Home

Person

Michaël Unser

About
Privacy
Disclaimer

Graph Chatbot

Related publications (516)

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Michael Stefan Daniel Liebling, Michaël Unser, Theo Lasser

The combination of wavelength multiplexing and spectral interferometry allows for the encoding of multidimensional information and its transmission over a mono-dimensional channel; for example, measurements of a surface's topography acquired through a mono ...

SPIE2005

Beyond Interpolation: Optimal Reconstruction by Quasi-Interpolation

Michaël Unser, Thierry Blu

ICIP'05 Best Student Paper Award We investigate the use of quasi-interpolating approximation schemes, to construct an estimate of an unknown function from its given discrete samples. We show theoretically and with practical experiments that such methods pe ...

IEEE2005

Spline-Based Image-to-Volume Registration for Three-Dimensional Electron Microscopy

Philippe Thévenaz, Michaël Unser

This paper presents an algorithm based on a continuous framework for a posteriori angular and translational assignment in three-dimensional electron microscopy (3DEM) of single particles. Our algorithm can be used advantageously to refine the assignment of ...

Elsevier2005

Generalized L-Spline Wavelet Bases

Michaël Unser, Thierry Blu, Ildar Khalidov

We build wavelet-like functions based on a parametrized family of pseudo-differential operators

L _{ v }

that satisfy some admissibility and scalability conditions. The shifts of the generalized B-splines, which are localized versions of the Green func ...

SPIE2005

Spectral Signal-to-Noise Ratio and Resolution Assessment of 3D Reconstructions

Philippe Thévenaz, Michaël Unser

Measuring the quality of three-dimensional (3D) reconstructed biological macromolecules by transmission electron microscopy is still an open problem. In this article, we extend the applicability of the spectral signal-to-noise ratio (SSNR) to the evaluatio ...

Elsevier2005

Cardinal Exponential Splines: Part I—Theory and Filtering Algorithms

Michaël Unser, Thierry Blu

Causal exponentials play a fundamental role in classical system theory. Starting from those elementary building blocks, we propose a complete and self-contained signal processing formulation of exponential splines defined on a uniform grid. We specify the ...

IEEE2005

Elastic Registration of Biological Images Using Vector-Spline Regularization

Philippe Thévenaz, Michaël Unser

We present an elastic registration algorithm for the alignment of biological images. Our method combines and extends some of the best techniques available in the context of medical imaging. We express the deformation field as a B-spline model, which allows ...

IEEE2005

On the Multidimensional Extension of the Quincunx Subsampling Matrix

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

The dilation matrix associated with the three-dimensional (3-D) face-centered cubic (FCC) sublattice is often considered to be the natural 3-D extension of the two-dimensional (2-D) quincunx dilation matrix. However, we demonstrate that both dilation matri ...

IEEE Institute of Electrical and Electronics Engineers2005

Sampling in Practice: Is the Best Reconstruction Space Bandlimited?

Michaël Unser, Dimitri Nestor Alice Van De Ville, 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 ...

IEEE2005

A Maximum-Likelihood Formalism for Sub-Resolution Axial Localization of Fluorescent Nanoparticles

Michaël Unser, François Aguet, Dimitri Nestor Alice Van De Ville

One of the ongoing challenges in single particle fluorescence microscopy resides in estimating the axial position of particles with sub-resolution precision. Due to the complexity of the diffraction patterns generated by such particles, the standard fittin ...

OSA2005

Generalized Biorthogonal Daubechies Wavelets

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We propose a generalization of the Cohen-Daubechies-Feauveau (CDF) and 9⁄7 biorthogonal wavelet families. This is done within the framework of non-stationary multiresolution analysis, which involves a sequence of embedded approximation spaces generated by ...

SPIE2005

IP-LAB: A Tool to Teach Image Processing Programming in Java—Challenge in Swiss Federal Institute of Technology Lausanne

Michaël Unser, Daniel Sage

Image processing is getting more and more important because of the widespread use of digital imaging devices, such as digital cameras or digital videos. While image processing is a very practical discipline, it is perceived as being rather theoretical. It ...

JSEE2005

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

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

The approximate behavior of wavelets as differential operators is often considered as one of their most fundamental properties. In this paper, we investigate how we can further improve on the wavelet's behavior as differentiator. In particular, we propose ...

SPIE2005

An Extension of Oblique Projection Sampling Theorem

Michaël Unser

In this paper, we discuss the sampling problem without a condition that was assumed in conventional sampling theorems. This means that we cannot perfectly reconstruct all functions in the reconstruction space. The perfect reconstruction is possible only fo ...

SampTA2005

Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

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

In this paper, we use polyharmonic B-splines to build multidimensional wavelet bases. These functions are nonseparable, multidimensional basis functions that are localized versions of radial basis functions. We show that Rabut's elementary polyharmonic B-s ...

IEEE2005

Description statistique de textures : application à l'inspection automatique

Michaël Unser

EPFL1984

Page 26 of 26