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The hardware is represented in Fig.1. All of the stereo-plotters were
equipped with shaft encoders, which are connected to the PRIME 400
computer by a microprocessor-controlled interface. The connection is an
ordinary terminal line (current loop/RS 232). The counter in the inter
face can be controlled and recalled by a set of simple commands (alpha-
numerical strings).
All of the programs run on the central computer and can be recalled
interactively on the terminal assigned to each stereo-plotter.
3.2 Mathematical model
3-2.1 Concept
The mathematics of the simultaneous analytical determination of all
orientation elements has been discussed by various authors (Schmid
1979), (Schwidefsky and Ackermann 1976). We decided to use the
analytical treatment of the bundle method formulated in the geodetic
object coordinate system, as this seemed the most elegant approach to
this problem. The method is based on the principle of central
perspective, which is expressed by one single condition, the condition
of collinearity.
In the literature of analytical photogrammetry the following case is
usually described (Schwidefsky and Ackermann 1976):
Image coordinates of a number of control points are measured by a stereo
or mono comparator. Using the geodetic coordinates of selected control-
points, the 12 orientation elements and the coordinates of all control-
points are computed in one simultaneous least-squares adjustment. The
left and right image coordinates of one and the same control-point are
usually treated as independent observations or more precisely as
uncorrelated random variables with normal distribution.
Since we are actually measuring geometrical quantities with the analog
stereo-restitution instrument rather than image coordinates, a slight
modification of the usual mathematical model of the bundle approach was
sought which suits the characteristics of the analog instrument better.
In our case, the four geometrical quantities which are actually
recorded, 3 model coordinates and a fourth value which is a measure for
the y-parallax, are treated as observations. We call this set of
observed quantities 'pseudo-model coordinates' because these values do
not correspond to real model points. Residuals at these variables,
rather than at the image coordinates, are estimated in the least-squares
adjustment. This way the left and right image coordinates of homologous
rays are treated as statistically correlated variables.
3*2.2 Observations
The geodetic coordinates (U.V.W)^ ; i=1,2,...n^ of the absolute control-
points are introduced as observations with known variance.
The analog instruments are used in the following special mode
('stereo-comparator mode'):