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In point 3 of fig. 2 the ray from the left picture will cause the linear
distortion dry, and the ray from the right picture the linear distortion
dro (compare fig. 1).
We define a y-parallax as
Pa Vi (1)
where y» and y; are the y-coordinates of the projections of correspon-
ding rays from the right and left pictures respectively.
1. The influence upon the relative orientation
From fig. 2 we immediately obtain the y-parallax Pys in point 3 due
to the distortion as
d (2)
= ET d? dra — dr,
For simplicity we will use the notation p, for the y-parallax caused
by the distortion according to (2).
l'rom the symmetry of the points 3—6 we find immediately
d (3)
= P= Vb = de dro — dr, — p.
The influence of the y-parallaxes in the points 3—6 upon the ele-
ments of the relative orientation was derived in [3].
We find for independent pairs of pictures
h : (4)
dei — a 0 D
Ps
PED, = 0p
h (5)
dey = 2bd (Py Pos)
and for dependent pairs of pictures
h (6)
demo De Po pid pg
h (7)
dba m adn Py)
Only these elements of the relative orientation will beco:ne influen-
ced by the distortion under the assumed conditions.
From (4) — (7) and (3) we find for independent pairs
h (8)
du = Tip
" bdP«
h (9)
des = bd Pa