Image filtering with past parametrized biorthogonal transforms implemented on a new GUI research aid system

In this paper the authors show that fast parametrized biorthogonal transforms (FPBT) are well suited for adaptive generalized Wiener image filtering. Research results are obtained with a use of a new graphical user interface system for implementing various fast adaptive techniques, designed, implemented and published by the authors as a part of a project Innovative Economy Programme 2007-2013 „Platforma Informatyczna TEWI”

Lattice structures for synthesis and implementation of wavelet transforms

In this paper the novel lattice structure composed of homogeneous invertible two-point operations which are connected in regular and simple structure is proposed. Further on the pipeline scheme for implementation of such a structure is presented. It is proved with the orthogonal variant of the presented scheme that with respect to the computational complexity it is equivalent to the lifting technique. It means that the proposed scheme belongs to the class of the most effective algorithms for calculation of orthogonal wavelet transforms. The variant of the lattice structure with simplified two-point operations is also proposed. Finally the fundamentals of the synthesis of lattice structure coefficients with the aid of artificial neural networks and some aspects of lattice structures implementation on basic computational architectures are discussed

Improving digital watermarking fidelity using fast neural network for adaptive wavelet synthesis

This paper introduces a new adaptive algorithm for digital watermark embedding in wavelet domain. The proposed algorithm performs adaptive mother wavelet synthesis based on a low frequency component energy maximization. The algorithm is based on an orthogonal neural network. We demonstrate that the presented adaptive method can improve both the correlation between an extracted watermark and an embedded watermark, as well as the fidelity of an image. The proposed algorithm is applied to improve well known wavelet based embedding algorithms

On properties of a lattice structure for a Wavelet Filter Bank Implementation

This paper presents concept of a lattice structure for parametrization and implementation of a Discrete Wavelet Transform. Theoretical properties of the lattice structure are discussed in detail. An algorithm for converting the lattice structure to a wavelet filter bank coeffcients is constructed. A theoretical proof demonstrating that filters implemented by the lattice structure fulfil conditions imposed on an orthogonal wavelet filter bank is conducted