229
The model coordinates of the two projection centers: X^, Y^, Zq,
Xq, Yq, Zq, the angles <P 1 , (0 1 , K 1 , (p 2 ,C0 2 , K 2 and the elements of the
inner orientation of the image carriers: xj, yj, c^ are determined
by the following calibration procedure:
The image coordinates of eight marks on each image carrier plate are
known from precise comparator measurements. The operator records the
model coordinates of these marks at two different Z-levels by
separate left and right monocular measurements. The eighteen unknown
parameters are determined by a space-resection in the model space
using least-squares.
This calibration procedure is performed monthly by the operators.
Between calibrations, the parameters are assumed to remain invariant.
b) Relationship between object space and image space:
(3)
X j . - x j
u. - u j
H
►d
H
o
y-j - y j
J p
= D. (Oj iij Kj)
V. - v j
1 0
I
1
o
1
H*
1
«;
where: Dj = fi 1 (ilj)*R 2 (<J>j)*R 3 (Kj)
j = 1 ,2 and i = 1,2,...n
c) Relationship between object and pseudo-model space:
x‘ - x J
u. - u j
1 0
1 0
Y i " Y i
= Rj (<pj C0j Kj) • p. (<Dj ilj Kj)
v. - v j
1 0
Z i - z 0
_ w i " <_
d) Elimination of the scale factors:
f j
= (zÌ
- Z i )
*11
x i
h 31
f j
= (zj
- Z i )
h 2 i
h 31
where :
: j = 1
,2
(4)
fi = (z| - zi ) ft - u ° > } - (X,- Il ) - 0
h 3i (U, - u' ) + l4(Vj- vi ) + ...
(5)
and
i = 1,2,...n