Publication

Time Resolved Fluorescence Diffuse Optical Tomography Using Multi-Resolution Exponential B-Splines

Michaël Unser, Chandra Sekhar Seelamantula
2009
Conference Papers

Résumé

This paper deals with the problem of time-resolved fluorescence diffuse optical tomography. We propose a new reconstruction scheme based on a multi-resolution approximation of the time-resolved signals. The underlying basis functions are exponential B-splines that are matched to the decay of fluorescence signals. We illustrate the applicability of the method on phantom data.

Source officielle

https://infoscience.epfl.ch/entities/publication/94018629-3a73-4072-93f9-fc35cfa95204

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Michaël Unser, Chandra Sekhar Seelamantula
2009
Conference Papers

Résumé

Source officielle

https://infoscience.epfl.ch/entities/publication/94018629-3a73-4072-93f9-fc35cfa95204

À propos de ce résultat

Concepts associés (9)

Multirésolution

A multiresolution analysis (MRA) or multiscale approximation (MSA) is the design method of most of the practically relevant discrete wavelet transforms (DWT) and the justification for the algorithm of the fast wavelet transform (FWT). It was introduced in this context in 1988/89 by Stephane Mallat and Yves Meyer and has predecessors in the microlocal analysis in the theory of differential equations (the ironing method) and the s of as introduced in 1981/83 by Peter J. Burt, Edward H. Adelson and James L.

Ondelette

thumb|Ondelette de Daubechies d'ordre 2. Une ondelette est une fonction à la base de la décomposition en ondelettes, décomposition similaire à la transformée de Fourier à court terme, utilisée dans le traitement du signal. Elle correspond à l'idée intuitive d'une fonction correspondant à une petite oscillation, d'où son nom. Cependant, elle comporte deux différences majeures avec la transformée de Fourier à court terme : elle peut mettre en œuvre une base différente, non forcément sinusoïdale ; il existe une relation entre la largeur de l'enveloppe et la fréquence des oscillations : on effectue ainsi une homothétie de l'ondelette, et non seulement de l'oscillation.

Discrete wavelet transform

In numerical analysis and functional analysis, a discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled. As with other wavelet transforms, a key advantage it has over Fourier transforms is temporal resolution: it captures both frequency and location information (location in time). Haar wavelet The first DWT was invented by Hungarian mathematician Alfréd Haar. For an input represented by a list of numbers, the Haar wavelet transform may be considered to pair up input values, storing the difference and passing the sum.

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On the 2D Post-Processing of Brillouin Optical Time-Domain Analysis

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The benefits and limitations inherent to the 2D post-processing of measurements from Brillouin optical time-domain analyzers are investigated from a fundamental point of view. In a preliminary step, the impact of curve fitting on the precision of the estim ...

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A Universal Sampling Method for Reconstructing Signals with Simple Fourier Transforms

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Reconstructing continuous signals based on a small number of discrete samples is a fundamental problem across science and engineering. We are often interested in signals with "simple" Fourier structure - e.g., those involving frequencies within a bounded r ...

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