Image Processing

Image Processing

Tsinghua University Tsinghua University Press, Yujin Zhang

Publisher Resources

ISBN: 9780323139915