' Istanbul 2004 
  
  
| server in 
rmment 
plane coordinate 
cently. There are 
ire) for the group 
suitable for GPS 
from August to 
ned over 2 hours 
; JGD2000 was 
int number, the 
ning data. GPS 
ng point are as 
üldings. 
'eodetic systems 
  
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B2. Istanbul 2004 
  
4. VERIFICATION OF THE CONVERSION 
4.1 TKY2JGD 
First, the accurate 14 coordinates of Tokyo Datum were 
transformed to new system from old system by using TK Y2JGD. 
How long differences are there from the calculation results to 
GPS positioning data were verified. The result is shown in Table 
1. The differences exceeded about 11.3cm on an average. 
Accuracy of level direction about facilities management is about 
5cm, and the error is not allowed in large scale digital map. The 
results showed that it is necessary to verify the method of 
coordinate transformation in narrow area, because area of 
TKY2JGD was too large. 
A, B, and C in Table | shows as follows 
© A: Town planning work(Tokyo Datum): The coordinates 
of Tokyo Datum which was offered from the group of 
town planning work 
B: Town planning work (JGD2000): The coordinates of 
Tokyo Datum which was offered from the group of town 
planning work. It was transformed by TKY2JGD 
C: GPS positioning (WGS-84): The coordinates which 
was converted from GPS positioning data to rectangular 
plane coordinate system. 
4.2 Affine Transformation 
In the verification, Affine Transformation which the most 
general and simple method in various geometric conversions 
was used. 
Affine Transformation makes the three parameters. There are 
rotation, scale and parallel transformation. These parameters 
transform the geodetic system (x, y) to (x', y). The conversion 
formula is as follows. 
Table I. The control point of coordinates of Tokyo Datum and GPS positioning data 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
4] 
  
  
A B C Unit m 
No Town planning work Town planning work GPS Differences Vector 
(Tokyo Datum) (JGD2000) (WGS-84) 
x 61066.777 61413.870 61413.908 0.038 ba 
y -49492.594 -49761.114 -49761.010 0.104 
> X 61127327 61474.420 61474.453 0.033 0.103 
y -49555.144 -49823.664 -49823.565 0.099 
3 X 61227.909 61575.004 61575.008 0.004 0128 
y -49666.002 -49934.52] -49934.373 0.148 
a X Sr IS 61517279 61517.261 -0.018 dan 
y -49753.116 -50021.634 -50021.494 0.140 
3 X 61280.154 61627.250 61627.229 -0.021 a 
y -49780.701 -50049.219 -50049.113 0.106 
6 X 61112.771 61459.867 61459.873 0.006 015] 
y -49642.624 -49911.143 -49911.022 0.121 
d X 61335.275 61702.371 61702.338 -0.033 0:120 
y -49792.665 -50061.182 -50061.065 0.117 
: X 61407.695 61754.790 61754.765 -0.025 5 
y -49791.317 -50059.834 -50059.735 0.099 
9 X 61289.281 61636.376 61636.367 -0.009 5 125 
y -49695.348 -49963.866 -49963.741 0.125 
0 X 61186.758 61533.852 61533.872 0.021 0.115 
y -49591.219 -49859.7384 -49859.625 0.113 
n X 61270.218 61617.3099 61617.316 0.006 0107 
y -49581.156 -49849.6748 -49849.568 0.107 
= X 61317.370 61664.4620 61664.457 -0.005 Tem 
y -49622.528 -49891.0463 -49891.004 0.042 
» X 61228.627 61575.7204 61575.730 0.010 0.119 
y -49609.195 -49877.7139 -49877.595 0.119 
il X 61315.912 61663.0076 61662.986 -0.022 20 
y -49756.810 -50025.3275 -50025.209 0.118 
Average o 
Woes | 0.113