The invention relates to a printing and scanning resilient watermarking method based on mathematical modeling, comprisng the mathematical modeling and correction of pixel
distortion,
watermark embedment and
watermark detection. Mathematical modeling and correction of pixel
distortion carries out mathematical modeling to the pixel
distortion of an image brought by digital halftoning,
dot gain,
gamma correction, quantification and other links during a printing and scanning process and corrects the pixel distortion based on mathematical modeling so as to improve the
watermark detection accuracy.
Watermark embedment conducts analysis based on the mathematical modeling to determine an appropriate embedded domain, further investigate the
impact of embedded watermarks at different positions in the embedded domain on the robustness and capacity of
watermark algorithm and the fidelity of the image and determine the reasonable embedding positions of the watermarks.
Watermark detection corrects the image to be detected and extracts the watermarks according to a model curve of the changed embedded domain before and after image printing and scanning obtained from mathematical modeling analysis. The invention corrects the pixel distortion that the printing and scanning process to the image by mathematical modeling, fits the model curve through a large amount of experimental data, corrects the printed and scanned image with the obtained model curve, detects the watermarks of the corrected image and can effectively improve the accuracy of watermark detection; and novel printing and scanning resilient
digital image watermarking
algorithm based on DWT and DFT is presented by integrating the pixel distortion mathematical modeling and correction, and the novel
algorithm carries out pixel distortion mathematical modeling and correction on a
wavelet approximation subgraph of the image.