: d 1
ns a (1)
The measurement is desraded particularly by vibrations of
the plane about its cross axis. The error caused by the lack
of certainty whether row II actually scans the very strip
previously registered by row I can be reduced by optical smearing.
PROCESSING OF THE OBTAINED DATA
The comparison of the brishtness profiles of row I and row II
mentioned above means a determination of the degree of correla-
tion between the two rows. Row II has recognized the bright-
ness profile of row I if the correlation measure adopts an
extremum. the time available (At = 50 ms) is too short to.
allow the correlation function to be determined. As a sub-
stitute, the mean of the absolute differences (MAD) of the
pixel values is formed. This MAD function has a minimum where-
ever the correlation function has a maximum /1/. Thus, the
search for maximum correlation will, hereafter, always be a
search for the minimum of the MAD function. As the formation
of the mean of absolute differences always extends over the
same number of pixel pairs, division by the number u of pixel
pairs may be spared. Then, the formula for computing the MAD
funetion is
u
m( u) => Fa $ or /a) - b(i)| ja = =] ees +] (2)
i=0
where ,u designates the shift of row II relative to row I.
The quéntities a and b are the digilbed brishtnesses of the
pixels of row I and II, respectively. Frequently the diffe-
rence of thefrow means (à - b) is subtracted within the absolute
value siens. This measure would be of importance especially if
the rows were exposed for different times or if different
drifts of the equal shares might occur in case of different
temperatur coefficients due to temperature variation. To
Solve these problems, exposure times are determined anew prior
to every osure cycle and maint_ained through the respective
cycle for both rows. The temperatur problem is further reduced
by mounting both CCD rows on a ceramic base.
In the device here described, the rows have been extended at
either and by |j|=7 pixels, so that altogether 15 shifts are
examined. The pixels used for row extension have to be so
selected that they do not in any case exhibit a correlation
with row II; they only serve the purpose of always having
u pairs of values in order to save the division. Fig. 3 shows
the resulting representation of funetions for five exposures
of row II. The graph also indicates that, with an assumed
shift of three pixels, the correlation maximum, i.e. the MAD
minimum, is found after four correlations. Thus, the v/h ratio
is n=4 and the drift angle = 3. It should be added that in
our instrument a shift by seven pixels corresponds to the
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