A wavelet coding method for image data on arbitrarily shaped support applicable to the object-oriented coding of moving pictures, and to the efficient representation of texture data in computer graphics is proposed. Wavelet transform of arbitrarily shaped image is obtained by applying symmetrical extension technique at region boundaries and keeping the location of wavelet coefficient. For the e...

This paper presents Mean Best Basis algorithm, an extension of the well known Best Basis Wickerhouser’s method, for an adaptive wavelet decomposition of variable-length signals. A novel approach is used to obtain a decomposition tree of the wavelet-packet cosine hybrid transform for speech signal feature extraction. Obtained features are tested using the Polish language hidden Markov model phon...

The paper presents a novel despeckling method, based on Daubechies complex wavelet transform, for medical ultrasound images. Daubechies complex wavelet transform is used due to its approximate shift invariance property and extra information in imaginary plane of complex wavelet domain when compared to real wavelet domain. A wavelet shrinkage factor has been derived to estimate the noise-free wa...

In this paper, an adaptive physics-based method is developed for solving wave motion problems in one dimension (i.e., wave propagation in strings, rods and beams). The solution of the problem includes two main parts. In the first part, after discretization of the domain, a physics-based method is developed considering the conservation of mass and the balance of momentum. In the second part, ada...

preprint No. 1249, Department of Mathematics, University of Utrecht, July 2002. Submitted to SIAM J. Math. Anal. In [CDD00], Cohen, Dahmen and DeVore proposed an adaptive wavelet algorithm for solving operator equations. Assuming that the operator defines a boundedly invertible mapping between a Hilbert space and its dual, and that a Riesz basis of wavelet type for this Hilbert space is availab...

In this work, we consider the adaptive Wiener filtering of noisy images and image sequences. We begin by using an adaptive weighted averaging (AWA) approach to estimate the second-order statistics required by the Wiener filter. Experimentally, the resulting Wiener filter is improved by about 1dB in the sense of peak-to-peak SNR (PSNR). Also, the subjective improvement is significant in that the...

The Steganography is used for secure communication of information by embedding information in a cover object such as text, image, audio, video without any suspicion. An adaptive image steganography utilizing image denoising algorithm by wavelet thresholding. Adaptive steganography is a spatial case of both spatial and transform technique. Moreover it is introduced as statistics aware embedding ...

In this paper, we present a new compressed sensing implementation process for one dimension signal reconstruction. Firstly, one level wavelet decomposition of the one dimensional signal was finished. For using the adaptive wavelet transform based on lifting wavelet transforms, we can achieve the detail signals being zero (or almost zero) at big probability, so the signal has the better linear a...

In this paper, a novel wavelet balance method is proposed for steady-state analysis of nonlinear circuits. The proposed method presents several merits compared with those conventional frequency domain techniques. First, it has a high convergence rate. Second, it works in time domain so that many critical problems in frequency domain can be handled efficiently. Third, an adaptive scheme exists t...

A new speech enhancement system, which is based on a timefrequency adaptive wavelet soft thresholding, is presented in this paper. The system utilises a Bark-scaled wavelet packet decomposition integrated into a modified Weiner filtering technique using a novel threshold estimation method based on a magnitude decision-directed approach. First, a Bark-Scaled wavelet packet transform is used to d...