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- Alain Arneodo, Benjamin Audit, Pierre Kestener, Stéphane Roux
- Scholarpedia
- 2008

We apply the 2D wavelet transform (WTMM) method to perform a multifractal analysis of digitized mammograms. We show that normal regions display monofractal scaling properties as characterized by the socalled Hurst exponent H 0 3 0 1 in fatty areas which look like antipersistent self-similar random surfaces, while H 0 65 0 1 in dense areas which exibit… (More)

- Pierre Kestener, Alain Arneodo
- Physical review letters
- 2003

We generalize the wavelet transform modulus maxima (WTMM) method to multifractal analysis of 3D random fields. This method is calibrated on synthetic 3D monofractal fractional Brownian fields and on 3D multifractal singular cascade measures as well as their random function counterpart obtained by fractional integration. Then we apply the 3D WTMM method to… (More)

- Kendra A. Batchelder, Aaron B. Tanenbaum, +4 authors Andre Khalil
- PloS one
- 2014

The 2D Wavelet-Transform Modulus Maxima (WTMM) method was used to detect microcalcifications (MC) in human breast tissue seen in mammograms and to characterize the fractal geometry of benign and malignant MC clusters. This was done in the context of a preliminary analysis of a small dataset, via a novel way to partition the wavelet-transform space-scale… (More)

- François Nadal, Françoise Argoul, Pierre Kestener, Bernard Pouligny, Christophe Ybert, Armand Ajdari
- The European physical journal. E, Soft matter
- 2002

We report a theoretical and experimental study of the hydrodynamic flow induced by an a.c. electric field in the vicinity of a dielectric stripe deposited on a conducting plate. In the theoretical part, we model the stripe as a small change of the surface capacitance of the plate, and a perturbative approach is used to perform the calculations. This… (More)

- Pierre Kestener, Alain Arneodo
- Physical review letters
- 2004

We use singular value decomposition techniques to generalize the wavelet transform modulus maxima method to the multifractal analysis of vector-valued random fields. The method is calibrated on synthetic multifractal 2D vector measures and monofractal 3D fractional Brownian vector fields. We report the results of some application to the velocity and… (More)

- Shebli Anvar, Olivier Gachelin, Pierre Kestener, Herve Le Provost, Irakli Mandjavidze
- 2006

In this paper, we describe our experience in designing real-time hardware/software systems for data acquisition and analysis applications in particle physics, which are based on a system-on-chip (SoC) approach. Modern field-programmable gate array (FPGA) devices with embedded reduced instruction set computing (RISC) processor cores, high-speed low voltage… (More)

- Pierre Kestener
- 2003

- Pierre Kestener, Paul Conlon, +4 authors Alain Arneodo
- 2010

The multifractal nature of solar photospheric magnetic structures are studied using the 2D wavelet transform modulus maxima (WTMM) method. This relies on computing partition functions from the wavelet transform skeleton defined by the WTMM method. This skeleton provides an adaptive spacescale partition of the fractal distribution under study, from which one… (More)

- Florence Drui, Alexandru Fikl, +4 authors Marc Massot
- ArXiv
- 2017

Many physical problems involve spatial and temporal inhomogeneities that require a very fine discretization in order to be accurately simulated. Using an adaptive mesh, a high level of resolution is used in the appropriate areas while keeping a coarse mesh elsewhere. This idea allows to save time and computations, but represents a challenge for… (More)