picture is a 256 χ 256 matrix each element of which is an
8-bit
number. There-
fore,
the total number of bits required to represent the picture is 2
8
χ 2
8
χ 2
3
=
2
19
.
Let us partition this picture into 256 16x16 subpictures for convenience
in numerical implementation (Fig. 2). Each subpicture may now be trans-
formed into uncorrelated coefficients by first finding the eigenvectors and the
corresponding eigenvalues of the [*] matrix, which is 256 χ 256. Note that
for a homogeneous random field [#] would be the same for each subpicture ...
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