تقنية محسنة للعلامة المائية الصفرية في الصورة الرقمية المستندة على التحليلات الجبرية
An Optimized Technique of Algebraic Decompositions Based Digital Image Zero Watermarking
- الباحث
- ندى صبيح محمد
- المشرف
- أريج مصعب عبد الدائم
- الجامعة
- الجامعة التكنولوجية
- الكلية / القسم
- قسم العلوم التطبيقية / الرياضيات التطبيقية
- الشهادة
- ماجستير
- السنة
- 2021
- لغة الرسالة
- انكليزي
- الكلمات المفتاحية
- Zero Watermarking; Algebraic Decompositions; Digital Images; Copyright Protection
Abstract
The close connection between mathematics, especially linear algebra and computer science has shown a great impact in the development of several fields, and the most important is image processing. Algebraic methods aroused interest in building digital image watermarking techniques and are used to find the features of the image to hide the watermark. This thesis aims to use the algebraic Hessemberge decomposition method (HDM) for the first time as an algebraic transformation to extract the features of the image without using any popular transformation for building a zero watermarking technique, besides using two additional transformations to improve the results. In addition, the singular value decomposition (SVD) is used to extract the features of the image side by side with the genetic algorithm (GA) to obtain optimal results. In this work, the HDM and SVD are used to build zero watermarking techniques. The discrete wavelet transform (DWT) and the discrete cosine transform (DCT) as additional transformations are used with HDM to improve the results and to increase the robustness of the technique. On the other hand, GA is used with both HDM and SVD to optimize the proposed techniques in the YCbCr space without using any other transformation such that the watermark can be extracted successfully and the algorithms can resist most of the common attacks. The YCbCr space is one of the spaces that converting the RGB images into three components Y, Cb, and Cr. The Y component represents the brightness (luma) of the color or the grayscale image, while Cb represents the blue component and Cr represents the red component. Firstly, the experimental results manifested that all the algorithms in this thesis worked successfully and efficiently. In particular, the optimized zero watermarking technique using HDM and SVD algebraic methods, with GA, are the best according to the values of the NC before and after attacks. In this case, the value of the NC=1 before any attack for both techniques, and after corrupted by any attack, the NC value is ranging between 0.743345 and 1 for both techniques. The higher value of the PSNR is equal to 36.4464 after attacks . Based on these results, it is concluded that the algebraic decomposition methods are very useful and too efficient in the digital image watermarking techniques.
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