TheMultiscale Local Polynomial Transform (MLPT), developped in this paper, combines the benefits from local polynomial smoothing with sparse multiscale decompositions. The contribution of the paper is twofold. First, it focusses on the bandwidths used throughout the transform. These bandwidths operate as user controlled scales in a multiscale analysis, which is explained to be of particular int...

We present the results of a wavelet-based approach to the study of the chaotic dynamics of a one dimensional model that shows a direct transition to spatiotemporal chaos. We find that the dynamics of this model in the spatiotemporally chaotic regime may be understood in terms of localized dynamics in both space and scale (wavenumber). A projection onto a Daubechies basis yields a good separatio...

We study the general problem of oblique projections in discrete shift-invariant spaces of 12 and we give error bounds on the approximation. We define the concept of discrete multiresolutions and wavelet spaces and show that the oblique projections on certain subclasses of discrete multiresolutions and their associated wavelet spaces can be obtained using perfect reconstruction filter banks. The...

Abstract—Method for object motion characteristic estimation based on wavelet Multi-Resolution Analysis: MRA is proposed. With moving pictures, the motion characteristics, direction of translation, roll/pitch/yaw rotations can be estimated by MRA with an appropriate support length of the base function of wavelet. Through simulation study, method for determination of the appropriate support lengt...

1. Natanson I. P.(1949), Constructive Function Theory, Gosudarstvennoe Izdatel’stvo Tehniko-Teoreticeskoi Literatury, Moscow . 2. Chui C. K.(1992), An Introduction to wavelets(Wavelet analysis and its applications), Vol. 1, Academic Press, USA. 3. Daubechies I.(1992) ,”Ten Lectures on Wavelets” SIAM, Philadelphia. 4. Meyer Y.(1993), (Toulouse (1992))(Meyer Y. and Roques S.,eds.), Frontiers, vet...

In this study wavelet based high-order Taylor Galerkin methods is introduced. Additional time layers are used to obtain high-order temporal accuracy unattainable within a two-step strategy. Two explicit model schemes are constructed and asymptotic stability of schemes are verified. The compactly supported orthogonal wavelet bases developed by Daubechies are used in Galerkin scheme. The behavior...

Recently discrete wavelet transform and wavelet packet has emerged as popular techniques for image compression. The wavelet transform is one of the major processing components of image compression. The results of the compression change as per the basis and tap of the wavelet used. This paper compares compression performance of Daubechies, Biorthogonal, Coiflets and other wavelets along with res...

Wavelets are powerful mechanisms for analyzing and processing digital signals. The wavelet transform translates the time-amplitude representation of a signal to a time-frequency representation that is encapsulated as a set of wavelet coefficients. These wavelet coefficients can be manipulated in a frequency-dependent manner to achieve various digital signal processing effects. The inverse wavel...

OBJECTIVES This study examined the feasibility of using a wavelet analysis of radiofrequency (RF) intravascular ultrasound (IVUS) signals in detecting lipid-laden plaque. BACKGROUND Wavelet analysis is a new mathematical model for assessing local changes in a geometrical profile of time-series signals. METHODS Radiofrequency IVUS signals of 85 arbitrarily selected vectors were acquired from...