42
6. The residual y-parallax
due to the errors in the inner orientation, is given by (9b), and
introducing (4) into (7d), óp due to observational errors in y-
parallaxes is derived. We find that óp,, — 0 when dc 2 de and
dy'; —-dy'y, and that errors in x’ have no influence.
The law of propagation of errors can be applied.
Table 3.
The mean standard residual map, (in
brackets the max. of map,). In y.
Case
Source of Fi 5
error 1 Um
1000 of os ii (02) | 1,8 (3,3)
PAT .. s.s. 5,9: (6,7)] 6,2. (6,7)
m 1 :
: móp— g Utapr ]; i = 1,2,., 9.
2 In Cases 1—4, less than 1w.
Table 3, based on the assumptions of (11), shows that only in
Case 5, do the height differences have a significant influence on
the residual y-parallax.
APPENDIX
The derivation of the residual errors in the coordinates after the absolute
orientation.
A new coordinate system X, Y, AZ, referring to the centre of
gravity of the » control points, is chosen; thus:
Kan y- H1, AZzAc- [A
n n n
The residual errors are:
ôz =dz +dz, — XdD + YdQ + AZdB
ôx = dx + dx, + XdB — YdA + AZd®
ôy =dy +dy, + XdA + Ydß — AZdQ
dz, dx, dy, are the original errors. dz,, dx,, dy,, d®, dQ, dA
and dp are three translations, three rotations and a scale change,
respectively. For finding these 7 corrections the well-known
method of least squares can be applied.