
 
We calculate the median point and area of a 
character “a” in digital format. Then, we print it and 
scanned and calculated the median point and area 
again from the scanned image. Before calculating 
the median point and area, we converted the scanned 
image to binary image with various thresholds.  
Table 1: Invariability during D/A and A/D transform. 
thrs 
median point 
diff area diff 
192 
(149.12, 146.86) 
2.33 260 128 
128 
(150.28, 148.44) 
0.58 186  54 
64 
(150.02, 148.22) 
0.76 152  20 
32 
(150.49, 148.31) 
0.78 116  16 
16 
(150.41, 148.89) 
0.34 108  24 
8 
(150.46, 148.75) 
0.44 104  28 
orig (150.08, 148.98)  ---  132  --- 
The result is shown in Table 1. From Table 1, we 
can find that though the threshold varies (thrs), the 
median point does not vary very much. On the other 
hand, the area varies very much and the difference 
of the area of the original image. There are twelve 
characters whose area’s difference is less than 54. 
Therefore we cannot distinguish these twelve 
characters with area. 
5.4  Invariability during the Ordinal 
Change of Paper 
To estimate the invariability during the ordinal 
change of paper, we viewed the difference of the 
median points’ change between before and after 
folding of the paper. The experiment is done as 5.3. 
Table 2: Invariability during the ordinal change of paper. 
thrs median point diff area diff 
192 (146.03, 144.40) 6.11 296 164 
128 (150.59, 148.79) 0.53 164  32 
64 (150.51, 148.59) 0.57 59  73 
orig (150.08, 148.98)  ---  132  --- 
The result is shown in Table 2. In this 
experiment, our median point shows near to original 
median point. Therefore we can conclude that our 
proposed method has good invariability during the 
folding of the paper. 
6 CONCLUSIONS 
In this paper, we have introduced our feature 
extracting method of paper document. Our feature 
extracting method is based on the location of the 
mean point of each dot, and is expected to be 
applicable to home printers such as inkjets. 
We have estimated the probability of the 
collision and the uniformity of the distribution of our 
feature extracting method. We have found that the 
feature value extracted from one character is 
distributed uniformly and do not collide each other. 
We have also checked invariability during D/A 
and A/D transform and we have found that almost 
every character can be distinguished with our feature 
extracting method even after D/A and A/D transform. 
We have also found that our feature extracting 
method is better than the area. 
We have also checked the invariability during 
the ordinal change of paper and found that our 
method has enough and better invariability than the 
area. 
Therefore, we can conclude our proposed 
method can extract desirable feature value. 
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