Publications related to On the Shiftability of Dual-Tree Complex Wavelet Transforms

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage

The monogenic signal is the natural 2-D counterpart of the 1-D analytic signal. We propose to transpose the concept to the wavelet domain by considering a complexified version of the Riesz transform which has the remarkable property of mapping a real-value ...

Institute of Electrical and Electronics Engineers2009

The Fractional Hilbert Transform and Dual-Tree Gabor-Like Wavelet Analysis

Michaël Unser, Kunal Narayan Chaudhury

We provide an amplitude-phase representation of the dual-tree complex wavelet transform by extending the fixed quadrature relationship of the dual-tree wavelets to arbitrary phase-shifts using the fractional Hilbert transform (fHT). The fHT is a generaliza ...

IEEE2009

The Fractional Hilbert Transform And Dual-Tree Gabor-Like Wavelet Analysis

Michaël Unser, Kunal Narayan Chaudhury

We provide an amplitude-phase representation of the dual-tree complex wavelet transform by extending the fixed quadrature relationship of the dual-tree wavelets to arbitrary phase-shifts using the fractional Hilbert transform. (fHT). The fHT is a generaliz ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

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

Towards a femtosecond laser micro-machined optofluidic device for distinguishing algae species

Yves Bellouard

We demonstrate a small device with a microfluidic channel and an integrated waveguide that functions a compact rudimentary tool for the detection, real-time monitoring, and potentially classification of algae. In order to reduce parasitic noise the micro-d ...

2009

The empirical mode decomposition: a must-have tool in speckle interferometry?

Pierre Jacquot, Sébastien Equis

In a wider and wider range of research and engineering activities, there is a growing interest for full-field techniques, featuring nanometric sensitivities, and able to be addressed to dynamic behaviors characterization. Speckle interferometry (SI) techni ...

Optical Society of America2009

The Monogenic Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Katarina Balac

We introduce a family of real and complex wavelet bases of

L _{ 2 }

(\mathbb{R} ^{ 2 }

) that are directly linked to the Laplace and Riesz operators. The crucial point is that the family is closed with respect to the Riesz transform which maps a re ...

EURASIP2008

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 converge ...

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

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Dimitri Nestor Alice Van De Ville

We present multiresolution spaces of complex rotation-covariant functions, deployed on the 2-D hexagonal lattice. The designed wavelets, which are complex-valued, provide an important phase information for image analysis, which is missing in the discrete w ...

SPIE2007

Construction of wavelet bases that mimic the behaviour of some given operator - art. no. 67010S

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu, Ildar Khalidov

Probably, the most important property of wavelets for signal processing is their multiscale derivative-like behavior when applied to functions. In order to extend the class of problems that can profit of wavelet-based techniques, we propose to build new fa ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2007

On the Shiftability of Dual-Tree Complex Wavelet Transforms

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Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

The Fractional Hilbert Transform and Dual-Tree Gabor-Like Wavelet Analysis

The Fractional Hilbert Transform And Dual-Tree Gabor-Like Wavelet Analysis

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

Towards a femtosecond laser micro-machined optofluidic device for distinguishing algae species

The empirical mode decomposition: a must-have tool in speckle interferometry?

The Monogenic Riesz-Laplace Wavelet Transform

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Construction of wavelet bases that mimic the behaviour of some given operator - art. no. 67010S

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

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

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Towards a femtosecond laser micro-machined optofluidic device for distinguishing algae species

The Fractional Hilbert Transform And Dual-Tree Gabor-Like Wavelet Analysis

The empirical mode decomposition: a must-have tool in speckle interferometry?

The Monogenic Riesz-Laplace Wavelet Transform

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Construction of wavelet bases that mimic the behaviour of some given operator - art. no. 67010S

The Fractional Hilbert Transform and Dual-Tree Gabor-Like Wavelet Analysis