Non-unit mapped radial moments platform for robust, geometric invariant image watermarking and reversible data hiding

In this paper to adapt radial moment based watermarking for reversible cases, we have developed non-unit mapped radial moments. They have been used to extract the image invariant features to produce robust geometric invariant watermarking and reversible data hiding. This aim has been achieved through using two other newly introduced methods called reversible interval phase modulation and diagonal rotation estimation. In this paper, at first a mathematical procedure to compute these newly modified radial moments has been proposed. Then a watermarking platform has been suggested which can be used for either robust or reversible data hiding fields. The proposed robust watermarking provides robustness against signal processing and both local and global geometric attacks while at the same time the achieved robust watermarked image can remain integer as the original one. Also, the proposed radial moment computation procedure has been used to produce reversible data hiding. Reversible interval phase modulation and diagonal rotation estimation methods have been proposed to avoid any type of normalization-like degradation in the embedding and extraction. Various aspects of the proposed watermarking scheme have been thoroughly examined through several experiments and the results are highly promising.