A X(i), A Y(i), A Az(i), X/3(i) being respectively the corrections of X, Y, azi
muth and scale in the model of i order of the strip and n the number of models
less one.
The number of order of the first model of the strip is considered to be O.
The calculation of each point is then made in two operations: first is the atjustment
(transformation of the autograph coordinates of the points of each model by means
of a conformal transformation of parameters A X (t), A Y(f), A f3(i) and A Az(i)]
and after the transformation into ground coordinates, inverse of that effectuated
with the initial Helmert.
2.2.2 —STRIPS WITH ONE OR TWO INTERMEDIARY CONTROL POINTS
When the strips have an intermediary control, the adjustment of X and Y is made
by means of a 2 nd degree expression; when they have two intermediary controls,
by means of a 3 d degree expression.
The expressions to be utilised are respectively:
f Cx = a 2 X p +a y X p + (d 2 X p 2 + d y Xp) Y p
[Cy = b 2 X p +6, X p +(c 2 X/ + c X p ) Y p
and:
Cx = u R X p 3 + <x 2 X 2 + u y X^ + (¿¿ ;{ XP 3 + d, X p “ + d y XY^
Cy = b 3 X 3 + b 2 X* + a 1 X h + (c, A, 3 + c 2 X* + c t X p ) Y
where for each point:
X p = X-Xo
Y„ = Y-Yo
p
Xo being the coordinate X of the first central pass point and Yo the coordinate Y
of the axis of the strip which is considered as the polygon defined by the central
pass points.
The determination of the parameters of the adjustment expressions is made as
follows:
1 — The coordinates of the control points are transformed by means of a Helmert
transformation based on the points of the first model of the strip.
Let X’, Y’ be the transformed coordinates.
The correction in each control point will be:
Cx = X’-X
Cy=Y’ -Y