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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
93
4.2 SAMPLING USING ORTHONORMAL FUNCTIONS
The aim of sampling is to represent a picture by a finite string or array of
numbers. As long as it is possible to reconstruct a picture from these numbers,
the samples need not correspond to gray levels on a sampling lattice in the
picture plane. In this section, we will show that if we expand a picture function
in terms of a set of orthonormal functions, we may take the coefficients of the
expansion as the picture samples.
4.2.1 Orthonormal Expansions
Let f(x,y) be a real function defined over a region of the *j>-plane.
The function f(x, y) is assumed to
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Publisher Resources

ISBN: 9780323139915