A WATERMARKING TECHNIQUE USING FINITE RIDGELET TRANSFORM AND BIDIAGONAL SVD

Document Type : Original Article

Author
Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran.
Abstract
The ease with which digital images can be manipulated with readily available editing tools highlights the critical need for robust copyright protection mechanisms. Digital watermarking tackles this challenge by embedding imperceptible ownership information within images. However, striking a balance between transparency (invisibility of the watermark) and robustness against attacks remains a significant hurdle. This paper introduces a watermarking technique that uses the combined strengths of Finite Ridgelet Transform (FRIT) and Bidiagonal Singular Value Decomposition (BSVD). FRIT effectively captures image features, particularly linear structures, while BSVD facilitates efficient matrix decomposition. By embedding the watermark within the singular values derived from FRIT coefficients, our approach achieves a balance between watermark imperceptibility and robustness. Experimental results demonstrate the superior performance of the proposed method in terms of image quality preservation and resistance to common image processing attacks. The combination of FRIT and BSVD offers a promising avenue for enhancing the security and integrity of digital content.

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