ing instru. |
struable
ions and
are: found
contrary
ereo-model
ng.instru-
+ à . . |
ssibilities | -
air arent
cal.posi- |
bundles of |
Orrect: re-
rays of
ersection
ansverse
tting in
nts are
zj;
above
absolut
resulting
he errors
hx
»- /
he correct
t inner
Compensational Possibilities of Deformations
For the mapping only distinct model deformations are of essential. impor-
tance, because: the: other displacements are taken: with the absolut orientation.
The distinct deformations: .can be perceived by the variation of component: displa-
cements in direction of three co-ordinate axis (X,Y,Z).
The equations of displacements arf, dy, az, ax^, dY^ and .dzÁ we
derivate in three. co-ordinate directions; the differential equations we: get, we
integrate. then. in the extensible model limits (9-x, O-y, Z-Zo). By including
the terms of the first.order and by a convenient deformation we get the system
of deformational equations, :that. is evident from. the tabla III. The .following
simplifications are taken: b, = 0, 0,02 = AQ, Wı-W2 = Ab, X4-Xg = AX,
dx,-dX, * Ax, fi-f2 = dfi-dfe: = A. and. Z-20:> HÀ.
We are going to show the.partial compensational possibilities of defor-
mations on stereo-plotting. instruments that (at the changed .image distance)
concede the relative orientation of both bundles of rays (Stereoflex), .the possi-
bilities while using the rectified photographs on stereo-plotting instruments(for
the mapping) of the normal case of stereo-photogrammetry (stereo-sketchmaster)
and at the end the unrectified photographs on stereo-sketchmaster with inclinable
photo-plains. The American Multiscope is an example of such instruments.
1. Relative Orientation on the Instrument
(Stereoflex)
At instruments where the photographs can be inclined: round the correspon-
ding perspective centres in the longitudinal direction ¢ and the transverse
direction w, we can take:
dx, = dx, = dy, = dys = 0, = Pp ® X3- F Xp = Wi = Wo * Ü. We. introduce this condi-
tion in deformational equations (table III):
X(X- óx )
d Xx) Abr „AL. X. ; : + 7. Hab
X 1A 75x] abo. An Nak M4 a.)
e es Ay aye Tar yf AERE t,
Zh
c+ XL raz, Af : s Lbs AE y, XU
dat (21101), 42,60, dE jt M A
The error of the basis Ab, causes only the variation of scale that we.
take into consideration at the absolut orientation (Ab, = ©). With a convenient
choise of difference in image-distances: Af = -i Ab, it's nearly possible to
compensate the influence of the element Ab, on ground-plan deformations and
heights. The following deformations are left: y
X(X-bx)H 4
4 Z
zo, dx 25
qX-0, dk, +0 a^, Zi
, YOC ex). 46,
dYX:0, d:0, ay 7%, €
dZy 70 ; AZ Aus M uf
aZ, U. 5 f Foy
