204
of overlap between adjacent models) the two intersections in individual
models must take place at the same spatial location. This condition is
always used in conjunction with the coplancirity equations.
Theoretical concepts of bi-projective transformation (Das 1952)
and the^use of distances in the object space as control for stereo-models
(Das 1J73, Okamoto 1981) are purely computational approaches that would
prove extremely efficient in various applications of stereophotogrammetry.
6.2.3.4 Related to Multiple Images
The application of analytical procedures on which most discussions
and efforts have been made is that of phototriangulation. As early as the
beginning of the World War II, the need was typified in the following
quote (Schermerhorn and Neumaier 1939): "The problem of control points
was and is still, to a certain extent, the bottleneck in photogrammetric
map production". Initial efforts were with regard to the adjustment of
analog aerotriangulation. Later efforts concentrated on fully analytical
procedures. Their classifications and consequent historical developments
would be apparent in Fig. 6.2
Fig. 6.2
A. Adjustment of Analog Aerotriangulation
Historically, the development may be noted in terms of three
stages:
Stage 1 : Adjustment of individual strips along with associated data
analyses and interpretations. The works of Thompson (1953),
Roelofs (1949) and Gotthardt (1944) give typical indications of the
initial studies. One would notice at this stage the prolonged
discourses on the causes and propagation of random errors over
those of systematic errors. One can refer to one single publi
cation to typify the culmination of this stage in the OEEPE (Orga
nisation Européenne d'Études Photogrammétriques Expérimentales)
report for studies up to the end of 1959 (Solaini and Trombetti
1961). This study, initiated in 1956, concerned international
efforts at twelve research centers and analyzed the results of
some dozens of strip triangulations by using different adjustment
procedures.
Several scientists got involved in such studies in the OEEPE
group or separately and left their marks in numerous publications
of each of them, such as, W.K. Bachman, A.J. Brandenberger, A.
Bjerhammer, A. J. van der Weele, A. Verdin, P. A. Yermeir, J.
Zarzycki and M. Zeller. The efforts of the ISP Commission III in
this regard were very significant (see Cassinis and Cunietti 1964).
The OEEPE (1973) publication indicates the termination of experi
mental researches of this stage, having the attention already
passed from the treatment of isolated strips to that for an entire
block. The highlights of this stage were: (1) Adjustment of
aerial strip triangulation was approached by using condition equa
tions; (2) The least squares principles were being applied to the