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The Modified Frequency Algorithm of Digital Watermarking of Still Images Resistant to JPEG Compression
Author(s) -
V. G. Batura,
Alexander Tropchenko
Publication year - 2015
Publication title -
nauka i obrazovanie
Language(s) - English
Resource type - Journals
ISSN - 1994-0408
DOI - 10.7463/0715.0780916
Subject(s) - digital watermarking , computer science , data compression , jpeg , compression (physics) , algorithm , computer vision , artificial intelligence , image (mathematics) , materials science , composite material

Digital watermarking is an effective copyright protection for multimedia products (in particular, still images). Digital marking represents process of embedding into object of protection of a digital watermark which is invisible for a human eye. However there is rather large number of the harmful influences capable to destroy the watermark which is embedded into the still image. The most widespread attack is JPEG compression that is caused by efficiency of this format of compression and its big prevalence on the Internet.

The new algorithm which is modification of algorithm of Elham is presented in the present article. The algorithm of digital marking of motionless images carries out embedding of a watermark in frequency coefficients of discrete Hadamard transform of the chosen image blocks. The choice of blocks of the image for embedding of a digital watermark is carried out on the basis of the set threshold of entropy of pixels. The choice of low-frequency coefficients for embedding is carried out on the basis of comparison of values of coefficients of discrete cosine transformation with a predetermined threshold, depending on the product of the built-in watermark coefficient on change coefficient.

Resistance of new algorithm to compression of JPEG, noising, filtration, change of color, the size and histogram equalization is in details analysed. Research of algorithm consists in comparison of the appearance taken from the damaged image of a watermark with the introduced logo. Ability of algorithm to embedding of a watermark with a minimum level of distortions of the image is in addition analysed. It is established that the new algorithm in comparison by initial algorithm of Elham showed full resistance to compression of JPEG, and also the improved resistance to a noising, change of brightness and histogram equalization.

The developed algorithm can be used for copyright protection on the static images. Further studies will be used to study the effect of the use of blocks of different sizes of cover image for embedding a digital watermark on the resistance to attacks and invisibility of hidden information

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