Each face will be imaged on four spatially separated photographs, and it is
in this sense that the configuration can be termed multistation. Photogram-
metric networks of this type, with the camera axes intersecting at good
angles and the imagery forming a closed spatial net, have inherent geometric
strength. This is true without any survey control whatsoever and, in
addition, such set-ups result in a good measure of homogeneity of precision
in the three co-ordinate directions as will be illustrated later (and has
been previously demonstrated by Kenefick (1971)).
This type of multistation configuration has been used on occasions for
several years. For example Kenefick (1977) has applied a photogrammetric
network not unlike that shown in Fig 1 for the co-ordinatior of a targetted
mid-section of a ship. However, the desireability of this type of set-up
does not seem to be fully appreciated in many areas of potential photogram-
metric application, especially the co-ordination of engineering and industrial
structures. There are three main reasons for adopting a multistation solution,
and all are connected with errors. The first two are concerned with
Systematic and gross errors (ie essentially with accuracy) whilst the third
is concerned with the propogation of random errors (ie precision) and will
be dealt with subsequently due to the need to clarify what precision is
related to in certain close range situations.
Systematic and Gross Errors
Accuracy can be considered as the closeness of the adopted solution to the
"true" solution. Accuracy will, of course, be affected by random errors in
the individual observations, but the main factor that differentiates
accuracy from precision is the presence of systematic and gross errors.
Although most analytical projects require some estimate of precision as well
the actual object co-ordinate values, this is a meaningless assessment of
accuracy if significant systematic and gross errors are present.
The compensation of systematic errors (ie the mismatch between "perfect"
observations and the mathematical model) has been investigated in recent
years, and the applicability of the self calibration technique (ie including
additional parameters in the vector of unknowns) has been extensively
documented (for example by Brown (1974, 1976), Ebner (1976), Heikkild and
Inkilà (1978) and Schut (1979)). Once again, however, concepts of self
calibration pertaining to aerial triangulation must be clearly distinguished
from close range applications of the technique. In the former, low distortion
metric cameras are used and the geometric configurations used do not allow
the evaluation of the three inner orientation parameters. Consequently, the
self calibration modelling is concerned mainly with film deformations and
certain residual distortions, and uses essentially empirical polynomial
forms (Ebner (1976), Grün (1978), Schut (1979)). The possibilities and
problems in close range studies are far more extensive. Even in instances
where a relative high precision is required, good non-metric cameras may
need to be used due to the non-availabilty of suitable metric equivalents.
In such cases the adequate modelling of systematic errors becomes of para-
mount importance. In contrast to recent trends in aerial triangulation,
the inclusion of physically interpretable terms may be more valid (though
only if likely sources of systematic effects can be readily identified and
mathematically modelled), but in this case the number of permutations of
(possibly) significant parameters can become daunting.. In addition there is
the potential for statistical (rather than physical) correlation of effects.
For example, we may ask whether glass plates or film is to be used; are lens
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