Concept

Runge's phenomenon

Related publications (72)

Mathematical and numerical analysis of a three-dimensional fluid flow model in glaciology

The main goal of this article is to analyze a three-dimensional model for stress and velocity fields in grounded glaciers and ice sheets including the role of normal deviatoric stress gradients. This model leads to a nonlinear system of stationary partial ...

2005

Rate-Distortion Optimized Tree-Structured Compression Algorithms for Piecewise Polynomial Images

Martin Vetterli, Pier Luigi Dragotti, Minh Do, Rahul Shukla

This paper presents novel coding algorithms based on tree-structured segmentation, which achieve the correct asymp- totic rate-distortion (R-D) behavior for a simple class of signals, known as piecewise polynomials, by using an R-D based prune and join sch ...

2005

Head Related Transfer Functions Interpolation Considering Acoustics

Martin Vetterli, Christof Faller, Luciano Sbaiz, Thibaut Ajdler

We are proposing an interpolation technique for head related transfer functions (HRTFs). For deriving the algorithm we study the dual problem where sound is emitted from the listener’s ear and the generated sound field is recorded along a circular array of ...

2005

Sampling and Reconstruction of Signals with Finite Rate of Innovation in the Presence of Noise

Martin Vetterli, Irena Maravic

Recently, it was shown that it is possible to develop exact sampling schemes for a large class of parametric nonban- dlimited signals, namely certain signals of finite rate of innovation. A common feature of such signals is that they have a finite number o ...

2005

Fundamental Stokes eigenmodes in the square: which expansion is more accurate, Chebyshev or Reid-Harris ?

Emmanuel Leriche

The well known Reid-Harris expansions, applied to the stream function formulation, and the Projection-Diffusion Chebyshev Stokes solver, in primitive variables, are used to compute the fundamental Stokes eigenmodes of each of the symmetry families characte ...

2005

Fundamental Stokes eigenmodes in the square: which expansion is more accurate, Chebyshev or Reid-Harris?

Emmanuel Leriche

Springer, Springer US2005

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

Wavelet and footprint sampling of signals with a finite rate of innovation

Martin Vetterli, Pier Luigi Dragotti

In this paper, we consider classes of not bandlimited signals, namely, streams of Diracs and piecewise polynomial signals, and show that these signals can be sampled and perfectly reconstructed using wavelets as sampling kernel. Due to the multiresolution ...

2004

Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology

Jacques Rappaz

The main goal of this article is to establish a priori and a posteriori error estimates for the numerical approximation of some non linear elliptic problems arising in glaciology. The stationary motion of a glacier is given by a non-Newtonian fluid flow mo ...

2003

Wavelet Footprints: Theory, Algorithms and Applications

Martin Vetterli, Pier Luigi Dragotti

In recent years, wavelet-based algorithms have been successful in different signal processing tasks. The wavelet trans- form is a powerful tool because it manages to represent both tran- sient and stationary behaviors of a signal with few transform coeffi- ...

2003

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