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CORRELATE

CORRELATE
Computes correlation of two images or data cubes. The result is an im-
age (data cube) containing
Out(i,j) = < In1(k-i,l-j)*In2(k,l) > averaged over k,l
For mode correlation (MODE$ = YES)
or
Out(i,j) = - < In1(k-i,l-j)**2 + In2(k,l)**2
- 2 * In1(k-i,l-j)*In2(k,l) > averaged over k,l
For mode square (MODE$ = NO). The correlation is higher when
Out(i,j) is near 0. With the minus sign, this means that maximum
values indicate highest correlations.
Actually, linear conversion formulas are used to keep the correlation
image meaningful in user coordinates. The input images must match.
When used for example to recenter images, the position of the maximum of
the correlation image yields the required recentering. MODE$ YES (Corre-
lation) is to be used when the input distribution has a finite extent,
while MODE$ NO (Square) can be used in any case, but is somewhat slower
of course.

Gildas manager
2021-01-19