Full text: Commissions I and II (Part 4)

  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
A MARGE 
  
  
In last gears an intensive growth. of simple, cheap stereoplotting instru | 
ments of the 3T? order can be perceived in photogrammetry.: By the construable 
solution they are devided in planimetric and space. ones.: The deformations and 
corresponding correctional installations for planimetric instruments are: found 
out to a large. extent already, the circumstances of space ones in the contrary 
very unexaminated. 
The intention of this article is to reach for the nature of stereo-model 
. deformations,: to adapt it to the conditions of existent stereo-plotting. instru- 
ments of the zrd order with the space: solution and. to indicate the possibilities 
of partial compensation of deformations by simple. grips. 
.We suppose: that the inner photograph-orientations of a stereopair arent 
resumed. and. that the bundles. of both rays are in an incorrect reciprocal.posi- 
tion. Because: of an unresumed inner. orientation the: photogrammetrical bundles of 
rays aren't congruent. to those. ones we. have at photographing..The incorrect: re- 
ciprocal position of both bundles of rays causes: that the homological.rays of 
both sheaves in space are: fleeting. We: lead them: to the points: of intersection 
by the progressive displacement of one photograph or bundle in the transverse 
line on the basis (Y). It's clear, that the points of intersection getting in 
this way, retire from the correct positions of belonging model-points. 
In these retirements resp. displacements the following components are 
contained: 
a) the parallel displacement of complete model; 
b) the stift turning of model (round three: rotatory axis (x,y,z); 
c) the change of model-measure and 
d) model-deformations 
The object of following discussions. will be model deformations above 
all, because the other components. (a,b and c) can be taken with their absolut 
orientation. 
We suppose an. ideal. instrument and. photograph. by ascribing the resulting 
displacements. of model points to: 
1. the unresumed inner orientation and 
2. the unresumed external orientation of bundies of rays. 
We mark the errors of inner orientation with dx, dy and df, the errors 
of external one with dby,, db,, db, 
(translations), p,x and w (rotations) 
(Fig.l). The index 1 would refer to 
the left, the index 2 to the right 
photograph. of stereo-pair. The signs 
of displacements and rotations are 
evident from the picture no.1. The 
elements  db,, db,, and.db, are:di 
fferences: of photd-basis..components 
in axis. directions: of space 'co-ordi 
nate system (x,y,z); the displace- 
ments dx,.dÿ and df refer to the 
photographic coordinate .:system (x,j]) 
  
Model deformations 
— — 
The point of intersection of the rays ¥, and V, determines the correct 
space position of the point T(x,y,z) (Fig.2). Because of an incorrect inner 
orientation the vectors V, and ‘7, move out for the amounts 
      
   
   
  
    
  
  
   
  
  
  
  
  
  
  
  
  
  
   
  
  
  
  
  
  
  
  
  
   
   
   
  
  
  
  
  
  
  
  
   
  
  
   
   
  
   
  
     
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