In paper we describe a successful applications of the wavelet transforms to still image compression. The wavelet transforms were designed by the usage of discrete interpolatory splines. These filters outperform the traditional biorthogonal 9/7 filters which are frequenty used in wavelet based compression. The new filters and the biorthogonal 9/7 are incorporated into SPIHT in order to measure a...

Geometric wavelet-like transforms for univariate and multivariate manifold-valued data can be constructed by means of nonlinear stationary subdivision rules which are intrinsic to the geometry under consideration. We show that in an appropriate vector bundle setting for a general class of interpolatory wavelet transforms, which applies to Riemannian geometry, Lie groups and other geometries, Hö...

This paper describes a technique for noise reduction in synthetic aperture radar interferometry. The noisy interferogram is decomposed using undecimated wavelet transform and the coefficients are weighted. A novel method for computing the weights for each subband, based on an estimate of the relative noise content in them, is presented with a median filter used as the noise estimator. The propo...

Weak fault feature extraction is of great significance to the diagnosis rolling bearing. At early stage defects, features are usually weak and easily submerged in strong background noise, which makes information extremely difficult be excavated. This paper proposes an iterative morphological difference product wavelet (MDPW) address this issue. In scheme, firstly, filter (MDPF) developed using ...

In this paper the use of classical and lifting based wavelets for image compression was presented. Both classical and lifting based wavelets are considered. Classical wavelets considered in this work are Haar wavelet, Daubechie wavelet, Coiflet wavelet, Biorthognal wavelet, Demeyer wavelet, and Symlet wavelet. Lifting based wavelet transforms considered are (5,3) and (9,7). Large number of imag...

In this paper, we propose a new gear fault recognition method by using morphological undecimated wavelet decomposition (MUWD), sample entropy and grey incidence. MUWD possesses both the characteristic of morphological filter in morphology and multi-resolution in wavelet transform. Then we develop multi-scale MUWD based on the characteristic of impulse feature extraction in difference morphologi...

Galaxies are arranged in interconnected walls and filaments forming a cosmic web encompassing huge, nearly empty, regions between the structures. Many statistical methods have been proposed in the past in order to describe the galaxy distribution and discriminate the different cosmological models. We present in this paper results relative to the use of new statistical tools using the 3D isotrop...

An analytic approach for the generation of non-periodic and periodic complementary sequences is advanced for lengths that are powers of two. The periodic complementary sequences can be obtained using symmetric or anti-symmetric extensions. The properties of their autocorrelation functions are studied. The non-periodic complementary sequences are the intersection between anti-symmetric and symme...

This paper aims to study the q-wavelet and the q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. As an application, an inversion formulas of the q-Riemann-Liouville and q-Weyl transforms using qwavelets are given. For this purpose, we shall attempt to extend the classical theory by giving their q-analogues.

Recent years have seen tremendous increase in the generation, transmission, and storage of color images. A new lossless image compression method for progressive-resolution transmission of color images is carried out in this paper based on spatial and spectral transforms. Reversible wavelet transforms are performed across red, green, and blue color sub bands first. Then adaptive spectral transfo...