Digital images watermarking is a method for data hiding that ensures the security of multimedia data. In these ways, watermark can be digital image or stored within content. The Shearlet transform, multi-resolution and multi-directional conversion, used in images. Due to its superior features, this conversion increase efficiency applications such as paper, SVD transforms are with Whale optimiza...

In this paper, a novel high dynamic range (HDR) image zero-watermarking algorithm against the tone mapping attack is proposed. order to extract stable and invariant features for robust zero-watermarking, shift-invariant shearlet transform (SIST) used HDR image. Firstly, converted CIELAB color space, L component selected perform SIST obtaining low-frequency subband containing structure informati...

Abstract We consider the recovery of square-integrable signals from discrete, equidistant samples their Gabor transform magnitude and show that, in general, can not be recovered such samples. In particular, we that for any lattice, one construct functions $$L^2({\mathbb {R}})$$ L2</mml...

In this paper, we introduce pyramid-adapted shearlet systems for the three-dimensional setting, and show how one can construct frames for L(R) with this particular shearlet structure. We then introduce a generalized three-dimensional cartoon-like image model class of piecewise C smooth functions with discontinuities on a C smooth surface with 1 < α ≤ 2 and show that pyramid-adapted shearlet sys...