Publications related to Cubic field

Digital Phase Reconstruction via Iterative Solutions of Transport-of-Intensity Equation

Michaël Unser, Emrah Bostan, Stamatios Lefkimmiatis, Emmanuel Augustin Julien Froustey

We develop a variational algorithm for reconstructing phase objects from a series of bright field micrographs. Our mathematical model is based on the transport-of-intensity equation (TIE), which links the phase of a complex field to the axial derivative of ...

Ieee2014

Digital Phase Reconstruction via Iterative Solutions of Transport-of-Intensity Equation

Michaël Unser, Emrah Bostan, Stamatios Lefkimmiatis, Emmanuel Augustin Julien Froustey

We develop a variational algorithm for reconstructing phase objects from a series of bright field micrographs. Our mathematical model is based on the transport-of-intensity equation (TIE), which links the phase of a complex field to the axial derivative of ...

IEEE2014

Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

Eva Bayer Fluckiger, Piotr Aleksander Maciak

The aim of this paper is to give upper bounds for the Euclidean minima of abelian fields of odd prime power conductor. In particular, these bounds imply Minkowski's conjecture for totally real number fields of conductor p(r), where p is an odd prime number ...

Springer Verlag2013

Influence of numerical schemes on statistical properties of computed charged particle trajectories in turbulent electromagnetic fields

A class of numerical schemes is developed for the study of charged particle transport in complex stationary electromagnetic fields and tested for fields obtained from a numerical solution of the magneto-hydrodynamic equation. The performances of these sche ...

Elsevier2013

Hybrid Bounds For Automorphic Forms On Ellipsoids Over Number Fields

Philippe Michel

We prove upper bounds for Hecke-Laplace eigenfunctions on certain Riemannian manifolds X of arithmetic type, uniformly in the eigenvalue and the volume of the manifold. The manifolds under consideration are d-fold products of 2-spheres or 3-spheres, realiz ...

Cambridge Univ Press2013

Accelerated autofocusing of off-axis holograms using critical sampling

Christian Depeursinge, Muhammed Fatih Toy, Jérôme Parent, Marcel Egli, Stéphane Richard

In this Letter we propose a fast off-axis hologram autofocusing (AF) approach that is based on the redundant data elimination by the critical resampling of the contained complex field. Implementation of the proposed methodology enables the real-time AF wit ...

Optical Society of America2012

Online BCI with Stable Sources

José del Rocio Millán Ruiz, Ricardo Andres Chavarriaga Lozano, Mohit Kumar Goel

In this paper, we show that the estimated intra-cranial sources using source localization on EEG signals can be used for online Brain Computer Interation (BCI) and the discriminant sources remain stable over days. Classifiers are trained on discriminant so ...

2012

Resolution and Complex Deconvolution in Holographic Microscopy

Yann Jérôme Michel Pascal Cotte

Interest in high resolution imaging techniques has recently multiplied due to their importance in bio-medical research. Quantitative phase measurements by holographic microscopy is an extraordinary tool to gain new understanding of transparent biological s ...

EPFL2012

Equidistribution of Heegner points and ternary quadratic forms

Dimitar Petkov Jetchev

We prove new equidistribution results for Galois orbits of Heegner points with respect to single reduction maps at inert primes. The arguments are based on two different techniques: primitive representations of integers by quadratic forms and distribution ...

Springer Verlag2011

Realistic 3D coherent transfer function inverse filtering of complex fields

Christian Depeursinge, Daniel Boss, Muhammed Fatih Toy, Yann Jérôme Michel Pascal Cotte, Cristian Arfire, Shanshan Kou

We present a novel technique for three-dimensional (3D) image processing of complex fields. It consists in inverting the coherent image formation by filtering the complex spectrum with a realistic 3D coherent transfer function (CTF) of a high-NA digital ho ...

Optical Society of America2011

Cubic field

Digital Phase Reconstruction via Iterative Solutions of Transport-of-Intensity Equation

Digital Phase Reconstruction via Iterative Solutions of Transport-of-Intensity Equation

Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

Influence of numerical schemes on statistical properties of computed charged particle trajectories in turbulent electromagnetic fields

Hybrid Bounds For Automorphic Forms On Ellipsoids Over Number Fields

Accelerated autofocusing of off-axis holograms using critical sampling

Online BCI with Stable Sources

Resolution and Complex Deconvolution in Holographic Microscopy

Equidistribution of Heegner points and ternary quadratic forms

Realistic 3D coherent transfer function inverse filtering of complex fields

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Digital Phase Reconstruction via Iterative Solutions of Transport-of-Intensity Equation

Resolution and Complex Deconvolution in Holographic Microscopy

Influence of numerical schemes on statistical properties of computed charged particle trajectories in turbulent electromagnetic fields

Digital Phase Reconstruction via Iterative Solutions of Transport-of-Intensity Equation

Hybrid Bounds For Automorphic Forms On Ellipsoids Over Number Fields

Online BCI with Stable Sources

Accelerated autofocusing of off-axis holograms using critical sampling

Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

Equidistribution of Heegner points and ternary quadratic forms

Realistic 3D coherent transfer function inverse filtering of complex fields