Construction of Wavelets and Applications

Construction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix

We present a method for  the construction of compactlysupported $left (begin{array}{lll}1 & 0 & -1\1 & 1 & 0 \1 &  0 & 1\end{array}right )$-wavelets  under a mild condition. Wavelets inherit thesymmetry of the corresponding scaling function and satisfies thevanishing moment condition originating in the symbols of the scalingfunction. As an application, an  example is  provided.

A recursive construction of a class of finite normalized tight frames

Finite normalized tight frames are interesting because they provide decompositions in applications and some physical interpretations. In this article, we give a recursive method for constructing them.

Construction of Compactly Supported Nonseparable Orthogonal Wavelets of L^2(R^n)

Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions

In this manuscript a new method is introduced for solving fractional differential equations. The fractional derivative is described in the Caputo sense. The main idea is to use fractional-order Legendre wavelets and operational matrix of fractional-order integration. First the fractional-order Legendre wavelets (FLWs) are presented. Then a family of piecewise functions is proposed, based on whi...

Wavelets in Numerical Simulation - Problem Adapted Construction and Applications

When there are many people who don't need to expect something more than the benefits to take, we will suggest you to have willing to reach all benefits. Be sure and surely do to take this wavelets in numerical simulation problem adapted construction and applications that gives the best reasons to read. When you really need to get the reason why, this wavelets in numerical simulation problem ada...

Multiresolution Wavelet Representations for Arbitrary Meshes

Wavelets and multiresolution analysis are instrumental for developing ee-cient methods for representing, storing and manipulating functions at various levels of detail. Although alternative methods such as hierarchical quadtrees or pyramidal models have been used to that eeect as well, wavelets have picked up increasing popularity in recent years due to their energy compactness, ee-ciency, and ...