Publications related to Phase estimation in digital holographic interferometry using cubic phase function based method

Polynomial Escape-Time From Saddle Points In Distributed Non-Convex Optimization

The diffusion strategy for distributed learning from streaming data employs local stochastic gradient updates along with exchange of iterates over neighborhoods. In this work we establish that agents cluster around a network centroid in the mean-fourth sen ...

IEEE2019

Distributed Signal Processing via Chebyshev Polynomial Approximation

Pascal Frossard, Pierre Vandergheynst, Daniel Kressner, David Shuman

Unions of graph multiplier operators are an important class of linear operators for processing signals defined on graphs. We present a novel method to efficiently distribute the application of these operators. The proposed method features approximations of ...

2018

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Jan Sickmann Hesthaven, Boris Bonev

We present a novel high-order discontinuous Galerkin discretization for the spherical shallow water equations, able to handle wetting/drying and non-conforming, curved meshes in a well-balanced manner. This requires a well-balanced discretization, that can ...

2018

Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth

Michaël Unser, John Paul Ward, Quy Ha Nguyen

The Poisson summation formula (PSF) describes the equivalence between the sampling of an analog signal and the periodization of its frequency spectrum. In engineering textbooks, the PSF is usually stated formally without explicit conditions on the signal f ...

2017

MATHICSE Technical Report : Analysis of the internodes method for non-conforming discretizations of elliptic equations

Alfio Quarteroni

INTERNODES is a general method to deal with non-conforming discretizations of second order partial differential equations on regions partitioned into two or several subdomains. It exploits two intergrid interpolation operators, one for transfering the Diri ...

MATHICSE2016

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

Rishikesh Dilip Kulkarni

Analysis of fringe patterns for the accurate estimation of phase and phase derivatives is of crucial importance in optical interferometry as these quantities provide important information on the physical parameters under study. A wide range of applications ...

EPFL2016

Methods of approximation influence aquatic ecosystem metabolism estimates

Janine Rüegg

Aquatic ecologists have recently employed dynamic models to estimate aquatic ecosystem metabolism. All approaches involve numerically solving a differential equation describing dissolved oxygen (DO) dynamics. Although the DO differential equation can be so ...

Association for the Sciences of Limnology and Oceanography2016

INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

Alfio Quarteroni, Simone Deparis, Davide Forti

We are interested in the approximation of partial differential equations on domains decomposed into two (or several) subdomains featuring non-conforming interfaces. The non-conformity may be due to different meshes and/or different polynomial degrees used ...

Elsevier2016

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Martin Vetterli, Arash Amini, Mitra Fatemi

We present a sampling theory for a class of binary images with finite rate of innovation (FRI). Every image in our model is the restriction of

\mathds{1}_{\{p\leq0\}}

to the image plane, where

\mathds{1}

denotes the indicator function and

p

is some r ...

2016

Spectral Methods for Hyperbolic Problems

Jan Sickmann Hesthaven

We review spectral methods for the solution of hyperbolic problems. To keep the discussion concise, we focus on Fourier spectral methods and address key issues of accuracy, stability, and convergence of the numerical approximations. Polynomial methods are ...

Elsevier Publishing2016

Phase estimation in digital holographic interferometry using cubic phase function based method

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Polynomial Escape-Time From Saddle Points In Distributed Non-Convex Optimization

Distributed Signal Processing via Chebyshev Polynomial Approximation

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth

MATHICSE Technical Report : Analysis of the internodes method for non-conforming discretizations of elliptic equations

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

Methods of approximation influence aquatic ecosystem metabolism estimates

INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Spectral Methods for Hyperbolic Problems

MATHICSE Technical Report : Analysis of the internodes method for non-conforming discretizations of elliptic equations

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Polynomial Escape-Time From Saddle Points In Distributed Non-Convex Optimization

Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth

Distributed Signal Processing via Chebyshev Polynomial Approximation

Methods of approximation influence aquatic ecosystem metabolism estimates

Spectral Methods for Hyperbolic Problems

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces

Sampling and Reconstruction of Shapes with Algebraic Boundaries