Full text: Commissions I and II (Part 4)

     
  
  
   
   
    
   
   
   
   
    
     
   
   
  
   
  
  
   
  
   
   
   
  
  
  
  
  
  
   
    
   
   
  
  
     
      
    
       
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 
  
  
  
  
  
  
  
  
 
	        
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