226
- The bundles of rays are recovered in the conventional way by adjusting
the images into the fiducial-mark system and setting the calibrated
focal length c.
- An approximate base length b x is set (bY=b z =0).
- All angular scales are set exactly to zero: (0 1 = ^ = K 1 = (0 2 =(p 2 = K 2 = 0
In this mode the analog instrument simulates a stereo-comparator. The
following geometrical quantities are measured and recorded for each
control-point by the shaft encoders:
- Coordinates in the model coordinate system (X,Y,Z)
- A fourth value bY2 (WILD A7) or b^ (WILD A8)
The measuring and recording procedure is described as follows (Fig.2).
The operator tries to intersect the two homologous rays of each control-
point by varying bYo or b W 2 an< * 2. He finally reaches a situation in
which the two collinear points and P2 are separated only by a very
small distance d. The floating mark is now set as closely as possible
to the medium position P. Finally, the pseudo-model coordinate values
of the floating mark are measured and recorded on disc.
Measuring errors have been taken into consideration for the four encoder
readings X,Y,Z and b W 2 or bf 2 - Their a priori variance depends on the
increment of the encoder and also reflects the mechanical imperfections
of the lead screw system.
In our model the homologous rays r^ and iv, are not constrained to
intersect in the model space. The residual separation d is treated as
another measuring error and is minimized in the least-squares sense.
Seven residual components are added to the four measured quantities
(X,Y,Z and bYp or b (1) p) of each control-point in order to get the
X 2 = % + v x -
z 2 - z m + V Z “ V Z
d bY 2 = d bY 2 + ^bY 2
2 |v| + v| + v| reflects the remaining
adjusted pseudo-model coordinates:
II
o<~
X M +
<>
+
%
II
<>r
Y M +
v Y
+
v Y
n
Z M +
^Z
+
%
cL
b (D2
= cL +
d (02
V.
d C02
The residual separation: d =
error of the parallax measurement.