Table 1: Accuracy with which embedded data were read
out. N indicates number of pixels.
4 RESULTS AND DISCUSSION
Table 1 lists the experiment results for the accuracy
with which the embedded data were read out. The
accuracy is indicated by the percentage of data that
were read out correctly from the entire amount of
data. We established four main findings from Table
1: 1) Accuracy was very high for small numbers of
N under 16 not only for the forehead area but also
for the cheek area where the surface was largely
curved, 2) it was highest at N=16, 3) it was poor for
a large number of N over 32 for both areas, and 4)
accuracy was poor for an HC of 20.
The reason that accuracy was excellent for small
numbers of N and poor for large numbers was
because the results from calculations were largely
affected by the object surface being deformed when
the area used for the calculations was elongated. As
N decreased, on the other hand, the summation of
the frequency components in Eqs. 1 and 2 decreased,
and this caused a decrease in accuracy. This was
considered to be the reason for accuracy to peak at
N=16. However, the results revealed that accuracy
for very small N under 12 was still very high. This
reason for this was because we chose a human face
as the 3-D shaped object, which had uniform
characteristics with regard to its image signal. As it
did not have a high-frequency component, the values
were almost all obtained from the projected pattern.
Result 4) was what we had expected because of
the small frequency component.
As we can see from Table 1, a high degree of
accuracy of 100% in reading out the embedded data
is possible by optimizing the conditions for reading
data. Therefore, we could confirm the feasibility of
the proposed technique. Moreover, since we can use
an error correction technique in practice, over 90%
accuracy is sufficient for practical use.
5 CONCLUSIONS
We proposed one dimensional optical watermarking
to protect the portrait rights of 3-D shaped real
objects and we conducted an experiment using a
manikin’s face as a real 3-D object assuming this
technology would be applied to human faces in the
future. We used a method of phase difference where
two out of R, G, and B-color components were used
and binary information was expressed if the phase of
the high frequency pattern was the same or its
opposite. The experimental results demonstrated this
technique was robust to deformation of the pattern
due to the curved surface of the 3-D shaped object
and a high degree of accuracy of 100% in reading
out the embedded data was possible by optimizing
the conditions for reading data. As a result, we could
confirm the feasibility of the proposed technique.
ACKNOWLEDGEMENTS
This work was supported by JSPS KAKENHII (No.
23650055).
REFERENCES
I. J. Cox, J. Kilian, F. T. Leighton, and T. Shamoon, 1997.
Secure spread spectrum watermarking for multimedia,
IEEE Trans. Image Process., 6(12):1673–1687.
M. D. Swanson, M. D. Swanson, M. Kobayashi, and A. H.
Tewfik, 1998. Multimedia data-embedding and
watermarking technologies, Proc. IEEE, 86(6):1064–
1087.
M. Hartung and M. Kutter, 1999. Multimedia
watermarking techniques, Proc. IEEE, 87(7):1079–
1107.
K. Uehira and M. Suzuki, 2008. Digital Watermarking
Technique Using Brightness-Modulated Light, Proc.
IEEE 2008 International Conference on Multimedia
and Expo, page 257–260
Y. Ishikawa, K. Uehira, and K. Yanaka, 2010. Practical
evaluation of illumination watermarking technique
using orthogonal transforms", IEEE/OSA J. Display
Technology, 6(9): 351–358.
Y. Ishikawa, K. Uehira, and K. Yanaka, 2011. Optical
watermarking technique robust to geometrical
distortion in image, Proc. IEEE Int. Symp.on Signal
Processing and Information Technology.
N
HC
8 12 16 32 60
20 90.0 97.5 95.0 82.5 85.0
30 95.0 95.0 95.0 85.0 87.5
40 100.0 100.0 100.0 97.5 90.0
50 97.5 97.5 100.0 87.5 60.0
(b) Cheek
N
HC
8 12 16 32 60
20 95.0 95.0 100.0 97.5 92.5
30 100.0 100.0 100.0 90.0 55.0
40 97.5 100.0 100.0 82.5 42.5
(a) Forehead.
(%).
(%).
VISAPP 2012 - International Conference on Computer Vision Theory and Applications
78