A new multiresolution quadrilateral plate element is proposed and a multiresolution finite element method is hence presented. The multiresolution analysis (MRA) framework is formulated out of a mutually nesting displacement subspace sequence, whose basis functions are constructed of scaling and shifting on the element domain of basic node shape function. The basic node shape function is constru...

Traditional Internet traffic studies have primarily focused on the temporal characteristics of packet traces as observed on a single link within an ISP’s network. They have contributed to advances in the areas of self-similar stochastic processes, long-range dependence, and heavy-tailed distributions and have demonstrated the benefits of applying a wavelet-based multiresolution analysis (MRA) a...

A multiresolution analysis was performed to estimate the large-scale structure of cosmological N -body simulations. To explore relations between the multiresolution analysis and the galaxy distributions, a method that is familiar to image processing engineering was utilized. We proposed a new technique for quantifying the large-scale structures, and found that this is useful to discriminate dif...

In this paper, we presents a new approach to multiresolution motion analysis as a unified framework to facilitate a variety of motion editing tasks. Motion data are represented as a collection of coefficients that form a coarse-to-fine hierarchy. The coefficients at the coarsest level describe the global pattern of a motion signal, while those at fine levels provide different details at success...

SAR images have shown to be of high complexity and to require dedicated processing techniques. This paper presents two applications of the wavelet and multiresolution theory to the enhancement and characterization of SAR data. The rst application describes an improved method for speckle reduction. The second method uses a fractal-based texture measure to provide elements for SAR image segmentat...

This paper describes a method for converting an arbitrary mesh with irregular connectivity to a semi-regular multiresolution representation. A shape image encoding geometric and differential properties of the input model is computed. Standard image processing operations lead to an initial decomposition of the model that conforms to its salient features. A triangulation step performed on the res...

We study basic questions of wavelet decompositions associated with multiresolution analysis. A rather complete analysis of multiresolution associated with the solution of a refinement equation is presented. The notion of extensibility of a finite set of Laurent polynomials is shown to be central in the construction of wavelets by decomposition of spaces. Two examples of extensibility, first ove...

We investigate a recent mesh subdivision scheme, allowing multiresolution analysis of irregular triangular meshes by the wavelet transforms. We consider the wavelet scheme construction in terms of an inverse problem. Some experimental results on different meshes prove the efficiency of this approach in multiresolution schemes. In addition we show the effectiveness of the proposed algorithm for ...