Publications related to Characteristics of a bridge condition assessment method based on state representation methodology (SRM) and damage detection sensitivity

Wavelet-Fourier CORSING techniques for multidimensional advection-diffusion-reaction equations

We present and analyze a novel wavelet-Fourier technique for the numerical treatment of multidimensional advection–diffusion–reaction equations based on the COmpRessed SolvING (CORSING) paradigm. Combining the Petrov–Galerkin technique with the compressed ...

2020

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

Nikola Besic, Urs Martin Germann, Daniele Nerini

In this paper we present a non-stationary stochastic generator for radar rainfall fields based on the short-space Fourier transform (SSFT). The statistical properties of rainfall fields often exhibit significant spatial heterogeneity due to variability in ...

Copernicus GmbH2017

An Adaptive Sublinear-Time Block Sparse Fourier Transform

Volkan Cevher, Mikhail Kapralov, Jonathan Mark Scarlett, Amir Zandieh

The problem of approximately computing the

k

dominant Fourier coefficients of a vector

X

quickly, and using few samples in time domain, is known as the Sparse Fourier Transform (sparse FFT) problem. A long line of work on the sparse FFT has resulted in ...

2017

Fast Detection and Refined Scale Estimation Using Complex Isotropic Wavelets

Michaël Unser, Daniel Sage, Zsuzsanna Püspöki, John Paul Ward

The dyadic scaling in the discrete wavelet transform can lead to a loss of precision, in comparison to the computationally unrealistic continuous wavelet transform. To overcome this obstacle, we propose a novel method to locally scale wavelets between dyad ...

IEEE2015

A Unifying Parametric Framework for 2D Steerable Wavelet Transforms

Michaël Unser

We introduce a complete parameterization of the family of two-dimensional steerable wavelets that are polar-separable in the Fourier domain under the constraint of self-reversibility. These wavelets are constructed by multiorder generalized Riesz transform ...

Siam Publications2013

A wavelet analysis for the X-ray absorption spectra of molecules

Majed Chergui, Ursula Röthlisberger, Ivano Tavernelli, Thomas James Penfold, Amal El Nahhas, Marco Eli Reinhard

We present a Wavelet transform analysis for the X-ray absorption spectra of molecules. In contrast to the traditionally used Fourier transform approach, this analysis yields a 2D correlation plot in both R- and k-space. As a consequence, it is possible to ...

American Institute of Physics2013

Detection of Local Wall Stiffness Drop in Steel-Lined Pressure Tunnels and Shafts of Hydroelectric Power Plants Using Steep Pressure Wave Excitation and Wavelet Decomposition

Anton Schleiss, Fadi Hachem

A new monitoring approach for detecting, locating, and quantifying structurally weak reaches of steel-lined pressure tunnels and shafts is presented. These reaches arise from local deterioration of the backfill concrete and the rock mass surrounding the li ...

2012

Monitoring of steel-lined pressure shafts using water-hammer records and wavelet filtering and decomposition

Anton Schleiss, Fadi Hachem

The failure of steel liner of pressure shafts of hydropower plants can have catastrophic consequences. The partial or total loss of the liner support’s rigidity is characterized by a local change of the hydro-acoustic properties and creates reflection boun ...

2011

Optimally Localized Wavelets and Smoothing Kernels

Kunal Narayan Chaudhury

It is well-known that the Gaussian functions and, more generally, their modulations-translations (the Gabor functions) have the unique property of being optimally localized in space and frequency in the sense of Heisenberg's uncertainty principle. In this ...

EPFL2011

Multiscale analysis of high resolution digital elevation models using the wavelet transform

Michaël Kalbermatten

At the end of the nineties the emergence of high resolution (1 m) digital elevation models (DEMs) settled the context of high precision geomorphological analysis. These new elevation models permitted to reveal structures that remained heretofore undetectab ...

EPFL2010

Characteristics of a bridge condition assessment method based on state representation methodology (SRM) and damage detection sensitivity

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Wavelet-Fourier CORSING techniques for multidimensional advection-diffusion-reaction equations

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

An Adaptive Sublinear-Time Block Sparse Fourier Transform

Fast Detection and Refined Scale Estimation Using Complex Isotropic Wavelets

A Unifying Parametric Framework for 2D Steerable Wavelet Transforms

A wavelet analysis for the X-ray absorption spectra of molecules

Detection of Local Wall Stiffness Drop in Steel-Lined Pressure Tunnels and Shafts of Hydroelectric Power Plants Using Steep Pressure Wave Excitation and Wavelet Decomposition

Monitoring of steel-lined pressure shafts using water-hammer records and wavelet filtering and decomposition

Optimally Localized Wavelets and Smoothing Kernels

Multiscale analysis of high resolution digital elevation models using the wavelet transform

Multiscale analysis of high resolution digital elevation models using the wavelet transform

A Unifying Parametric Framework for 2D Steerable Wavelet Transforms

Wavelet-Fourier CORSING techniques for multidimensional advection-diffusion-reaction equations

A non-stationary stochastic ensemble generator for radar rainfall fields based on the short-space Fourier transform

A wavelet analysis for the X-ray absorption spectra of molecules

Fast Detection and Refined Scale Estimation Using Complex Isotropic Wavelets

Optimally Localized Wavelets and Smoothing Kernels

An Adaptive Sublinear-Time Block Sparse Fourier Transform

Monitoring of steel-lined pressure shafts using water-hammer records and wavelet filtering and decomposition

Detection of Local Wall Stiffness Drop in Steel-Lined Pressure Tunnels and Shafts of Hydroelectric Power Plants Using Steep Pressure Wave Excitation and Wavelet Decomposition