We present a construction of a wavelet-type orthonormal basis for the space of radial L-functions in R via the concept of a radial multiresolution analysis. The elements of the basis are obtained from a single radial wavelet by usual dilations and generalized translations. Hereby the generalized translation reveals the group convolution of radial functions in R. We provide a simple way to const...

We consider the classification problem as a problem of approximation of a given training set. This approximation is constructed in a multiresolution framework, and organized in a tree-structure. It allows efficient training and query, both in constant time per training point. The proposed method is efficient for low-dimensional classification and regression estimation problems with large data s...

Real-time computer generated video will play an important role in multimedia content creation. Identiication of the camera parameters is an important subject to be solved in these environments. In this paper a possible solution based on image processing is shown. This solution uses the Generalized Hough Transform to calculate pan and tilt angles and the 3-D space coordinates of the camera. The ...

In this paper, we show that B-spline quarks and the associated quarklets fit into theory of biorthogonal multiwavelets. Quark vectors are used to define sequences subspaces [Formula: see text] which fulfill almost all conditions a multiresolution analysis. Under some special on parameters, they even satisfy those properties. Moreover, prove possess modulation matrices perfect reconstruction con...

The use of polygonal meshes for the representation of highly complex geometric objects has become the de facto standard in most computer graphics applications. Especially triangle meshes are preferred due to their algorithmic simplicity, numerical robustness, and efficient display. The possibility to decompose a given triangle mesh into a hierarchy of differently detailed approximations enables...

We introduce the concept of a refinable set relative to a family of contractive mappings on a metric space, and demonstrate how such sets are useful to recursively construct interpolants which have a multiscale structure. The notion of a refinable set parallels that of a refinable function, which is the basis of wavelet construction. The interpolation points we recursively generate from a refin...

All wavelets can be associated to a multiresolution like structure, i.e. an increasing sequence of subspaces of L(R). We consider the interaction of a wavelet and the translation operator in terms of which of the subspaces in this multiresolution like structure are invariant under the translation operator. This action defines the notion of the translation invariance property of order n. In this...

— Common MRI sampling patterns in kspace, such as spiral trajectories, have nonuniform density and do not lie on a rectangular grid. We propose mapping the sampled data to a pseudo-hex lattice, taking advantage of its approximate isotropic nature in k-space and square nature in the reconstructed image space. The group structure of the lattice is exploited to implement the Fourier transform comp...

This paper presents a new hybridization between MoM-GEC and a MultiResolution analysis (MR) which is based on the use of wavelets functions as trial functions. The proposed approach is developed to speed up convergence, alleviate calculation and then provide a considerable gain in requirements (processing time and memory storage) because it generates a sparse linear system. The approach consist...

This paper focuses on data enhancement, the process of building multiresolution, multi-modal models to be manipulated and displayed with human interaction. The goal of this research is to develop a method for answering the challenge of enhancing data. This method consists of building a data structure with multiresolution capabilities for data display. This process increases the effectiveness of...