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For the analytical determination of light fall - off, exact coordi-
nates for particular grey values have to be known, related to the image
center as origin. Consequently the reseau marks were used to guarantee
uniform distribution of measurements.
. . Abb.
+ + + + + 1.3 1.4
+ MR E rene
© ho, r 1.1
Socr d Ter a
T T " T zz Fig.5: Configuration during point-
wise measurement of grey values
e Jd: ^ + de Distance A was controlled by the iris
edge of the microdensitometer
Fig. 5 illustrates the point configuration: per image 100 measurements
had to be made (executed by ALVES /1/). For each f = 1 : 5,6 and
f=1:8 14 images were evaluated; this finally makes 2800 values.
e
a - % . e : °%
Po 9o. e
te v" * eo
1 to
8
T T T T T
T T T T T T T T-—T T T T T Tou T T
1 2 3.4 5 6 7
9 10 11 12 13 14 15 15-17 16 19 20 21 22 23 24 25
Image Center J
Fig. 6: Distribution of densities at reseau marks within the LAMBERT-
reflector full frame photography
Fig. 6 shows a result for one image (f = 1 : 5,6). Every point corre-
sponds to one measurement. The "nests" of 4 points around the reseau
marks and the characteristic behavior of the grey level along the scan
lines (1... 4, 5 ... 8 etc., see Fig. 4) can be detected clearly. For
all measurements, grey wedge D 1247 was used, where 1 cm (z) corre-
sponds to 0,1 D. All values were related to the brightest point in the
image center.
It is common to describe the light fall - off by a cosine function,
admitting a radial and symetric behavior of the phenomenon (see SIEVERS
/7/). This actually can be done here, yet with respect to a superim-
posed linear light fall - off caused by the shadow from the ground.
Approximative computation showed that
3
D. «f (1-cos a0) ; D. = A = 1)
a a cos a
D =f (1 - cos” o) $5, «s f( le 1)
9 cos a
and D -f(1-cos'a)