Non-orthogonal spline wavelets are developed for Galerkin BEM. The proposed wavelets have compact supports and closed-form expressions. Besides of it, one can choose arbitrarily the order of vanishing moments of the wavelets independently of order of B-splines. Sparse coefficient matrices are obtained by truncating the small elements a priori. The memory requirement and computational time can b...

This paper provides several constructions of compactly supported wavelets generated by interpolatory reenable functions. It was shown in D1] that there is no real compactly supported orthonormal symmetric dyadic reenable function, except the trivial case; and also shown in L] and GM] that there is no compactly supported interpolatory orthonormal dyadic reenable function. Hence, for the dyadic d...

One of the most recent trends in biometrics is recognition by ear appearance in head profile images. Determining the region of interest which contains the ear is an important step in an ear biometric system. To this end, we propose a robust, simple and effective method for ear detection from profile images by employing a bank of curved and stretched Gabor wavelets, known as banana wavelets. A 1...

This paper analyses the application of wavelets for the efficient detection of QRS complex in ECG. Wavelets provide simultaneous time and frequency information. In this research, the effects of the properties of different wavelet functions, such as time/frequency localization and linearity, on the accuracy of QRS detection are examined. Initially, a wavelet transform filtering is applied to the...

1. Introduction Wavelets are acquiring a visibility and popularity that may soon be on the scale rst enjoyed by fractals a few years back. Like fractals, wavelets have attractive and novel features, both as mathematical entities and in numerous applications. They are often touted as worthwhile alternatives to classical Fourier analysis, which works best when applied to periodic data: wavelet me...

Here we present a method of constructing steerable wavelet frames in L2(R) that generalizes and unifies previous approaches, including Simoncelli’s pyramid and Riesz wavelets. The motivation for steerable wavelets is the need to more accurately account for the orientation of data. Such wavelets can be constructed by decomposing an isotropic mother wavelet into a finite collection of oriented mo...

MOTIVATION At a recent meeting, the wavelet transform was depicted as a small child kicking back at its father, the Fourier transform. Wavelets are more efficient and faster than Fourier methods in capturing the essence of data. Nowadays there is a growing interest in using wavelets in the analysis of biological sequences and molecular biology-related signals. RESULTS This review is intended ...

Following the approach of Chui and Quak, we investigate semi-orthogonal spline wavelets on the unit interval [0, 1]. We give a slightly different construction of boundary wavelets. As a result, we are able to prove that the inner wavelets and the newly constructed boundary wavelets together constitute a Riesz basis for the wavelet space at each level with the Riesz bounds being level-independen...

We construct orthonormal wavelet bases of L 2 (IR 2) with compact support for dilation matrices of determinant 2. The key idea is to describe the set H 2 of all 2d scaling coeecients satisfying the orthogonality condition as an implicit function. This set includes the scaling coeecients for the induced 1d wavelets. We compute the tangent space of H 2 at H N , the scaling coeecients for the indu...

We introduce a method to construct large classes of MSF wavelets of the Hardy space H2(R) and symmetric MSF wavelets of L2(R), and discuss the classification of such sets. As application, we show that there are uncountably many wavelet sets of L2(R) and H2(R). We also enumerate all symmetric wavelets of L2(R) with at most three intervals in the positive axis as well as 3-interval wavelet sets o...