553
and f is the focal length of the camera, or the principal distance of the
photographs used in the model.
Let C be the rotation matrix that rotates from local to camera coordinates
for each camera station:
[6] - (&) (AD (à (13)
where (Ry) is the photogrammetric rotation matrix formed by the sequential
rotation matrices. These matrices are the primary uw matrix about the X
axis, the secondary $ matrix about the Y axis, and the tertiary « matrix
about the Z axis:
(Ry) 7 [x] [6] [o] (14)
Then, the rotational parameters for each photograph in the model can be
obtained by:
zi
w, = sin (C,3)
T “ean be yey
d rca 13/633
TE ceils. (15)
Re a 12^"22
The stereomodel setup is accomplished by entering the computed model
parameters as defined in equations (11) and (15) into the computer of the
analytical stereoplotters. The immediate result is a stereo model that is
equivalent to a stereo model obtained through the ordinary processing of
relative orientation. Contour lines are then compiled.
Because the model orientation parameters are computed using the adjusted
SEDR data in the control net adjustment, stereo models derived with these
parameters are close to those derived from the absolute orientation
parameters. The computation of absolute orientation does not change the
model orientation parameters significantly except where map projections
differ.
Software for this technique has been developed on the analytical
stereoplotters. Adjusted camera positions and attitudes of the 714 Viking
pictures have been stored into a moving head disc so that all the
computations can be done in real-time processing. As soon as the plotter
operator enters the identification of the pair of photographs of the model
and performs the interior orientation, a stereo model is established
immediately. In the situation where the operator decides to perform an
absolute orientation of the model, all he has to do is to enter
identification of control points desired to be used. The computer searches
those control points from the master file in the disc and performs the
absolute orientation immediately. About 3,000 control points of Mars
established from the Mars planet-wide control network (Wu and Schafer,
1984) have also been stored on the disc in both geodetic and Cartesian
coordinate systems. Using this technique, Mars maps at various scales have
been and are being compiled. The smallest contour interval yet attempted
with Viking Orbiter pictures is 20 meters.