Publications related to Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

An Inverse-Filter-Based Method to Locate Partial Discharge Sources in Power Transformers

Partial discharge (PD) occurrence in power transformers can lead to irreparable damage to the power network. In this paper, the inverse filter (IF) method to localize PDs in power transformers is proposed. To the best of the authors’ knowledge, this is the ...

2022

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

Fabio Nobile, Simone Brugiapaglia

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

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

Ayaho Miyamoto

The State Representation Methodology (SRM) combined with the Frequency Slice Wavelet Transform (FSWT), which is a new time-frequency analysis tool, is proposed for assessing the condition of bridges on the basis of bridge monitoring data. First, this paper ...

Springer2019

A Physical Model of Nonstationary Blur in Ultrasound Imaging

Jean-Philippe Thiran, Yves Wiaux, Paul Hurley, Dimitris Perdios, Matthieu Martin Jean-André Simeoni, Marcel Arditi, Adrien Besson

While restoration methods have been extensively studied in ultrasound (US) imaging, only few recent works have focused on modeling and understanding the blur from a physical point of view even in simple configurations, such as lossless homogeneous media. D ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

Sampling Continuous-time Sparse Signals: A Frequency-domain Perspective

Martin Vetterli, Benjamin Bejar Haro

We address the problem of sampling and reconstruction of sparse signals with finite rate of innovation. We derive general conditions under which perfect reconstruction is possible for sampling kernels satisfying Strang-Fix conditions. Previous results on t ...

2018

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

3D-Printed Beam Splitter for Polar Neutral Molecules

Andreas Osterwalder, Sean Dennis Steven Gordon

We describe a macroscopic beam splitter for polar neutral molecules. A complex electrode structure is required for the beam splitter which would be very difficult to produce with traditional manufacturing methods. Instead, we make use of a nascent manufact ...

Amer Physical Soc2017

A General Framework for Compressed Sensing and Parallel MRI Using Annihilating Filter Based Low-Rank Hankel Matrix

Kyong Hwan Jin

Parallel MRI (pMRI) and compressed sensing MRI (CS-MRI) have been considered as two distinct reconstruction problems. Inspired by recent k-space interpolation methods, an annihilating filter-based low-rank Hankel matrix approach is proposed as a general fr ...

IEEE2016

Optimized Kaiser-Bessel Window Functions for Computed Tomography

Michaël Unser, Cédric René Jean Vonesch, John Paul Ward, Masih Nilchian

Kaiser-Bessel window functions are frequently used to discretize tomographic problems because they have two desirable properties: 1) their short support leads to a low computational cost and 2) their rotational symmetry makes their imaging transform indepe ...

Ieee-Inst Electrical Electronics Engineers Inc2015

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

Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

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An Inverse-Filter-Based Method to Locate Partial Discharge Sources in Power Transformers

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

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

A Physical Model of Nonstationary Blur in Ultrasound Imaging

Sampling Continuous-time Sparse Signals: A Frequency-domain Perspective

An Adaptive Sublinear-Time Block Sparse Fourier Transform

3D-Printed Beam Splitter for Polar Neutral Molecules

A General Framework for Compressed Sensing and Parallel MRI Using Annihilating Filter Based Low-Rank Hankel Matrix

Optimized Kaiser-Bessel Window Functions for Computed Tomography

A Unifying Parametric Framework for 2D Steerable Wavelet Transforms

3D-Printed Beam Splitter for Polar Neutral Molecules

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

A Physical Model of Nonstationary Blur in Ultrasound Imaging

Optimized Kaiser-Bessel Window Functions for Computed Tomography

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

A General Framework for Compressed Sensing and Parallel MRI Using Annihilating Filter Based Low-Rank Hankel Matrix

Sampling Continuous-time Sparse Signals: A Frequency-domain Perspective

An Adaptive Sublinear-Time Block Sparse Fourier Transform

An Inverse-Filter-Based Method to Locate Partial Discharge Sources in Power Transformers

A Unifying Parametric Framework for 2D Steerable Wavelet Transforms