13. Computation of corrections to the elements of absolute orientation.
From the recurrent relation (4) it follows
A O4 — A Mo + [d oli? (35)
or substituting dw by (25) and putting ^ w, — 0 (Appendix I):
A wi = LE, + 2 E» (36)
These and further quantities E are functions of D,—D,, given in Appendix IV:
Reduction of (5) gives:
A x; = A xo + [d x;]i* (37)
As it will not generally be possible to set the absolute swing in the machine,
due to its limited range, we put A x, — O to obtain semi-absolute swing:
Am = [d xj] (38)
or substituting dx by (26):
A 24 = Es + p Es (39)
Substitution of Ax by (38) reduces (6) to the following formula for the
y-component of the base bi:
Aby: — ^ byia — dbyi — [bd x] (40)
or introducing (26) and (27)
À by; — ^ byi a — Es d iEs 4- P Es (41)
Differentiating (22) logarithmically we obtain:
1 1 1 |t
b, db; = To db, + E d fj; 0
or putting bi = b and fj — 1 by approximation and db, — O according to
Appendix I:
db; = [bd pi] (42)
Application of (29) and (30) gives finally:
db; = Eg + LE + PE (43)
The z-components of the bases, which were kept zero during the triangulat-
ion, must be adjusted afterwards to equal the corresponding differences in flying
height:
bzi ee bzi 4 = — Hi + Hinz
Introducing this in (16) and writing an index j in place of i, we have
—bz; a+ 2bzi — bzi4 17— —b (oj — qj — ) —bd qj + bd Pi (44)
Summation over j = 0 > i—1 gives, taking account of dpo = 0 and bzo = 0
(61, Appendix I):
bz 1 —bzi=bz 1 —b[(pi— o/)— yl" —b [dpi + b [def]! (45)
Substituting dg; and dg; by (33) and (34) we obtain the following formula
for the z-component of the base bi:
bzi — bzi 4 = b [pi — qj) yr + E11 + 1E19 d E13 (46)
According to chapter 1 the triangulation as executed differs from the strip as
14