spectral decomposition is a powerful tool for analysis of seismic data. fourier transform determines the frequency contents of a signal. but for analysis of non-stationary signals, 1-d transform to frequency domain is not sufficient. in early years, transforming of seismic traces into time and frequency domain was done via windowed fourier transform, called a short time fourier transform (stft)...

The use of a complex wavelet transform with similar properties to the DT-CWT in seismic processing was suggested in Fernandes (2001). A wavelet basis was used for linear inversion with application to well logging in Li et. al., (1996), using a fully decimated wavelet transform and the Haar wavelet. However, the transform used does not have the shift invariance and directional selectivity proper...

This study presents an original method to detect edges in Synthetic Aperture Radar images corrupted by speckle. We show that the Continuous Wavelet Transform (CWT) allows to accurately detect edges embedded in speckle. Edges give rise to a conic signature in the CWT. Furthermore, the Signal t o Noise Ratio (SNR) increases with the scale of the CWT. The optimal wavelet maximizing the SNR is deri...

In this paper, a three Degrees of Freedom (DOF) model of a quarter vehicle suspension system is proposed including the seat driver mass. The modal parameters of this system, which indicate the comfort and the safety of the suspension, are identified using Wavelet analysis. Two applications of wavelet analysis are presented: signal denoising based on the Discrete Wavelet Transform (DWT) and moda...

In his/her daily round each man feels the necessity to use a database containing images. The user’s basic requirements reduce to the following. The image features extraction rate to be as much as possible, the accuracy degree to be high as well as the time for comparison between the image features to be minimum. Besides, for the needs of the modern image databases it is important the extracted ...

We survey the construction of the continuous wavelet transform (CWT) on the two-sphere. Then we discuss the discretization of the spherical CWT, obtaining various types of discrete frames. Finally we give some indications on the construction of a CWT on other conic sections.

The dual-tree complex wavelet transform (CWT) is a relatively recent enhancement of the discrete wavelet transform (DWT) with important additional properties: It is nearly shift-invariant and directionally selective in two and higher dimensions. It achieves this with a redundancy factor of only 2 for d-dimensional signals, which is substantially lower than the undecimated DWT. The multidimensio...

The dual-tree complex wavelet transform is a useful tool in signal and image processing. In this paper, we propose a dual-tree complex wavelet transform (CWT) based algorithm for image inpainting problem. Our approach is based on Cai, Chan, Shen and Shen’s framelet-based algorithm. The complex wavelet transform outperforms the standard real wavelet transform in the sense of shift-invariance, di...

In this paper, we propose a novel local appearance feature extraction method based on multi-resolution Dual Tree Complex Wavelet Transform (DT-CWT). Each face is described by a subset of band filtered images containing block-based DT-CWT coefficients. These coefficients characterize the face texture. The block based mean and variance of complex wavelet coefficients are used to describe the face...

In this paper, we propose novel face recognition method based on local appearance feature extraction using hybrid mode of local ridgelet and fused dual-tree complex wavelet transform (DT-CWT). It provides a local multiscale description of images with good directional selectivity, effective edge representation and invariance to shifts and in-plane rotations. In the dual-tree implementation, two ...