Feature extraction is an important part in Content-based image retrieval (CBIR).It is an active research area over the past few decades. In this paper texture feature extraction of mammogram images are done. Biorthogonal wavelet filter via lifting scheme is used for the extraction of texture features. Maximum likelihood estimator (MLE) is used for texture feature estimation. Here Digital Databa...

This paper is concerned with problems in the context of the theoretical foundation of adaptive (wavelet) algorithms for the numerical treatment of operator equations. It is well-known that the analysis of such schemes naturally leads to function spaces of Besov type. But, especially when dealing with equations on non-smooth manifolds, the definition of these spaces is not straightforward. Never...

We present an elegant way to construct a highorder scheme to elevate the degree of regularity and the vanishing moments of wavelets at any order s. To this end, we consider a wavelet family orthonormal or biorthonormal and with an iterative process using a compact operator we build others wavelets (existing or none) which provides useful properties as the elevation of the regularity and vanishi...

A biorthogonal wavelet is derived from a pair of biorthogonal refinable functions using the standard technique in multiresolution analysis. In this paper, we introduce the concept of projectable refinable functions and demonstrate that many multivariate refinable functions are projectable; that is, they essentially carry the tensor product (separable) structure though themselves may be non-tens...

Smooth orthogonal and biorthogonal multiwavelets on the real line with their scaling function vectors being supported on [−1, 1] are of interest in constructing wavelet bases on the interval [0, 1] due to their simple structure. In this paper, we shall present a symmetric C orthogonal multiwavelet with multiplicity 4 such that its orthogonal scaling function vector is supported on [−1, 1], has ...

We introduce and study a fast implementation of Orthogonal Greedy Algorithm for wavelet frames. The results of numerical simulation for N -term approximations of standard images by tight wavelet frames showed that to provide the same PSNR the popular 9/7 biorthogonal wavelet bases require 30%–40% more terms of the expansion. This is equivalent to 2–4 dB advantage of the wavelet frames in PSNR o...