Publications by Thierry Blu | EPFL Graph Search

Multiframe SURE-LET denoising of timelapse fluorescence microscopy images

Michaël Unser, Saskia Joëlle Delpretti Anex, Thierry Blu, Florian Luisier, Sathish Ramani

Due to the random nature of photon emission and the various internal noise sources of the detectors, real timelapse fluorescence microscopy images are usually modeled as the sum of a Poisson process plus some Gaussian white noise. In this paper, we propose ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Blind optimization of algorithm parameters for signal denoising by Monte-Carlo sure

Michaël Unser, Thierry Blu, Sathish Ramani

We consider the problem of optimizing the parameters of an arbitrary denoising algorithm by minimizing Stein's Unbiased Risk Estimate (SURE) which provides a means of assessing the true mean-squared-error (MSE) purely from the measured data assuming that i ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Blind Optimization of Algorithm Parameters for Signal Denoising by Monte-Carlo SURE

Michaël Unser, Thierry Blu, Sathish Ramani

We consider the problem of optimizing the parameters of an arbitrary denoising algorithm by minimizing Stein's Unbiased Risk Estimate (SURE) which provides a means of assessing the true mean-squared-error (MSE) purely from the measured data assuming that i ...

IEEE2008

Nonideal Sampling and Regularization Theory

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

Shannon's sampling theory and its variants provide effective solutions to the problem of reconstructing a signal from its samples in some “shift-invariant” space, which may or may not be bandlimited. In this paper, we present some further justification for ...

IEEE2008

SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding

Thierry Blu, Florian Luisier

We propose a vector/matrix extension of our denoising algorithm initially developed for grayscale images, in order to efficiently process multichannel (e.g., color) images. This work follows our recently published SURE-LET approach where the denoising algo ...

Institute of Electrical and Electronics Engineers2008

Shift-Invariant Spaces from Rotation-Covariant Functions

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

We consider shift-invariant multiresolution spaces generated by rotation-covariant functions ρ in

\mathbb{R}^{ 2 }

. To construct corresponding scaling and wavelet functions, ρ has to be localized with an appropriate multiplier, such that the localized ...

Elsevier2008

Fast Computation of Polyharmonic B-Spline Autocorrelation Filters

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

A fast computational method is given for the Fourier transform of the polyharmonic B-spline autocorrelation sequence in d dimensions. The approximation error is exponentially decaying with the number of terms taken into account. The algorithm improves spee ...

Institute of Electrical and Electronics Engineers2008

EEG source localization by multi-planar analytic sensing

Dimitri Nestor Alice Van De Ville, Thierry Blu, Clotaire Michel, Djano Kandaswamy

Source localization from EEG surface measurements is an important problem in neuro-imaging. We propose a new mathematical framework to estimate the parameters of a multidipole source model. To that aim, we perform 2-D analytic sensing in multiple planes. T ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

SURE-LET multichannel image denoising: Undecimated wavelet thresholding

Thierry Blu, Florian Luisier

We propose an extension of the recently devised SURE-LET grayscale denoising approach for multichannel images. Assuming additive Gaussian white noise, the unknown linear parameters of a transform-domain pointwise multichannel thresholding are globally opti ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Short basis functions for constant-variance interpolation - art. no. 69142L

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 ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2008

Thierry Blu

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Multiframe SURE-LET denoising of timelapse fluorescence microscopy images

Blind optimization of algorithm parameters for signal denoising by Monte-Carlo sure

Blind Optimization of Algorithm Parameters for Signal Denoising by Monte-Carlo SURE

Nonideal Sampling and Regularization Theory

SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding

Shift-Invariant Spaces from Rotation-Covariant Functions

Fast Computation of Polyharmonic B-Spline Autocorrelation Filters

EEG source localization by multi-planar analytic sensing

SURE-LET multichannel image denoising: Undecimated wavelet thresholding

Short basis functions for constant-variance interpolation - art. no. 69142L

Blind optimization of algorithm parameters for signal denoising by Monte-Carlo sure

Blind Optimization of Algorithm Parameters for Signal Denoising by Monte-Carlo SURE

Fast Computation of Polyharmonic B-Spline Autocorrelation Filters

Nonideal Sampling and Regularization Theory

Multiframe SURE-LET denoising of timelapse fluorescence microscopy images

SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding

EEG source localization by multi-planar analytic sensing

Shift-Invariant Spaces from Rotation-Covariant Functions

SURE-LET multichannel image denoising: Undecimated wavelet thresholding

Short basis functions for constant-variance interpolation - art. no. 69142L