In this paper, we mainly concentrate on the recognition module of an object detection and recognition system. Two types of images, visible and infrared, are investigated in order to improve the objects detection and recognition process. Different types of mother wavelets (Haar, Daubechies, Coiflet, Symlet, Biorthogonal, Fractional causal or generalized, etc.) are used to extract the wavelet coe...

In this paper a new face recognition technique based on Two-Dimensional Principal Component Analysis (2DPCA) on Wavelet Subband is proposed. We extract image features of facial images from various wavelet transforms (Haar, Daubechies, Coiflet, Symlet, Biothogonal and Reverse Biorthogonal) by decomposing face image in subbands 1 to 8. These features are analyzed by 2DPCA and Euclidean distance m...

This paper is an expository survey of results on integral representations and discrete sum expansions of functions in L(R) in terms of coherent states. Two types of coherent states are considered: Weyl–Heisenberg coherent states, which arise from translations and modulations of a single function, and affine coherent states, called “wavelets,” which arise as translations and dilations of a singl...

1 This paper is concerned with the implementation of the wavelet Galerkin scheme for the Laplacian in two dimensions. We utilize biorthogonal wavelets constructed by A. Cohen, I. Daubechies and J.-C. Feauveau in 3] for the discretization leading to quasi-sparse system matrices which can be compressed without loss of accuracy. We develop algorithms for the computation of the compressed system ma...

For the handwritten digit classification experiment described in Section 6.1, Table 1 shows the classification error for Daubechies wavelets with 2 vanishing moments (DB2). Table 1. Classification errors in percent for handwritten digit classification using DB2 wavelet filters, different non-linearities, and different pooling operators For the feature importance experiment described in Section ...

This paper presents new vector filter banks, in particular biorthogonal Hermite cubic multiwavelets with short, smooth duals. We study different preprocessing techniques and the covariance structure of corresponding transforms. Results of numerical experiments in signal denoising and image compression using multi-filters are discussed. We compare the performance of several multi-filters with th...

As shown by Dahmen, Harbrecht and Schneider [7, 23, 32], the fully discrete wavelet Galerkin scheme for boundary integral equations scales linearly with the number of unknowns without compromising the accuracy of the underlying Galerkin scheme. The supposition is a wavelet basis with a sufficiently large number of vanishing moments. In this paper we present several constructions of appropriate ...

Wavelet analysis is one of the most important methods for analyzing the surface Electromyography (sEMG) signal. The aim of this study was to investigate the wavelet function that is optimum to identify and denoise the sEMG signal for multifunction myoelectric control. This study is motivated by the fact that there is no universal mother wavelet that is suitable for all types of signal. The righ...

This paper investigates the emerging notion of multiwavelets in the context of multirate filter banks, and applies a multiwavelet system to image coding. Multiwavelets are of interest because their constituent filters can be simultaneously symmetric and orthogonal (this combination is impossible for 2-band PR-QMFs), and because one can obtain higher orders of approximation (more vanishing wavel...

In this paper, we study scalar multivariate non-stationary subdivision schemes with integer dilation matrix M and present a unifying, general approach for checking their convergence and for determining their Hölder regularity (latter in the case [Formula: see text]). The combination of the concepts of asymptotic similarity and approximate sum rules allows us to link stationary and non-stationar...