For Karhunen-Loev e compression the calculation of the basis matrices for
general covariance functions can require matrix inversions, which are often
of large order for image data. Even after the basis matrices have been de-
termined, the calculation of th e transform coefficients can still be computa-
tionally burdensome. For example, if the representation in (20b) is used,
the calculation of each transform coefficient will take N
2
multiplications
yielding a tota l of N
4
multiplications for all th e N
2
coefficients
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