Publications related to Polyharmonic Smoothing Splines and the Multidimensional Wiener Filtering of Fractal-Like Signals

Fourier Analysis of Functional Time Series, with Applications to DNA Dynamics

This work is about time series of functional data (functional time series), and consists of three main parts. In the first part (Chapter 2), we develop a doubly spectral decomposition for functional time series that generalizes the Karhunen–Loève expansion ...

EPFL2014

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

On the Linearity of Bayesian Interpolators for Non-Gaussian Continuous-Time AR(1) Processes

Michaël Unser, Philippe Thévenaz, Arash Amini, John Paul Ward

Bayesian estimation problems involving Gaussian distributions often result in linear estimation techniques. Nevertheless, there are no general statements as to whether the linearity of the Bayesian estimator is restricted to the Gaussian case. The two comm ...

Ieee-Inst Electrical Electronics Engineers Inc2013

MMSE Estimation of Sparse Levy Processes

Michaël Unser, Arash Amini, Ulugbek Kamilov, Pedram Pad

We investigate a stochastic signal-processing framework for signals with sparse derivatives, where the samples of a Levy process are corrupted by noise. The proposed signal model covers the well-known Brownian motion and piecewise-constant Poisson process; ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Iterative deconvolution of quadrupole split NMR spectra

Frédéric Mila

We propose a simple method to deconvolute NMR spectra of quadrupolar nuclei in order to separate the distribution of local magnetic hyperfine field from the quadrupole splitting. It is based on an iterative procedure which allows to express the intensity o ...

2013

Exact Acceleration of Linear Object Detectors

François Fleuret, Charles Dubout

We describe a general and exact method to considerably speed up linear object detection systems operating in a sliding, multi-scale window fashion, such as the individual part detectors of part-based models. The main bottleneck of many of those systems is ...

2012

Applications of short space-time Fourier analysis in digital acoustics

Martin Vetterli, Francisco Pereira Correia Pinto

This paper presents a signal processing tool for analyzing and manipulating digitized acoustic wave fields, based on a spatio-temporal extension of the time-frequency representation space. The emphasis is on wave fields acquired with a 1-D linear array of ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

3D Steerable Wavelets And Monogenic Analysis For Bioimaging

Michaël Unser

In this paper we introduce a 3D wavelet frame that has the key property of steerability. The proposed wavelet frame relies on the combination of a 3D isotropic wavelet transform with the 3D Riesz operator which brings steerability to the pyramid. The novel ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

3D Steerable Wavelets and Monogenic Analysis for Bioimaging

Michaël Unser

In this paper we introduce a 3D wavelet frame that has the key property of steerability. The proposed wavelet frame relies on the combination of a 3D isotropic wavelet transform with the 3D Riesz operator which brings steerability to the pyramid. The novel ...

IEEE2011

A Minimum Energy solution to Monocular Simultaneous Localization and Mapping

Andrea Alessandretti, António Pedro Rodrigues de Aguiar

In this paper we propose an alternative solution to the Monocular Simultaneous Localization and Mapping (SLAM) problem. This approach uses a Minimum-Energy Observer for Systems with Perspective Outputs and provides an optimal solution. Contrarily to the mo ...

IEEE2011

Polyharmonic Smoothing Splines and the Multidimensional Wiener Filtering of Fractal-Like Signals

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Fourier Analysis of Functional Time Series, with Applications to DNA Dynamics

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

On the Linearity of Bayesian Interpolators for Non-Gaussian Continuous-Time AR(1) Processes

MMSE Estimation of Sparse Levy Processes

Iterative deconvolution of quadrupole split NMR spectra

Exact Acceleration of Linear Object Detectors

Applications of short space-time Fourier analysis in digital acoustics

3D Steerable Wavelets And Monogenic Analysis For Bioimaging

3D Steerable Wavelets and Monogenic Analysis for Bioimaging

A Minimum Energy solution to Monocular Simultaneous Localization and Mapping

3D Steerable Wavelets And Monogenic Analysis For Bioimaging

Fourier Analysis of Functional Time Series, with Applications to DNA Dynamics

On the Linearity of Bayesian Interpolators for Non-Gaussian Continuous-Time AR(1) Processes

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

MMSE Estimation of Sparse Levy Processes

Exact Acceleration of Linear Object Detectors

3D Steerable Wavelets and Monogenic Analysis for Bioimaging

Applications of short space-time Fourier analysis in digital acoustics

Iterative deconvolution of quadrupole split NMR spectra

A Minimum Energy solution to Monocular Simultaneous Localization and Mapping