Abstract

We propose a new blind digital image watermarking method based on the dyadic wavelet transform (DYWT) and interval arithmetic (IA). Because the DYWT has a redundant representation, the amount of information that the watermark must contain is greater than in the case of the methods based on the ordinary discrete wavelet transforms. Our watermark is a ternary-valued logo that is embedded into the high-frequency components through use of the DYWT and IA. We describe the properties of the DYWT based on IA (IDYWT) and its computational method. We also describe our watermarking procedure in detail and present experimental results demonstrating that our method produces watermarked images that have better quality and are robust with respect to attacks on the following types: marking, clipping, median filtering, contrast tuning (histeq and imadjust commands in the MATLAB Image Processing Toolbox), addition of Gaussian white noise, addition of salt & pepper noise, JPEG and JPEG2000 compressions, rotation, resizing.

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