Concept

Step function

Publications associées (41)

Inversion de Fourier ponctuelle

Let f be an integrable function on RN, a a point in RN and B a complex number. If the mean value of f on the sphere of centre a and radius r tends to B when r tends to 0, we show that the Fourier integral at a of f is summable to B in Cesàro means of order ...

EPFL2007

A unified stabilized method for Stokes' and Darcy's equations

Erik Burman

We use the lowest possible approximation order, piecewise linear, continuous velocities and piecewise constant pressures to compute solutions to Stokes equation and Darcy's equation, applying an edge stabilization term to avoid locking. We prove that the f ...

2007

Plasticity of Spinal Cord Reflexes After a Complete Transection in Adult Rats: Relationship to Stepping Ability

Grégoire Courtine

Changes in epidurally induced (S1) spinal cord reflexes were studied as a function of the level of restoration of stepping ability after spinal cord transection (ST). Three types of responses were observed. The early response (ER) had a latency of 2.5 to 3 ...

2006

A unified analysis for conforming and nonconforming stabilized finite element methods using interior penalty

Erik Burman

We discuss stabilized Galerkin approximations in a new framework, widening the scope from the usual dichotomy of the discontinuous Galerkin method on the one hand and Petrov--Galerkin methods such as the SUPG method on the other. The idea is to use interio ...

2005

Hex-Splines: A Novel Spline Family for Hexagonal Lattices

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

This paper proposes a new family of bivariate, non-separable splines, called hex-splines, especially designed for hexagonal lattices. The starting point of the construction is the indicator function of the Voronoi cell, which is used to define in a natural ...

IEEE2004

Discretization of the radon transform and of its inverse by spline convolutions

Michaël Unser, Michael Stefan Daniel Liebling, Stefan Horbelt

We present an explicit formula for B-spline convolution kernels; these are defined as the convolution of several B-splines of variable widths hi and degrees ni. We apply our results to derive spline-convolution-based algorithms for two closely related prob ...

IEEE2002

Dynamic scheduling of a flexible machine. Restless bandit formulation

Max-Olivier Hongler, Fabrice Dusonchet

We explore the scheduling rules and the hedging levels that can be obtained by using a restless bandit problem formulation of a make-to-stock production. The underlying dynamics are a Markov chain in continuous time and the associated rewards are piecewise ...

Editions Hermes2002

Ordonnancement dynamique d'une machine flexible Formulation en processus de Bandits-manchots

Max-Olivier Hongler, Fabrice Dusonchet

We explore the scheduling rules and the hedging levels that can be obtained by using a Restless Bandit Problem formulation of a make-to-stock production. The underlying dynamics are markov chain in continuous lime and the associate reward are piecewise lin ...

2002

Spline Kernels for Continuous-Space Image Processing

Michaël Unser, Thierry Blu

We present an explicit formula for spline kernels; these are defined as the convolution of several B-splines of variable widths h and degrees n. The spline kernels are useful for continuous signal processing algorithms that involve B-spline inner-products ...

IEEE2000

Symplectic finite element scheme: Application to a driven problem with a regular singularity

A new finite element (FE) scheme, based on the decomposition of a second order differential equation into a set of first order symplectic (Hamiltonian) equations, is presented and tested on a one-dimensional, driven Sturm-Liouville problem. Error analysis ...

1996

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