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p-exponent and p-leaders, Part II: Multifractal Analysis. Relations to Detrended Fluctuation Analysis

• Roberto F. Leonarduzzi, Herwig Wendt, +4 authors María Eugenia Torres
• 2017

Multifractal analysis studies signals, functions, images or fields via the fluctuations of their local regularity along time or space,which capture crucial features of their temporal/spatial… (More)

Some proximal methods for Poisson intensity CBCT and PET

• Sandrine Anthoine, J.-F. Aujol, Yannick Boursier, Clothilde Mélot, Jean-Francois. Aujol
• 2017

Cone-Beam Computerized Tomography (CBCT) and Positron Emission Tomography (PET) are two complementary medical imaging modalities providing respectively anatomic and metabolic information of a… (More)

Some proximal methods for CBCT and PET tomography

• Sandrine Anthoine, J.-F. Aujol, Yannick Boursier, Clothilde Mélot, Jean-Francois. Aujol
• 2011

Cone-Beam Computerized Tomography (CBCT) and Positron Emission Tomography (PET) are two complementary medical imaging modalities providing respectively anatomic and metabolic information of a… (More)

Intertwining wavelets or Multiresolution analysis on graphs through random forests

• Luca Avena, Fabienne Castell, Alexandre Gaudilliere, Clothilde Mélot
• ArXiv
• 2017

We propose a new method for performing multiscale analysis of functions defined on the vertices of a finite connected weighted graph. Our approach relies on a random spanning forest to downsample the… (More)

[Not Available].

• J M Cornu, Clothilde Mélot, Sabrina Benbouzid, Laurence Peyrat, Calin Ciofu, François Haab
• Progres en urologie : journal de l'Association…
• 2014

A family of functions with two different spectra of singularities

• Claire Coiffard, Clothilde Mélot, Thomas Willer
• 2017

Our goal is to study the multifractal properties of functions of a given family which have few non vanishing wavelet coefficients. We compute at each point the pointwise Hölder exponent of these… (More)

Exponential moments of self-intersection local times of stable random walks in subcritical dimensions

• Fabienne Castell, Clément Laurent, Clothilde Mélot
• J. London Math. Society
• 2014

Let (Xt, t ≥ 0) be an α-stable random walk with values in Z. Let lt(x) = ∫ t 0 δx(Xs)ds be its local time. For p > 1, not necessarily integer, It = ∑ x l p t (x) is the so-called p-fold… (More)

Finite-Resolution Effects in $p$ -Leader Multifractal Analysis

• Roberto F. Leonarduzzi, Herwig Wendt, Patrice Abry, Stéphane Jaffard, Clothilde Mélot
• IEEE Transactions on Signal Processing
• 2017

Multifractal analysis has become a standard signal processing tool, for which a promising new formulation, the <inline-formula><tex-math notation="LaTeX">$\boldsymbol… (More)

Study of a ” sparse ” multifractal signal

• Claire Coiffard, Clothilde Mélot, Thomas Willer
• 2013

Our goal is to study the multifractal properties of functions of a given family which have few non vanishing wavelet coefficients. They are indeed somehow ”sparse” signals. We compute at each point… (More)

On the efficiency of proximal methods in CBCT and PET

• Sandrine Anthoine, Jean-François Aujol, Yannick Boursier, Clothilde Mélot
• 2011 18th IEEE International Conference on Image…
• 2011

Cone Beam Computerized Tomography (CBCT) and Positron Emission Tomography (PET) Scans are medical imaging devices that require solving ill-posed inverse problems. The models considered come directly… (More)

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