Publications related to Quantitative $ L ^{ 2 } $ Error Analysis for Interpolation Methods and Wavelet Expansions

Sampling strategies and post-processing methods for increasing the time resolution of organic aerosol measurements requiring long sample-collection times

The composition and properties of atmospheric organic aerosols (OAs) change on timescales of minutes to hours. However, some important OA characterization techniques typically require greater than a few hours of sample-collection time (e.g., Fourier transf ...

Copernicus GmbH2016

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function u in multivariate polynomial spaces

P_\Lambda := span\{y \mapsto y^\nu | \nu \in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma := [-1,1]^d

, based on the sa ...

MATHICSE2015

Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs

Andrea Manzoni, Federico Negri

In this paper we present some heuristic strategies to compute rapid and reliable approximations to stability factors in nonlinear, inf-sup stable parametrized PDEs. The efficient evaluation of these quantities is crucial for the rapid construction of a pos ...

Springer Verlag2015

Threshold Saturation in Spatially Coupled Constraint Satisfaction Problems

Rüdiger Urbanke, Nicolas Macris, Seyed Hamed Hassani

We consider chains of random constraint satisfaction models that are spatially coupled across a finite window along the chain direction. We investigate their phase diagram at zero temperature using the survey propagation formalism and the interpolation met ...

Springer Verlag2013

Erosion of soils due to rainfall impact – An interpolation method

David Andrew Barry, Marc Parlange, Alessandro Brovelli, Seifeddine Jomaa

An approximate analytical solution of the Hairsine-Rose model of erosion is obtained by interpolation of asymptotic expressions for large times and great distances. The solution, when erosion is initiated by rainfall impact, is both simple and accurate. Th ...

Wiley-Blackwell2012

GPU Prefilter for Accurate Cubic B-spline Interpolation

Philippe Thévenaz

Achieving accurate interpolation is an important requirement for many signal-processing applications. While nearest-neighbor and linear interpolation methods are popular due to their native GPU support, they unfortunately result in severe undesirable artif ...

Oxford University Press2012

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Gonçalo Pena

In this thesis we address the numerical approximation of the incompressible Navier-Stokes equations evolving in a moving domain with the spectral element method and high order time integrators. First, we present the spectral element method and the basic to ...

EPFL2009

Nonparametric Least Squares Regression for Image Reconstruction on the Sphere

Pascal Frossard, Ivana Tosic, Tamara Tosic

This paper addresses the problem of interpolating signals defined on a 2-d sphere from non-uniform samples. We present an interpolation method based on locally weighted linear and nonlinear regression, which takes into account the differences in importance ...

2009

From Lagrange to Shannon...and Back: Another Look at Sampling

Martin Vetterli, Paolo Prandoni

Classical digital signal processing (DSP) lore tells us the tale of a continuous-time primeval signal, of its brutal sampling, and of the magic sinc interpolation that, under the aegis of bandlimitedness, brings the original signal back to (continuous) lif ...

2009

Sound Field Analysis Along a Circle and its Application to HRTF Interpolation

Martin Vetterli, Christof Faller, Luciano Sbaiz, Thibaut Ajdler

The sampling and interpolation of a sound field in two and three dimensions along a circle is discussed. The Fourier domain representation of the sound field is used, and an angular sampling theorem is developed for the sampling of the sound field along a ...

2008

Quantitative $ L ^{ 2 } $ Error Analysis for Interpolation Methods and Wavelet Expansions

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Sampling strategies and post-processing methods for increasing the time resolution of organic aerosol measurements requiring long sample-collection times

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs

Threshold Saturation in Spatially Coupled Constraint Satisfaction Problems

Erosion of soils due to rainfall impact – An interpolation method

GPU Prefilter for Accurate Cubic B-spline Interpolation

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Nonparametric Least Squares Regression for Image Reconstruction on the Sphere

From Lagrange to Shannon...and Back: Another Look at Sampling

Sound Field Analysis Along a Circle and its Application to HRTF Interpolation

Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs

From Lagrange to Shannon...and Back: Another Look at Sampling

Sampling strategies and post-processing methods for increasing the time resolution of organic aerosol measurements requiring long sample-collection times

Erosion of soils due to rainfall impact – An interpolation method

GPU Prefilter for Accurate Cubic B-spline Interpolation

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Threshold Saturation in Spatially Coupled Constraint Satisfaction Problems

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

Nonparametric Least Squares Regression for Image Reconstruction on the Sphere

Sound Field Analysis Along a Circle and its Application to HRTF Interpolation