Synopsis
The paper presents principles for the establishment of tolerances for photo-
grammetric instruments and methods and practical applications. The tolerances
are founded upon calibration measurements, adjustments according to the method
of least squares, the laws of error propagation, and the confidence limit theory
from statistics.
Introduction
From the Resolutions of Commission II of the International Society for
Photogrammetry at the Congress in London 1960 is quoted:
5. “It is desired that principles for the establishment of tolerances and
specifications for instruments and methods in photogrammetry should be
worked out” . . .
The basic instruments in photogrammetry treated in this paper are the com
parators for the measurements of image coordinates and the stereoscopic
projection instruments.
The principles upon which tolerances and specifications are established for
these instruments may also be applied, sometimes with minor modification,
to other instruments in photogrammetry such as cameras and similar devices
for recording the basic central projections of objects to be measured, rectify
ing instruments, coordinatographs, micrometers, etc. The general principles to
be applied are indicated in the I.S.P.-Resolution No. 6 of Commission II,
London 1960:
“In order to compare the results of different theoretical and practical investiga
tions into instruments and methods, it is suggested that the observations
be adjusted by least squares.”
This basic principle is used for the derivations explained below. The tolerances
are to be founded upon the concept standard error of unit weight and specific
elementary statistical principles. In order to be concise in this paper, references
to existing literature will appear frequently.
The procedures derived are intended primarily for working photogramme-
trists to judge the geometrical quality of their instruments.