Sq is obtained in microns for the radius r' in mm in the photographs. The
root mean square value of the standard error of unit weight is about 7 microns.
After sufficient similar tests under operational conditions, tolerances for the
standard errors of unit weight of image coordinates can be established ac
cording to the principles discussed above.
The Relative Orientation.
The standard error of unit weight of the y-parallaxes after an adjustment
according to the method of least squares can be used as an indication of how
well the relative orientation can be made. Because the accuracy of the relative
orientation is of fundamental importance for the accuracy of the entire photo-
grammetric procedure including the determination of the elements of the
exterior orientation, tolerances for the relative orientation should be esta
blished. Comprehensive tests have been made in order to determine the basic
value of the standard error of unit weight for a specified combination of
camera and instrument, see for instance Hallert-Ottoson-Ternryd 1960 and
Hallert-Ottoson-Ohlin 1964.
The following values have been found on the image scale. For normal angle
photographs, c = 210 mm and first order stereoscopic projection instruments:
s 0 = 4 microns. For wide angle photographs, c — 153 mm and first order
stereoscopic projection instruments: s 0 = 6 microns. For superwide angle
photographs, c = 88 mm and autographs Wild A9: s 0 = 10 microns.
If the >’-parallax measurements are assumed to be made in 9 model points
there are 4 redundant observations and the tolerances of the standard errors
of unit weight become on the 5 percent level 1.54s 0 . For wide angle photo
graphs and first order stereoscopic projection instruments this means that the
standard error of unit weight should not exceed 9.2 microns.
In analytical photogrammetry (wide angle photographs c = 153 mm and
stereocomparator Wild StK 824) s 0 has been found to be about 4.5 microns
and the tolerances after adjustment of measurements in 9 points 7 microns.
If the measurements are made in 15 points the tolerances become 1.4s 0 , i. e.
6.3 microns.
If the relative orientation is not adjusted according to the method of least
squares, the root mean square value of the residual y-parallaxes in the model
can approximately be used as an indication of the accuracy of the orientation.
For wide angle photographs c = 153 mm and first order stereoscopic projec
tion instruments, comprehensive tests have indicated this root mean square
value to be 12 microns, see Hallert-Ottoson-Ternryd 1960 and Hallert-Ottoson-
Ohlin 1964. Assuming the residual y-parallaxes to be approximately normally
distributed (see Hallert-Ottoson-Ternryd 1960), the tolerances of the root mean
square values of the residual y-parallaxes become 18.4 and 17 microns after
measurements in 9 and 15 model points respectively.