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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 2020-09-28