A new computational method based on Wilson wavelets is proposed for solving a class of nonlinear stochastic It^{o}-Volterra integral equations. To do this a new stochastic operational matrix of It^{o} integration for Wilson wavelets is obtained. Block pulse functions (BPFs) and collocation method are used to generate a process to forming this matrix. Using these basis functions and their operat...

In many applications, including analysis of seismic signals, Daubechies wavelets perform much better than other families wavelets. this paper, we provide a possible theoretical explanation for the empirical success Specifically, show that these are optimal with respect to any optimality criterion satisfies natural properties scale- and shift-invariance.

Aprs avoir decrit un cas de  duplicite complete de l'artere  hepatique. Les auteure_comparent leur cas avec ceux deJa signales das la litterature et signalent  son importance tant en anatomie, en radiologie qu'en chirurgie. 

A new class of biorthogonal wavelets—interpolating distributed approximating functional (DAF) wavelets are proposed as a powerful basis for scale-space functional analysis and approximation. The important advantage is that these wavelets can be designed with infinite smoothness in both time and frequency spaces, and have as well symmetric interpolating characteristics. Boundary adaptive wavelet...

A new family of wavelets is introduced, which is associated with Legendre polynomials. These wavelets, termed spherical harmonic or Legendre wavelets, possess compact support. The method for the wavelet construction is derived from the association of ordinary second order differential equations with multiresolution filters. The low-pass filter associated to Legendre multiresolution analysis is ...

Abstract: In this article we present problem recognizing gestures and signs executed by hands. Gesture recognition is the process by which gestures formed by a user interact with the computer or is the element of the special signs language to convey meaning.We propose a methods for the recognition of hand gestures using Gabor wavelets (GW ), Radon transform (RT ) and texture features for gestur...

Tensor product (separable) multivariate (bi)orthogonal wavelets have been widely used in many applications. On the other hand, non-tensor product (nonseparable) wavelets have been extensively argued in the literature to have many advantages over separable wavelets, for example, more freedom in design of nonseparable wavelets (such design is typically much more complicated and di±cult than the a...

A novel and eective method based on Haar wavelets and Block Pulse Functions(BPFs) is proposed to solve nonlinear Fredholm integro-dierential equations of fractional order.The operational matrix of Haar wavelets via BPFs is derived and together with Haar waveletoperational matrix of fractional integration are used to transform the mentioned equation to asystem of algebraic equations. Our new met...