Publications related to Classical orthogonal polynomials

Linearization techniques for band structure calculations in absorbing photonic crystals

Daniel Kressner, Peter Cedric Effenberger

Band structure calculations for photonic crystals require the numerical solution of eigenvalue problems. In this paper, we consider crystals composed of lossy materials with frequency-dependent permittivities. Often, these frequency dependencies are modele ...

2011

Orthogonality of Two-Dimensional Separations Based on Conditional Entropy

Hubert Girault, Mohammad Reza Pourhaghighi, Mohammad Karzand

A new approach to assess the orthogonality of two-dimensional (2-D) separation systems based on conditional entropy is developed. It considers the quantitative distribution of peaks in the entire separation space such that the orthogonality obtained is ind ...

American Chemical Society2011

Spectral analysis and experimental study of lateral capillary dynamics for flip-chip applications

Massimo Mastrangeli

This article presents a study on the dynamics of lateral motion of a liquid meniscus confined by a pad and a chip moving parallel to the pad. This problem is a typical flip-chip case study, whose use is widespread in industrial assembly. The proposed model ...

2010

Liquid phase sintering of two roughened ice crystals in sucrose solution: A comparison to theory and simulation

Aitor Luque Gomez

We construct an approximate analytic expression for the growth of the neck between two sintering roughened crystals in contact with a melt. The result combines recent work on early phase sintering [R.S. Farr, M.J. Izzard, Phys. Rev. E 77 (2008) 041608], an ...

Elsevier2009

Coding along Hermite polynomials for interference channels

Emmanuel Abbé

This paper analyzes the use of non-Gaussian input distributions over the Gaussian interference channel. It has been recently proved that the iid Gaussian code ensemble together with a decoder that treats interference as noise is sum-capacity achieving, if ...

2009

$ H _{ 2 } $ O: Reversible Hexagonal-Orthogonal Grid Conversion by 1-D Filtering

Dimitri Nestor Alice Van De Ville

In this work, we propose a new grid conversion algorithm between the hexagonal lattice and the orthogonal (a.k.a. Cartesian) lattice. The conversion process, named

H _{ 2 }

O, is easy to implement and is perfectly reversible using the same algorithm to ...

IEEE2007

An Orthogonal Family of Quincunx Wavelets with Continuously Adjustable Order

Michaël Unser, Dimitri Nestor Alice Van De Ville

We present a new family of two-dimensional and three-dimensional orthogonal wavelets which uses quincunx sampling. The orthogonal refinement filters have a simple analytical expression in the Fourier domain as a function of the order λ, which may be nonint ...

IEEE2005

Fractional Splines, Wavelet Bases, and Applications

Michaël Unser

The purpose of this presentation is to describe a recent family of basis functions—the fractional B-splines—which appear to be intimately connected to fractional calculus. Among other properties, we show that they are the convolution kernels that link the ...

ENSEIRB2004

Fresnelets—A New Wavelet Basis for Digital Holography

Michaël Unser, Thierry Blu

We present a new class of wavelet bases—Fresnelets—which is obtained by applying the Fresnel transform operator to a wavelet basis of

L _{ 2 }

. The thus constructed wavelet family exhibits properties that are particularly useful for analyzing and proc ...

SPIE2001

Stable spectral methods on tetrahedral elements

Jan Sickmann Hesthaven

A framework for the construction of stable spectral methods on arbitrary domains with unstructured grids is presented. Although most of the developments are of a general nature, an emphasis is placed on schemes for the solution of partial differential equa ...

SIAM PUBLICATIONS2000

Classical orthogonal polynomials

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Linearization techniques for band structure calculations in absorbing photonic crystals

Orthogonality of Two-Dimensional Separations Based on Conditional Entropy

Spectral analysis and experimental study of lateral capillary dynamics for flip-chip applications

Liquid phase sintering of two roughened ice crystals in sucrose solution: A comparison to theory and simulation

Coding along Hermite polynomials for interference channels

$ H _{ 2 } $ O: Reversible Hexagonal-Orthogonal Grid Conversion by 1-D Filtering

An Orthogonal Family of Quincunx Wavelets with Continuously Adjustable Order

Fractional Splines, Wavelet Bases, and Applications

Fresnelets—A New Wavelet Basis for Digital Holography

Stable spectral methods on tetrahedral elements

Fractional Splines, Wavelet Bases, and Applications

Liquid phase sintering of two roughened ice crystals in sucrose solution: A comparison to theory and simulation

Stable spectral methods on tetrahedral elements

Coding along Hermite polynomials for interference channels

$ H _{ 2 } $ O: Reversible Hexagonal-Orthogonal Grid Conversion by 1-D Filtering

An Orthogonal Family of Quincunx Wavelets with Continuously Adjustable Order

Fresnelets—A New Wavelet Basis for Digital Holography

Linearization techniques for band structure calculations in absorbing photonic crystals

Spectral analysis and experimental study of lateral capillary dynamics for flip-chip applications

Orthogonality of Two-Dimensional Separations Based on Conditional Entropy