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MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

Publications associées (78)

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Improved wireless location accuracy using antenna arrays and interference cancellation

Ali H. Sayed

Location finding for CDMA subscribers using an antenna array at the base station is studied. Two methods are considered for radio location that are based on time of arrival (TOA) and angle of arrival (AOA) measurements. For TOA estimates, a maximum likelih ...

2003

Nondyadic and nonlinear multiresolution image approximations

Maria Arrate Munoz Barrutia

This thesis focuses on the development of novel multiresolution image approximations. Specifically, we present two kinds of generalization of multiresolution techniques: image reduction for arbitrary scales, and nonlinear approximations using other metrics ...

EPFL2002

Texture Mapping by Successive Refinement

Michaël Unser, Philippe Thévenaz

We define texture mapping as an optimization problem for which the goal of preserving the maximum amount of information in the mapped texture. We derive a solution that is optimal in the least-squares sense and that corresponds to the pseudo-inverse of a ...

IEEE2000

Texture mapping by successive refinement

Michaël Unser, Philippe Thévenaz, Stefan Horbelt

2000

Non-Uniform to Uniform Grid Conversion Using Least-Squares Splines

Michaël Unser, Thierry Blu

We propose a new technique to perform nonuniform to uniform grid conversion: first, interpolate using nonuniform splines, then project the resulting function onto a uniform spline space and finally, resample. We derive a closed form solution to the least-s ...

EURASIP2000

On the geometry of a modern imaging diffractometer

Gervais Chapuis

The geometry of a modern imaging diffractometer is discussed in detail. A method to find all relevant instrument parameters from the control single-crystal measurement data is proposed and the limitations of such a procedure are indicated. Optimization of ...

1999

Animated heads from ordinary images: a least-squares approach

Pascal Fua

We show that we can effectively fit arbitrarily complex animation models to noisy data extracted from ordinary face images. Our approach is based on least-squares adjustment, using of a set of progressively finer control triangulations and takes advantage ...

Elsevier1999

An Efficient Mutual Information Optimizer for Multiresolution Image Registration

Michaël Unser, Philippe Thévenaz

We propose a new optimizer in the context of multimodal image registration. The optimized criterion is the mutual in formation between the images to align. This criterion requires that their joint histogram be available. For its computation, we introduce d ...

IEEE1998

From regular images to animated heads: a least squares approach

Pascal Fua

We show that we can effectively fit arbitrarily complex animation models to noisy image data. Our approach is based on least-squares adjustment using of a set of progressively finer control triangulations and takes advantage of three complementary sources ...

1998

Minimum Support Interpolators with Optimum Approximation Properties

Michaël Unser, Philippe Thévenaz, Thierry Blu

We investigate the functions of given approximation order L that have the smallest support. Those are shown to be linear combinations of the B-spline of degree L-1 and its L-1 first derivatives. We then show how to find the functions that minimize the asym ...

IEEE1998