Full text: XVIIIth Congress (Part B3)

   
   
     
    
     
    
   
   
    
     
   
     
   
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Altitude 568km 
No of CCDs per line 4 096 
CCD size Zum 
Pixel size 18.3m x 24.2m 
Principal distance 213.5mm 
Along track angle Imagel O° 
Image 2? 15. 
B:H 0.3 
  
  
  
Table 5 - Characteristics of OPS sensor and data. 
Results of tests with OPS data 
The initial computation of the data set resulted in 
problems of convergence, mainly affecting the 
computation of the platform’s altitude for the physical 
model. An exhaustive study resulted in the use of only 
eight of the orientation parameters. It was necessary to 
do this because of the small B/H which results in high 
correlations between the orientation parameters. Also, 
the given value for the eccentricity of the orbit was not 
well defined by the literature. The only information 
offered was that it should be smaller than 0.0015 in all 
cases. 
The errors presented were found in a very small number 
of check points. Of the 40 ground control points, those 
which were not used as control, were adopted for 
checking the model’s accuracy. The accuracies found for 
some of the tests are presented in tables 6 and 7, using 
the physical and the polynomial orientation models, 
respectively. 
  
No |No |No rms (m) [in UTM projection] 
iter |contr] conj.] E N H 2D] 3D 
6 0 62 84 96 | 106 | 131 
58 86 79 |1..104-]- 130 
56 91 78 |-107 | 132 
62 89 89 | 108 | 140 
27 67 92 02 | 114 [| 150 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
SD DA DE 
HR ja Un JON 
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— 
  
Table 6 - OPS model accuracy after orientation with 
several control configurations, using the physical 
orientation algorithm. 
  
No |No |No rms (m) [in UTM projection] 
iter [contri coni.] E N H 2D | 3D 
6 0 71 86 97 | 113] 143 
4 74 89 95 | 114 | 148 
74 92 93} 118 } 150 
8 72 9] 96 | 116 | 151 
12 1785 103 | 101 | 134 | 167 
  
  
  
  
  
  
  
  
  
  
  
  
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Table 7 - OPS model accuracy after orientation with 
several control configurations, using the polynomial 
orientation algorithm. 
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B3. Vienna 1996 
Similarly to the tests with SPOT data, the tests carried 
out with the OPS along track imagery resulted in time 
expensive solutions when conjugate points were adopted. 
The physical approach for the orientation gave the best 
results, both for relative and absolute orientations of the 
model. However, the algorithms took more iterations to 
converge for a minimum number of control points. 
The results concur with other reports presented on the 
study of the accuracy of OPS data in height [Maruyama, 
1993]. The large errors found are most likely due to the 
large errors in the control data and the problems found in 
the identification of control. The small angle of 
convergence can give rise to instability in the orientation 
of stereo pairs. The B/H=0.3 is the major constraint for 
the orientation of the data with this algorithm because it 
is extremely influential on the ellipses of error, hence on 
the correlations between some of the orientation 
parameters. 
Besides the savings in time spent in the orientation 
process, it gives the same kind of accuracy with less 
control points. 
5. CONCLUSIONS 
The use of conjugate points were tested with SPOT and 
OPS imagery for the two different models. The 
algorithm becomes very time expensive with the use of 
conjugate points. 
First, it introduces a few more equations to the 
calculation, resulting in the inversion of larger matrices. 
However, this would not be important if an improvement 
in the final accuracy of the models was registered. 
Second, the set of observation equations is not as stable 
as when only ground control is used. A deeper study 
showed that this is due to the different scales of the 
residuals in the observation equations derived from 
ground control and conjugate points. 
No significant improvement in the orientation of the 
model stems from adding conjugate points to the control. 
It was also found that the convergence of the algorithm 
depends on the number of observation equations formed. 
The absolute orientation of the models gets worse when 
the number of ground control is decreased independently 
from the number of conjugate points being used. 
However, conjugate points may be used to ensure a 
model orientation when the ground control is not enough 
on its own. 
If a good initial approximation is obtained for the 
orientation parameters, conjugate points can be used with 
success to improve the relative orientation of the three- 
dimensional models. However, the results obtained with 
this study were not significant. 
  
   
   
   
    
    
    
     
    
   
  
  
   
    
      
      
      
       
       
   
   
   
   
       
      
     
     
    
     
    
   
   
   
   
	        
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