where G,
(Thus, E
worthy to
when only
advantage
K, and W correspond to the equation or equations to be deleted.
= - M _1 Q represents the modified solution of 4.29.) It is note
mention that the quantity - GN“ 1 G t ) reduces to a scalar
one equation is being deleted. This fact points out the real
of equation 4.30 when it is applied in a cyclic manner.
4.3 Sub-Block Assembly
At the end of the step of sub-block relative orientation, each
sub-block constitutes a unit which may be thought of as a large photograph.
All points within a sub-block are referred to a local coordinate system
with an origin at the exposure station of its central photograph. It is the
purpose of this step to assemble all the sub-blocks by bringing them
approximately to one general coordinate system. This general system may be
the final ground system (if there is enough control to allow the transfor
mation of at least one sub-block) or any other arbitrary system.
The kind of transformation suitable for this operation is the
linear three-dimensional formula given by:
... . 4.32
in which:
[X Y Z]*
the coordinates of a point, i, that is common to the
two systems, in the general coordinate system
s
a, b,
[x y
[c x c
z
f
change of scale for the sub-block under consideration
the elements of the transformation matrix representing
three rotations a, 6, y of the sub-block in question
the coordinates of point i in the sub-block system
the vector of three translations of the sub-block
considered in the transformation