THE MODEL FOR DIGITAL GEOMETRIC RECTIFICATION
The mathematical model represented in chapter two can
successfully be used for digital rectification. To recon-
struct the unknown exterior orientation parameters a least
squares adjustment is formulated with two groups of obser-
vation equations according to equations (5) and (6). Each
control point leads to two observation equations of the
following type:
0 3 o 9 9 9
N XS o Yo ea i *
| 9X3 9X; 9 Xi 9X;
| = Au, + s. A rgo CN. t cuc AX k +
| eri an. rig axi ALCUN (7a)
| ay k o; al: o»
| 0, o,k
| a o o 9 0
| i * yao SB E oF, od, 0
|
| Yi ay, yi yi
— ^ Auk + 5 Ad + o AK, + oi. AX k +
30; de. "Kr roc aX os
k Pk k o,k
alat e MAT (7b
4x. kt 7g Moxc yi )
T , 32 ,
o,k o,k
Equations (7) are derived from equations (5) by Taylor
extensions. Vxá and Vy; are the residuals of the image
coordinates x and y which are assumed as the observations
of the adjustment.
Interpreting the n, as fictitious observations of amount