- d.
%, MATHEMATICAL MODEL OF CAMERA CALIBRATION
Taking all informations into consideration to be processed in
the calibration adjustment procedure we will have to deal with
the following mathematical model:
1. Collinearity equations for image coordinates X14» Yı3z: see
9
/1/, equation (1) - (11) with the set of calibration data:
€, Xy!» Vy for interior orientation and the parameters C1 of
calibration functions (f. i. after BROWN/CONRADY).
2. The camera station belongs to the testfield. see /1/, equa-
3
tions (14) - (18) with
- testfield coordinate vector
XsT
X - projection centre of image J
=pZ, J
Rj - Orientation matrix of image j
e! - vector of excentricity between vertical axis of
theodolite x @nd projection centre.
S
3, Readings of the orientation angles. see /1/, equation
9
(19) - (20) with
War 37 readings of orientation angles at the phototheo-
: dolite for image j
2 - orientation angles of image J as defined in
equation (10)
& - vector of excentricity between the two different
systems of angles.
4, Tie conditions for the projection centres of consecutive
images. see /1/, equation (21).
3
After thoroughly estimating the standard errors a priori for
the observed quantities, see /1/, tab. 1, we finally achieve the
following system of error equations, see /1/, tab. 2, where A
is the design matrix, v the vector of random errors, and 1 the
vector of constant terms. On eloser inspection you will miss
the equations of type 3. Due to instrumental difficulties we