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Elektronika 2009-11.pdf - Instytut Systemów Elektronicznych

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a)<br />

Fig. 4. Source image<br />

Rys. 4. Obraz źródłowy<br />

can cause visible distortions. Images with the added noise are<br />

shown in Fig. 5.<br />

After adding Gaussian noise received information that:<br />

• number of blocks of recognizable changes of contrast:<br />

5562,<br />

• number of blocks of invisible changes of contrast: 6726.<br />

By adding Poisson noise to the source image obtained information<br />

that:<br />

• number of blocks of recognizable change of contrast: 5733,<br />

• number of blocks of invisible changes of contrast: 6555.<br />

In both cases the number of blocks, in which visible<br />

changes can be seen significantly increased, what reflecting<br />

the reality of distortions introduced by the noise.<br />

It is also worth noting that usage as the sensitivity parameter<br />

of visibility criterion to changes in contrast allows controlling<br />

the strength of inserting messages. This can be done<br />

by local increase or reduction of data amount hidden in selected<br />

piece of the image in a way that the distortion level was<br />

below human eye sensitivity to local changes of contrast. Introduction<br />

of changes by adding noise to the source image<br />

(hiding messages) may not cause visible changes within a single<br />

block, but it can cause changes in comparison to the<br />

image of adjacent blocks in resulted image.<br />

Summary<br />

b)<br />

Steganographic hiding information in images should not cause<br />

visible distortions to the human eye. The fact of hidden message<br />

can be regarded as noise, which is different for particular<br />

algorithms. Application of quality evaluation methods of the<br />

images based on the human eye perception, such as contrast<br />

threshold and contrast sensitivity function allows the determination<br />

of the quality of the resulting images and the steganographic<br />

method used whether it ensures required level of<br />

invisibility of hidden message.<br />

In addition by evaluating the quality of the source image it<br />

can be judged whether a certain picture is useful for hiding the<br />

information in or which areas are not suitable for this purpose.<br />

References<br />

Fig. 5. The image of the added noise: a) Gaussian noise, b) Poisson<br />

noise with λ = 0.1<br />

Rys. 5. Obraz z dodanym szumem: a) szumem Gaussa, b) szumem<br />

Poissona z λ = 0,1<br />

For example for a typical image with the town view shown<br />

in Fig. 4, with a size of 1024 x 768 pixels it can get data:<br />

• number of blocks of recognizable changes of contrast: 3742,<br />

• number of blocks of invisible changes of contrast: 8546.<br />

Number of blocks of imperceptive contrast to the human<br />

eye signifies the uniform areas. In these areas it should not<br />

make changes because the steganographic algorithm action<br />

[1] Bailey K. et al: An evaluation of image based steganography<br />

methods; Multimedia Tools and Applications vol. 30, Issue: 1,<br />

July 2006, pp. 55-88.<br />

[2] Conway M.: Code wars: Steganography, signals intelligence, and<br />

terrorism Knowledge; Technology & Policy vol. 16, Issue: 2, June<br />

2003, pp. 45-62.<br />

[3] Korostil J. et al: Opracowanie rozproszonego klucza steganograficznego.<br />

XII Sesja Naukowa Informatyki, Metody Informatyki<br />

Stosowanej. Kwartalnik Komisji Informatyki PAN Oddział<br />

w Gdańsku, nr 1/2008 (Tom 13), Szczecin 2008, ss. 75-82.<br />

[4] Obiektywne metody oceny jakości sygnału wideo. http://cygnus.<br />

tele.pw.edu.pl/dymarski/ptmt-old/video_quality.doc.<br />

[5] Zając M.: Funkcja wrażliwości na kontrast jako miara jakości<br />

widzenia; III Kongres Optyków zrzeszonych w Krajowej<br />

Rzemieślniczej Izbie Optycznej. Zakopane 2001.<br />

[6] Pyka K.: Uwarunkowania fizjologiczne i techniczne wpływające<br />

na percepcję obrazu obserwowanego na ekranie monitora.<br />

http://home.agh.edu.pl/~zfiit/publikacje_pliki/Pyka_2005b.pdf.<br />

[7] Pelli D.G. et al.: The design of a new letter chart for measuring<br />

contrast sensitivity; Vlin. Vision Sci. vol. 2, no 3, 1988, pp.<br />

187-199.<br />

[8] Mannos J. L. et al: The Effects of a Visual Fidelity Criterion on the<br />

Encoding of Images; IEEE Transactions on Information Theory,<br />

vol. 20, no 4, (1974) , pp. 525-535.<br />

[9] Zając M.: Badanie wzroku u dzieci. Seminarium z Optometrii.<br />

Politechnika Wrocławska. Wrocław 2003. ww.if.pwr.wroc.pl/optyka/optometria/seminarium/badanie_dzieci.pdf.<br />

44 ELEKTRONIKA 11/<strong>2009</strong>

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