28
The coordinates of the points 3 and 5 in the image pair 7,2 + 1 are
Tiris = 0 654140
(72)
Yii+1s = b Yiu 1,5 —_— — b
The coordinates of the points 4 and 6 in the image pair à — 1,4 are
Li 144 b X; N 1,i,6 — b
(73)
Yırıza = 0 Yi—146 = —b
Substituting (70)— (72) into the expressions (17) and (18) we find
de, ,.,— dz; ;5;= dx, — bd; , (74)
dy; 1i4 — AY; 15= dy,. + db; ; (75)
dz; ,;,5— dX;; 15 = dz, + bdo; (76)
dy; -1,5,0 dy; ; E15 — dye, T db, ; +1 (77)
The solution of (74)—(77) gives
I
dx. E (dx; 1,54 7 dac, ; 13 d; 116 7 dx; ; -1,5) (78)
I -
do; = > (dy; 1;4 — dy; ia + dy; 146 — Wiis) (79)
1
da = 5 l de; ; 15 — dx; 15— do; ; + dx; Ge) (80)
: 2b i+1, i+i, À, i,
1
db; ; HL 3 (dy; ; 5 dy; ; L8 dy; Lie dy; 1.1.6) (81)
-
For the determination of the accuracy (the standard errors) of the
expressions (78)—(81) the corresponding weight numbers have to be
computed.
For this purpose it has to be noted that the errors of the coordinates
in the expressions (78)—(81) are functions of errors of the oriented
image coordinates zy’ and x”y”, which are functions of the errors of
the image coordinate measurements w’v’ and u”v”. These measurements
are to be regarded as the basic observations which are independent and
the errors of which are assumed to have a normal distribution. The