In this study, the effect of earthquake frequency content and noise effects on damage detection has been investigated. For this purpose, the damage was defined as nonlinear behavior of beams and columns, and several ground motion records were scaled so that some elements yield under the applied excitation. Then the acceleration response data of each floor obtained using the nonlinear dynamic an...

In  this  paper  a  new  method  is  presented  for  structural  damage  identification.  First,  the damaged structure is  excited by short  duration impact acceleration  and then, the  recorded structural displacement time history responses under free vibration conditions are analyzed by Continuous Wavelet Transform (CWT) and Wavelet Residual Force (WRF) is calculated. Finally, an effective d...

Recently, the reference functions for the synthesis and analysis of the autostereoscopic multiview and integral images in three-dimensional displays were introduced. In the current paper, we propose the wavelets to analyze such images. The wavelets are built on these reference functions as on the scaling functions of the wavelet analysis. The continuous wavelet transform was successfully applie...

Abstract. A composite dilation Parseval frame wavelet is a collection of functions generating a Parseval frame for L2(Rn) under the actions of translations from a full rank lattice and dilations by products of elements of groups A and B. A minimally supported frequency composite dilation Parseval frame wavelet has generating functions whose Fourier transforms are characteristic functions of set...

In electron microscopy, 3D reconstruction is one key component in many computer-ized techniques for solving 3D structures of large protein assemblies using electron microscopy imagesof particles. Main challenges in 3D reconstruction include very low signal-to-noise ratio and very largescale of data sets involved in the computation. Motivated by the recent advances of sparsity-based<...

This study attempts to empirically estimate the interdependence between COVID-19, tourism market, oil prices, and sustainable climate in United States. In doing so, we employ an advanced Morlet’s wavelet approach, namely, Wavelet coherence transform (WCT), Partial Multiple Coherence found a strong co-movement variables, which is varied across time scales, indicating initial, peak, after peak ef...

For each pair (n, k) with 1 ≤ k < n, we construct a tight frame (ρλ : λ ∈ Λ) for L(R), which we call a frame of k-plane ridgelets. The intent is to efficiently represent functions which are smooth away from singularities along k-planes in R. We also develop tools to help decide whether in fact k-plane ridgelets provide the desired efficient representation. We first construct a wavelet-like tigh...

We propose an integrated wavelet-based framework of the active contour model(snake) for segmentation and motion tracking of deformable objects in video sequences. The input image frame is represented by means of wavelet transform. First, the moduli of wavelet transform coeecients are used in a multi-resolution motion estimation process to nd the initial snake contour in the current frame. The p...

We propose an integrated wavelet-based framework for active contour model(snake), which is used for motion tracking of deformable objects in a sequence of images. The input image frame is decomposed into multi-resolution representation using wavelet transform. First, the wavelet transform coefficients are used in a multi-resolution motion estimation process to find the initial contour in the fr...