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Entropy stable essentially non-oscillatory methods based on RBF reconstructions

Related publications (58)

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A multiscale approximation scheme for explicit model predictive control with stability, feasibility, and performance guarantees

Colin Neil Jones, John Lygeros

In this paper, an algorithm is introduced based on classical wavelet multiresolution analysis that returns a low complexity explicit model predictive control law built on a hierarchy of second order interpolating wavelets. It is proven that the resulting i ...

IEEE2009

Modeling two-phase flows on moving domains

Matthias Preisig

Mudflows are catastrophic events that cause immense damage to infrastructure and life every year. Local authorities have been trying to mitigate the risk by zoning regulations as well as by building protection structures for many years. These measures have ...

EPFL2008

Regularized interpolation for noisy data

Michaël Unser, Philippe Thévenaz, Sathish Ramani

Interpolation is a vital tool in biomedical signal processing. Although there exists a substantial literature dedicated to noise-free conditions, much less is known in the presence of noise. Here, we document the breakdown of standard interpolation for noi ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2007

Regularized Interpolation for Noisy Data

Michaël Unser, Philippe Thévenaz, Sathish Ramani

IEEE2007

A Light Formulation of the E* Interpolated Path Replanner

Roland Philippsen

The E* algorithm is a path planning method capable of dynamic replanning and user-configurable path cost interpolation, it results in more appropriate paths during gradient descent. The underlying formulation is based on interpreting navigation functions a ...

2006

An Interpolated Dynamic Navigation Function

Roland Siegwart, Roland Philippsen

The E-star algorithm is a path planning method capable of dynamic replanning and user-configurable path cost interpolation. It calculates a navigation function as a sampling of an underlying smooth goal distance that takes into account a continuous notion ...

2005

Linear Interpolation Revitalized

Michaël Unser, Philippe Thévenaz, Thierry Blu

We present a simple, original method to improve piecewise-linear interpolation with uniform knots: we shift the sampling knots by a fixed amount, while enforcing the interpolation property. We determine the theoretical optimal shift that maximizes the qual ...

IEEE2004

Interpolation of Signals by Generalized Piecewise-Linear Multiple Generators

Michaël Unser, Thierry Blu

This paper presents an interpolation method based on shifted versions of two piecewise linear generators, which provides approximation order 2 like usual piecewise-linear interpolation; i.e., this method is able to represent the constant and the ramp exact ...

IEEE2003

Interpolation method and apparatus

Michaël Unser, Philippe Thévenaz, Thierry Blu

Method of interpolating digital samples (fN, fn) using interpolation functions ( psi , psi (x-x0)) that are shifted by an arbitrary shift value (x0) relative to said samples (fN, fn). It will be shown that there is a non-zero and non-trivial optimal value ...

2003

Acoustic Based Rendering by Interpolation of the Plenacoustic Function

Martin Vetterli, Thibaut Ajdler

We study the spatialization of the sound field in a room, in particular the evolution of room impulse responses as function of their spatial positions. The presented technique allows us to completely characterize the sound field in any arbitrary location i ...

2003