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Issue title: Theory and Applications of Fractional Fourier Transform and its Variants
Guest editors: Yudong Zhang, Xiao-Jun Yang, Carlo Cattani, Zhengchao Dong, Ti-Fei Yuan and Liang-Xiu Han
Article type: Research Article
Authors: Sharmaa, J. B.a; * | Sharma, K.K.b | Purohit, S.D.c | Atangana, Abdond
Affiliations: [a] Department of E.C.E, Rajasthan Technical University, Kota, India. jballabh.sharma@gmail.com | [b] Department of E.C.E, Malviya National Institute of Technology, Jaipur, India. kksharma_mrec@yahoo.com | [c] Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India. sunil_a_purohit@yahoo.com | [d] Institute for Groundwater Studies, University of the Free State, 9301, Bloemfontein, South Africa. AtanganaA@ufs.ac.za
Correspondence: [*] Address for correspondence: Department of E.C.E, Rajasthan Technical University, Kota, India
Abstract: Watermarking is proposed as solution to authentication, copyright protection and security requirements of multimedia objects (speech, image and video). In this paper a watermarking scheme based on finite radon transform (FRAT), fractional Fourier Transform (FRFT) and singular value decomposition is proposed. In the proposed scheme, image to be watermarked is first transformed by finite radon transform, the radon transformed image is further transformed by FRFT, and singular values of FRFT transformed image are modified to embed the watermark. Inverse transformation is applied to obtain watermarked image. Simulations are performed under various test conditions with different FRFT transform angles for improved robustness and visual transparence of watermarked image. Results of the proposed scheme are better in comparison to the existing schemes for most of the attacks. Proposed scheme provide additional degree of freedom in security, robustness, payload capacity and visual transparence. Proposed scheme can also be used to communicate or store the watermarked image as erasure code, to reduce communication errors over a network, due to the use of FRAT.
Keywords: Image watermarking, Fractional Fourier transform, Finite Radon transforms, Singular Value Decomposition
DOI: 10.3233/FI-2017-1508
Journal: Fundamenta Informaticae, vol. 151, no. 1-4, pp. 523-543, 2017
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