Robust Digital Watermarking Based on the Log-Polar Mapping

Abstract

The geometrical attacks are still an open problem for many digital watermarking algorithms used in present time. Most of geometrical attacks can be described by using affine transforms. This article deals with digital watermarking in images robust against the affine transformations. The new approach to improve robustness against geometrical attacks is presented. The discrete Fourier transform and log-polar mapping is used for watermark embedding and for watermark detection. Some attacks against the embedded watermarks are performed and the results are given.

Keywords

• Digital watermarking
• geometrical attacks
• discrete Fourier transform
• log-polar mapping
• hash function