Concept

Trigonometric interpolation

Publications associées (115)

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Geometrical reconstruction of curves and surfaces using NURBS

Sylvain Rouge

The aim of this project is the analysis of different approaches for curve and surface reconstruction and the development of a related MATLAB library. We initially study the Lagrange polynomial interpolation, then the Bezier, the B-splines and the NURBS cur ...

2008

Short Basis Functions for Constant-Variance Interpolation

Michaël Unser, Philippe Thévenaz, Thierry Blu

An interpolation model is a necessary ingredient of intensity-based registration methods. The properties of such a model depend entirely on its basis function, which has been traditionally characterized by features such as its order of approximation and it ...

SPIE2008

Sound Field Analysis Along a Circle and its Application to HRTF Interpolation

Martin Vetterli, Christof Faller, Luciano Sbaiz, Thibaut Ajdler

The sampling and interpolation of a sound field in two and three dimensions along a circle is discussed. The Fourier domain representation of the sound field is used, and an angular sampling theorem is developed for the sampling of the sound field along a ...

2008

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 ...

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Regularized Interpolation for Noisy Data

Michaël Unser, Philippe Thévenaz, Sathish Ramani

IEEE2007

Spatio-temporal human pose detection

Miodrag Dimitrijevic

This thesis proposes a Chamfer-based method for human body pose detection that combines silhouette matching, motion information, and statistical relevance estimates in an original way. We demonstrate that our method can not only detect people but also reco ...

EPFL2007

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

On Interpolation and Resampling of Discrete Data

Pouya Dehghani Tafti

This letter introduces a new representation of discrete signals based on the mathematical notions of functionals and continuous dual spaces. A new and more general sampling theorem is also suggested. Next, the problems of interpolating and resampling discr ...

IEEE2006

Nonideal Sampling and Interpolation from Noisy Observations in Shift-Invariant Spaces

Michaël Unser

Digital analysis and processing of signals inherently relies on the existence of methods for reconstructing a continuous-time signal from a sequence of corrupted discrete-time samples. In this paper, a general formulation of this problem is developed that ...

IEEE2006