errors are random in nature, the method of least
Squares produces the answers of "maximum likelihood"
according to statistical theory.
2.5.1 Measurement Residuals
From earlier discussions it was seen that
a point's location in space may be determined
by- the. intersection of two non-parallel "rays".
But,: since more than two photographs are usually
taken, there may well be more than two rays
intersecting a point. In the least squares
solution, a single set of xD li coordinates
are determined for the point and these coordinates
are, in essence, those that best-fit. all incoming
rays. Hence, there is only one set of coordinates
for the point.
From the preceding paragraph it is seen that
all rays do not exactly intersect at the computed
Xp on of the point. For quality control
purposes it is customary to project a line back
to each photograph from the computed location of the
point so as to obtain computed locations of the
images of the point on all of the photographs on
which the point was "seen". These computed image
locations are differenced from the originally
measured locations (i.e. the x41, y
jo of Figure 1)
ij
'
to provide what are called "measurement residuals".
With proper work these residuals are typically less