Tf the lens distortion curve be designed as ¢ = f(r) we get for a
point according to fig. 12.
r
yı = Mr) sin ß > fir): TE. rens ns (8)
az fro) Ta ig 3 + (9)
Now the conditions for yg—y, 2 0 is to be examined and we get
: e
lim | ro: tg ag — f(ry) el m0... (10)
nb
ro—» 0
That would mean that tg ag > f(r,):b which will give an incon-
gruity in this case. Therefore
yz € 0
for all points of the curve.
Due to the symbols of the lens distortion curve in question the tilt
de, became negative and the corresponding tilt dea positive resulting
in a divergence of the optical axis of the instrument. As a fact these
tilts were quite perceptible to the eyes.
Consequently, the parabolic cylinder has its concave face turned
against the base.
The calculation has given the figures as follows:
P m dn dh
a) Aviogon lens + Infra-filter
Overlap 60 % ......-+..+-+"-- 290 y 34,°°6 6,50 m
» 05 % iinet 200 y 30,777 5,00 m
b) Aviogon lens
Overlap 65 % ......++++++ +0 ++ 64 0,9 0,15 m
36 Practical Test of the Model Deformation
As mentioned above the infra material had to be used to an unexpec-
ted extent. So the railroad line has been photographed by use of both
materials. Strange to say, this fact has contributed to give a practical
proof of the theoretical investigation here presented, The use of diffe-
rent film materials required some pictures overlap, of course, when a
strip already begun had to be carried on. Fortunately, one pancro strip
had an overlap by an infra strip as well as the strips covered each other
in a satisfactory way laterally.
Thanks to this fact the model deformation of the infra filter could
be checked by an instrumental measuring of some corresponding pairs
of stereoscopic pictures.
19