Imperceptible digital watermarking scheme combining 4-level discrete wavelet transform with singular value decomposition

An imperceptible digital watermarking algorithm based on 4-level discrete wavelet transform, discrete cosine transform and singular value decomposition is designed. In this method, the 4-level diagonal sub-band image is obtained by performing the 4-level two-dimensional wavelet transform on the original image, and then a coefficient matrix is produced by applying the discrete cosine transform on the 4-level diagonal sub-band image. A diagonal matrix is constructed by performing the singular value decomposition on the coefficient matrix. The watermark is scrambled by Arnold transform and Logistic map, then the scrambled watermark is processed by the singular value decomposition. Later, the encryption process is completed by embedding the scrambled watermark singular value into the singular value of the coefficient matrix. Simulation results demonstrate that the proposed digital watermarking algorithm could resist JPEG compression attack, Salt and Pepper noise attack, Gaussian noise attack, filter attack, brightness change attack, geometric attack, cut attack, etc.