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

Wavelet analysis of the Besov regularity of Levy white noise

Julien René Pierre Fageot, Shayan Aziznejad

We characterize the local smoothness and the asymptotic growth rate of the Levy white noise. We do so by characterizing the weighted Besov spaces in which it is located. We extend known results in two ways. First, we obtain new bounds for the local smoothn ...

2020

Maximally Localized Radial Profiles for Tight Steerable Wavelet Frames

Michaël Unser, Virginie Sophie Uhlmann, Pedram Pad

A crucial component of steerable wavelets is the radial profile of the generating function in the frequency domain. In this paper, we present an infinite-dimensional optimization scheme that helps us find the optimal profile for a given criterion over the ...

IEEE2016

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

Optofluidic lab-on-a-chip for rapid algae population screening

Yves Bellouard

The rapid identification of algae species is not only of practical importance when monitoring unwanted adverse effects such as eutrophication, but also when assessing the water quality of watersheds. Here, we demonstrate a lab-on-a-chip that functions as a ...

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

On the Shiftability of Dual-Tree Complex Wavelet Transforms

Michaël Unser, Kunal Narayan Chaudhury

The dual-tree complex wavelet transform (DT-ℂWT) is known to exhibit better shift-invariance than the conventional discrete wavelet transform. We propose an amplitude-phase representation of the DT-ℂWT which, among other things, offers a direct explanation ...

IEEE2010

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

Gabor Wavelet Analysis and the Fractional Hilbert Transform

Michaël Unser, Kunal Narayan Chaudhury

We propose an amplitude-phase representation of the dual-tree complex wavelet transform (DT-ℂWT) which provides an intuitive interpretation of the associated complex wavelet coefficients. The representation, in particular, is based on the shifting action o ...

SPIE2009

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Jan Skaloud, Adrian Wägli, Heidi Fournier

The main objective of this research is in automating the initialization phase of the MEMS-IMZ/GPS data integration. The motivation for this study is the special case where the before mentioned sensors are worn on a body (e.g. of an athlete) and where the u ...

2009

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

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

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Wavelet analysis of the Besov regularity of Levy white noise

Maximally Localized Radial Profiles for Tight Steerable Wavelet Frames

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

Optofluidic lab-on-a-chip for rapid algae population screening

Optimally Localized Wavelets and Smoothing Kernels

On the Shiftability of Dual-Tree Complex Wavelet Transforms

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Gabor Wavelet Analysis and the Fractional Hilbert Transform

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

The Monogenic Riesz-Laplace Wavelet Transform

Wavelet analysis of the Besov regularity of Levy white noise

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

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Optofluidic lab-on-a-chip for rapid algae population screening

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Maximally Localized Radial Profiles for Tight Steerable Wavelet Frames

On the Shiftability of Dual-Tree Complex Wavelet Transforms

Gabor Wavelet Analysis and the Fractional Hilbert Transform

The Monogenic Riesz-Laplace Wavelet Transform

Optimally Localized Wavelets and Smoothing Kernels