Sequences constitute a large portion of data stored in databases. Data mining applications require the ability to process similarity queries over a large amount of time series data. The query processing performance is an important factor that needs to be taken into consideration. This article proposes a similarity retrieval algorithm for time series. The proposed approach utilizes wavelet trans...

In this paper we consider the conformal group of the unit sphere S, the proper Lorentz group Spin(1, n), for the study of spherical continuous wavelet transforms. The parameter space is determined by the factorization of the gyrogroup of the unit ball by an appropriate gyro-subgroup. We study two families of sections that give rise to anisotropic conformal dilation operators for the unit sphere...

We describe and analyze a new dyadic recursive partitioning algorithm for efficient classification of large two-dimensional data sets, called progressive classification. It uses generic (parametric or nonparametric) classifiers on a low-resolution representation of the data obtained using the discrete wavelet transform. In this representation, each point corresponds to a block of samples from t...

We describe and analyze a new dyadic recursive partitioning algorithm for eecient classiication of large two-dimensional data sets, called progressive classiication. It uses generic (parametric or nonparametric) classiiers on a low-resolution representation of the data obtained using the discrete wavelet transform. In this representation, each point corresponds to a block of samples from the or...

In this paper, formulas relating the Radon transform and Radon transform inversion to various wavelet and multiscale transformations, including the continuous wavelet transform, the semi{continuous wavelet transform of Mallat, steerable multiscale lters of Freeman and Adelson, and separable orthogonal and non{orthogonal wavelet bases, are given. The use of wavelets as a valuable tool in the loc...

Nonlinear diffusion, proposed by Perona and Malik, is a well­known method for image denoising with edge preserving characteristics. Recently, nonlinear diffusion has been shown to be equivalent to iterative wavelet shrinkage, but only for (1) Mallat­Zhong dyadic wavelet transform and (2) Haar wavelet transform. In this paper, we generalize the equivalence of nonlinea...

Image Fusion is a process in which combine the relevant or same information from a set of images, into a single image that is more realistic, informative and complete than the previous input images. During the past two decades, many image fusion methods have been proposed and developed. Image Fusion methods are categorized into pixel, feature, and decision levels according to the stage at which...

This paper develops a wavelet (spectral) approach to test the presence of a unit root in a stochastic process. The wavelet approach is appealing, since it is based directly on the different behavior of the spectra of a unit root process and that of a short memory stationary process. By decomposing the variance (energy) of the underlying process into the variance of its low frequency components ...

Compression is used to decrease the number of bits required to store and transmit images without any measurable loss of information. Lossless color image compression for an image in RGB color model is done by a Reversible Color Transformation. It converts RGB to YUV color model. Y component is encoded by method called Lifting Wavelet Transform (LWT) with Huffman coding. The lifting scheme is a ...