Full text: Commissions III and IV (Part 5)

   
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Actual computation for analytical aerial trian- 
gulation of the ideal grid plates begins with these 
double reading values, being put into electronic 
computer as raw materials. 
A very remarkable and interesting fact in this 
result is the systematic tendency of variation of 
x-coordinates. Since we have not yet have time 
enough to analyze this fact, we will only show it 
here without treatment. 
5-3. Actual example. 
As an actual example, we will show here a 
result of pure-analytical aerial triangulation made 
for a strip which has been semi-analytically 
triangulated previously. 
Aviotar 210 mm. 
5500 m. above sea level. 
moutaineous, 1000 m. to 
2800 m. above sea level. 
4) Fleight-height base ratio. 2.8 to 4.0 
5) Strip length. 10 models. 
6) measuring machine. Autograph AT. 
1) Camera. 
2) Flight height. 
3) Terrain form. 
7) Point transfer device. KRP 60. 
8) No. of control 6 points distributed as in 
points the case of grid plate. 
9) Discrepancies at common points of adjacent 
models. Max. are in brackets. 
X Y Z 
cm.cm. cm. cm. cm. cm. 
Upper point +9 (19) +97 (157) +285 (501) 
Middle point +3 ( 7) 16 ( 33) +139 (396) 
Lower point +7 (20) +64 ( 94) +173 (396) 
10) Mean relative errors compared with semi- 
analytical results. 
X Y Z 
54cm. (166cm.) 104 cm. (315cm.) 200cm. (672cm.) 
Total no. of check points is 58, including 
double measurments at common points and 
excluding two points at which large mis- 
takes seem to have occured. Max. are in 
brackets. 
Corresponding to fleight-height 
base ratio, the errors of Z may 
become 3 or 4 times larger than 
that of x and ». 
2. Above amounts of errors ap- 
peared in two tables are almost 
comparable to that appears in 
practice of usual mechanical me- 
thod. 
11) Notes: 1. 
6. Correction for film shrinkage. 
Under the assumption that film shrinkage is 
represented by displacements of fiducial marks at 
the corners of the photograph, we can correct the 
photographic coordinates as follows 
x'=a,x+b,xy+C.Y+Xo 
y'-ayx-Fbyxy €,y t yo (15) 
where (x, y) are originally measured photographic 
coordinates and (x', y') are the corrected ones. 
To determine the coefficients and constants of the 
equation (15), we solve the simultaneous equations, 
putting in (x, y) the measured coordinates of four 
fiducial marks, and in (x’, y’) their correct ones. 
Conclusion. 
Some important conclusions of our experiences 
are 
1. Our method for analytical aerial triangula- 
tion may be applied in practical work with suffi- 
cient accuracy, with the aid of point transfer 
device and Autograph A7 used as a comparator. 
2. For strip-or model-coordinates, base length 
is a unit of length. This may have some advan- 
tages for expressions of model accuracy. 
3. It is able to obtain the orientation elements 
of Autograph A8 prior to plotting. This will be 
a greate advantages for plotting. 
4. A problem concerning model deformation, 
should be thoroughly investigated in futnre. 
5. There may be some cases in which semi- 
analytical method is more preferable in practice. 
Acknowledgment. 
The writer is indebted to the president of our 
Asia Air Survey company, Mr. Y. Yanagizawa, 
who permitted the writer to present this short 
paper to the congress, and whose kind advices and 
encouragements for these 3 years have only en- 
abled the writer to continue his research. 
This paper is a prompt one and may be insuf- 
ficient to show its content in detail. In early 
future it will be permitted to publish the more 
detailed results. 
The writer is very much thankful also to pro- 
fessor T. Maruyasu for his favourness to authorize 
this work. 
Many collaborators in our factory have endea- 
voured for the accomplishment of this work, and 
especially Mr. Y. Endo who, as a writer’s assistant, 
has made many contributions for the programing 
of electronic computer. Writer express his hearty 
gratitude to their collaborations. 
During these years an electronic computer NEAC 
2203 has been put at our disposal by JEIDA (Ja- 
pan Electronic-industry Development Association) 
whose favourite helps are gratefully acknow- 
ledged. 
Appendix. 
1. We have only mentioned above about the 
measurements of photographic coordinates by 
Autograph A7, used as a single comparator. But 
we may also use Autograph A7 as a stereo com- 
  
  
    
   
  
   
  
  
   
  
   
    
  
  
    
   
   
  
   
  
     
    
    
  
   
  
    
   
  
   
  
   
  
    
   
   
    
    
  
  
  
  
  
  
  
  
  
  
    
   
     
	        
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