Publications related to Interpolating point spread function anisotropy

Statistical Optimality of Hermite Splines

Michaël Unser, Julien René Pierre Fageot, Virginie Sophie Uhlmann, Harshit Gupta

Hermite splines are commonly used for interpolating data when samples of the derivative are available, in a scheme called Hermite interpolation. Assuming a suitable statistical model, we demonstrate that this method is actually optimal for reconstructing r ...

IEEE2015

Ellipse-Preserving Hermite Interpolation and Subdivision

Michaël Unser

We introduce a family of piecewise-exponential functions that have the Hermite interpolation property. Our design is motivated by the search for an effective scheme for the joint interpolation of points and associated tangents on a curve with the ability t ...

Elsevier2015

Interior Tomography Using 1D Generalized Total Variation. Part I: Mathematical Foundation

Michaël Unser, John Paul Ward

Motivated by the interior tomography problem, we propose a method for exact reconstruction of a region of interest of a function from its local Radon transform in any number of dimensions. Our aim is to verify the feasibility of a one-dimensional reconstru ...

Siam Publications2015

Pattern-oriented memory interpolation of sparse historical rainfall records

Anton Schleiss, José Pedro Gamito de Saldanha Calado Matos, Théodora Cohen Liechti

The pattern-oriented memory (POM) is a novel historical rainfall interpolation method that explicitly takes into account the time dimension in order to interpolate areal rainfall maps. The method is based on the idea that rainfall patterns exist and can be ...

Elsevier2014

VENUS-LEVIS and its spline-Fourier interpolation of 3D toroidal magnetic field representation for guiding-centre and full-orbit simulations of charged energetic particles

Jonathan Graves, Wilfred Anthony Cooper, David Pfefferlé, Cyril Misev

Curvilinear guiding-centre drift and full-orbit equations of motion are presented as implemented in the code{VENUS-LEVIS} code. A dedicated interpolation scheme based on Fourier reconstruction in the toroidal and poloidal direction and cubic spline in the ...

Elsevier2014

Planck 2013 results. VII. HFI time response and beams

Julien Lesgourgues, Fabio Finelli

This paper characterizes the effective beams, the effective beam window functions and the associated errors for the Planck High Frequency Instrument (HFI) detectors. The effective beam is the angular response including the effect of the optics, detectors, ...

Edp Sciences S A2014

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Michaël Unser, Virginie Sophie Uhlmann

Cardinal Hermite exponential spline functions are a generalization of the classical cardinal Hermite polynomial splines. In this work we consider the 4-dimensional space

ε _{ 4 }

= {1, x,

e ^{ \alpha x }

,

e ^{ -\alpha x }

} with α ∈ $ ℝ ^{ + } ...

SMAI-SIGMA2014

Linear Interpolation Of Biomedical Images Using A Data-Adaptive Kernel

Michaël Unser, John Paul Ward, Aurélien Bourquard, Hagay Kirshner

In this work, we propose a continuous-domain stochastic model that can be applied to image data. This model is autoregressive, and accounts for Gaussian-type as well as for non-Gaussian-type innovations. In order to estimate the corresponding parameters fr ...

IEEE2013

Mapping extreme snowfalls in the French Alps using max-stable processes

Johan Alexandre Philippe Gaume

The evaluation of extreme snowfalls is an important challenge for hazard management in mountainous regions. In this paper, the extreme snowfall data acquired from 40 meteorological stations in the French Alps since 1966 are analyzed using spatial extreme s ...

2013

Nonparametric Least Squares Regression for Image Reconstruction on the Sphere

Pascal Frossard, Ivana Tosic, Tamara Tosic

This paper addresses the problem of interpolating signals defined on a 2-d sphere from non-uniform samples. We present an interpolation method based on locally weighted linear and nonlinear regression, which takes into account the differences in importance ...

2009

Interpolating point spread function anisotropy

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Statistical Optimality of Hermite Splines

Ellipse-Preserving Hermite Interpolation and Subdivision

Interior Tomography Using 1D Generalized Total Variation. Part I: Mathematical Foundation

Pattern-oriented memory interpolation of sparse historical rainfall records

VENUS-LEVIS and its spline-Fourier interpolation of 3D toroidal magnetic field representation for guiding-centre and full-orbit simulations of charged energetic particles

Planck 2013 results. VII. HFI time response and beams

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Linear Interpolation Of Biomedical Images Using A Data-Adaptive Kernel

Mapping extreme snowfalls in the French Alps using max-stable processes

Nonparametric Least Squares Regression for Image Reconstruction on the Sphere

Statistical Optimality of Hermite Splines

Interior Tomography Using 1D Generalized Total Variation. Part I: Mathematical Foundation

Ellipse-Preserving Hermite Interpolation and Subdivision

Pattern-oriented memory interpolation of sparse historical rainfall records

VENUS-LEVIS and its spline-Fourier interpolation of 3D toroidal magnetic field representation for guiding-centre and full-orbit simulations of charged energetic particles

Planck 2013 results. VII. HFI time response and beams

Mapping extreme snowfalls in the French Alps using max-stable processes

Nonparametric Least Squares Regression for Image Reconstruction on the Sphere

Linear Interpolation Of Biomedical Images Using A Data-Adaptive Kernel

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours