Publications related to Steerable Pyramids and Tight Wavelet Frames in L_2(R^d)

Computing exact Fourier series coefficients of IC rectilinear polygons from low-resolution fast Fourier coefficients

We present a novel, accurate and fast algorithm to obtain Fourier series coecients from an IC layer whose description consists of rectilinear polygons on a plane, and how to implement it using o-the-shelf hardware components. Based on properties of Fourier ...

2012

Low Complexity Spectral Analysis of Heart-Rate-Variability through a Wavelet Based FFT

Andreas Peter Burg, Georgios Karakonstantis, Aviinaash Sankaranarayanan

In this paper, a low complexity system for spectral analysis of heart rate variability (HRV) is presented. The main idea of the proposed approach is the implementation of the Fast-Lomb periodogram that is a ubiquitous tool in spectral analysis, using a wav ...

2012

A Dual-Tree Rational-Dilation Complex Wavelet Transform

Ilker Bayram

In this correspondence, we introduce a dual-tree rational-dilation complex wavelet transform for oscillatory signal processing. Like the short-time Fourier transform and the dyadic dual-tree complex wavelet transform, the introduced transform employs quadr ...

2011

Wavelets on graphs via spectral graph theory

Pierre Vandergheynst, Rémi Gribonval

We propose a novel method for constructing wavelet transforms of functions defined on the vertices of an arbitrary finite weighted graph. Our approach is based on defining scaling using the the graph analogue of the Fourier domain, namely the spectral deco ...

Elsevier2011

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

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

Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms

Michaël Unser, Kunal Narayan Chaudhury

We propose a novel method for constructing Hilbert transform (HT) pairs of wavelet bases based on a fundamental approximation-theoretic characterization of scaling functions-the B-spline factorization theorem. In particular, starting from well-localized sc ...

IEEE2009

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

Michaël Unser, Cédric René Jean Vonesch

Wavelet-domain

ℓ _{ 1 }

-regularization is a promising approach to deconvolution. The corresponding variational problem can be solved using a “thresholded Landweber” (TL) algorithm. While this iterative procedure is simple to implement, it is known to ...

IEEE2008

Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

Michaël Unser, Kunal Narayan Chaudhury

We propose a novel method of constructing exact Hilbert transform (HT) pairs of wavelet bases using fractional B-splines and state necessary and sufficient conditions for generating such wavelet pairs. In particular, we demonstrate how HT pairs of biorthog ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Construction of Hilbert Transform Pairs of Wavelet Bases and Optimal Time-Frequency Localization

Michaël Unser, Kunal Narayan Chaudhury

We propose a novel method of constructing exact Hilbert transform (HT) pairs of wavelet bases using fractional B-splines and state necessary and sufficient conditions for generating such wavelet pairs. In particular, we demonstrate how HT pairs of biorthog ...

IEEE2008

Steerable Pyramids and Tight Wavelet Frames in L_2(R^d)

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Computing exact Fourier series coefficients of IC rectilinear polygons from low-resolution fast Fourier coefficients

Low Complexity Spectral Analysis of Heart-Rate-Variability through a Wavelet Based FFT

A Dual-Tree Rational-Dilation Complex Wavelet Transform

Wavelets on graphs via spectral graph theory

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

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

Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

Construction of Hilbert Transform Pairs of Wavelet Bases and Optimal Time-Frequency Localization

Low Complexity Spectral Analysis of Heart-Rate-Variability through a Wavelet Based FFT

A Dual-Tree Rational-Dilation Complex Wavelet Transform

Wavelets on graphs via spectral graph theory

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

Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms

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

Construction of Hilbert transform pairs of wavelet bases and optimal time-frequency localization

Construction of Hilbert Transform Pairs of Wavelet Bases and Optimal Time-Frequency Localization

Computing exact Fourier series coefficients of IC rectilinear polygons from low-resolution fast Fourier coefficients

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy