In this paper, we investigate the use of compactly supported divergencefree wavelets for the representation of the Navier-Stokes solution. After reminding the theoretical construction of divergence-free wavelet vectors, we present in detail the bases and corresponding fast algorithms for 2D and 3D incompressible flows. In order to compute the nonlinear term, we propose a new method which provid...

This paper surveys the progress made on pairwise orthogonal wavelet frames and comments on the construction methods. There are a few known constructions based on the unitary extension principle, a paraunitary matrix and a given modulation matrix. A polyphase matrix based construction method has been presented which satisfies the condition of unitary extension principle yielding pairwise orthogo...

This paper proposes a new approach for enhancing the robustness of wavelet-based image watermarking algorithms. The method adjusts wavelet used in the process of image watermarking in order to maximize resistance against image processing operations. Effectiveness of the approach is demonstrated using blind multiplicative watermarking algorithm, but it can easily be generalized to all wavelet-ba...

Form document analysis is one of the most essential tasks in document analysis and recognition. One of the most fundamental and crucial tasks is the extraction of the reference lines which are contained in almost all form documents. This paper presents an efficient methodology for the complicated grey-level form image processing. We construct a non-orthogonal wavelet with adjustable rectangle s...

In this paper, we present a method of approximating a given 2D filter using the orthogonal wavelet filter banks. Construction of 2D orthogonal wavelet filter banks is still an open problem. In this paper, a family of orthogonal wavelet filter banks based on 2D lattice structure are used to approximate the desirable filter. By virtue of this structure, we approximate the given filter step by ste...

Background: Electromyographic (EMG) signal decomposition is the process by which an EMG signal is decomposed into its constituent motor unit potential trains (MUPTs). A major step in EMG decomposition is feature extraction in which each detected motor unit potential (MUP) is represented by a feature vector. As with any other pattern recognition system, feature extraction has a significant impac...