Publications related to Polynomials

Non-parametric Blur Map Regression for Depth of Field Extension

Real camera systems have a limited depth of field (DOF) which may cause an image to be degraded due to visible misfocus or too shallow DOF. In this paper, we present a blind deblurring pipeline able to restore such images by slightly extending their DOF an ...

Institute of Electrical and Electronics Engineers2016

Simplified Modal Expansion to Analyze Frequency-Selective Surfaces: An Equivalent Circuit Approach

Juan Ramon Mosig, Maria Garcia Vigueras

This communication extends a previously reported analytical circuit that models the plane wave scattering by 2-D arrays of planar patches/apertures embedded in a layered media. In this extension, it is assumed that the current/electric field spatial profil ...

Ieee-Inst Electrical Electronics Engineers Inc2016

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

Exact diagonalization of HeisenbergSU(N)chains in the fully symmetric and antisymmetric representations

Frédéric Mila, Pierre Marcel Nataf

Motivated by recent experimental progress in the context of ultracold multicolor fermionic atoms in optical lattices, we have developed a method to exactly diagonalize the Heisenberg SU(N) Hamiltonian with several particles per site living in a fully symme ...

2016

Considerations for Rank-based Cryptosystems

Anna-Lena Horlemann, Joachim Rosenthal

Cryptosystems based on rank metric codes have been considered as an alternative to McEliece cryptosystems due to the relative difficulty of solving the rank syndrome decoding problem. Generic attacks have recently seen several improvements, notably in the ...

Ieee2016

Formal Verification of Integer Multipliers by Combining Gröbner Basis with Logic Reduction

Mathias Soeken

Formal verification utilizing symbolic computer algebra has demonstrated the ability to formally verify large Galois field arithmetic circuits and basic architectures of integer arithmetic circuits. The technique models the circuit as Gröbner basis polynom ...

IEEE2016

The Interface Control Domain Decomposition Method For Stokes-Darcy Coupling

Alfio Quarteroni, Marco Discacciati

The interface control domain decomposition (ICDD) method of Discacciati, Gervasio, and Quarteroni [SIAM J. Control Optim., 51 (2013), pp. 3434-3458, doi:10.1137/120890764; J. Coupled Syst. Multiscale Dyn., 1 (2013), pp. 372-392, doi:10.1166/jcsmd.2013.1026 ...

Siam Publications2016

FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics

Alfio Quarteroni, Simone Deparis, Davide Forti, Gwenol Grandperrin

Modeling Fluid-Structure Interaction (FSI) in the vascular system is mandatory to reliably compute mechanical indicators in vessels undergoing large deformations. In order to cope with the computational complexity of the coupled 3D FSI problem after discre ...

Academic Press Inc Elsevier Science2016

Probing Entangled States of the Nuclear-Electronic Quantum Magnet LiHoF₄

Ivan Kovacevic

Two objects are entangled when their quantum mechanical wavefunctions cannot be written in a separable product form. Entangling dissimilar quantum objects, or hybridization, has been suggested as a promising route to efficient quantum information processor ...

EPFL2016

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

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Non-parametric Blur Map Regression for Depth of Field Extension

Simplified Modal Expansion to Analyze Frequency-Selective Surfaces: An Equivalent Circuit Approach

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Exact diagonalization of HeisenbergSU(N)chains in the fully symmetric and antisymmetric representations

Considerations for Rank-based Cryptosystems

Formal Verification of Integer Multipliers by Combining Gröbner Basis with Logic Reduction

The Interface Control Domain Decomposition Method For Stokes-Darcy Coupling

FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics

Probing Entangled States of the Nuclear-Electronic Quantum Magnet LiHoF₄

Spectral Methods for Hyperbolic Problems

Exact diagonalization of HeisenbergSU(N)chains in the fully symmetric and antisymmetric representations

Considerations for Rank-based Cryptosystems

FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics

Simplified Modal Expansion to Analyze Frequency-Selective Surfaces: An Equivalent Circuit Approach

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Non-parametric Blur Map Regression for Depth of Field Extension

The Interface Control Domain Decomposition Method For Stokes-Darcy Coupling

Formal Verification of Integer Multipliers by Combining Gröbner Basis with Logic Reduction

Spectral Methods for Hyperbolic Problems

Probing Entangled States of the Nuclear-Electronic Quantum Magnet LiHoF₄