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We study generalized random fields which arise as rescaling limits of spatial configurations of uniformly scattered random balls as the mean radius of the balls tends to 0 or infinity. Assuming that the radius distribution has a power law behavior, we prove that the centered and re-normalized random balls field admits a limit with spatial dependence andâ€¦ (More)

- Rachid Jennane, Rachid Harba, GÃ©rald Lemineur, StÃ©phanie Bretteil, Anne Estrade, Claude Laurent Benhamou
- Medical Image Analysis
- 2007

It has been shown that the analysis of two dimensional (2D) bone X-ray images based on the fractional Brownian motion (fBm) model is a good indicator for quantifying alterations in the three dimensional (3D) bone micro-architecture. However, this 2D measurement is not a direct assessment of the 3D bone properties. In this paper, we first show that S(3D),â€¦ (More)

We study a randomfield obtained by counting the number of balls containing a given point when overlapping balls are thrown at random according to a Poisson random measure. We describe a microscopic process which exhibits multifractional behavior. We are particularly interested in the local asymptotic self-similarity (LASS) properties of the field, as wellâ€¦ (More)

We consider Poisson random balls in R, with the pair (center, radius) given by a Poisson point process in RdÃ—(0,+âˆž). According to the intensity measure of the Poisson process, we investigate the eventuality of covering the whole space with the union of the balls. We exhibit a disjunction phenomenon between the coverage with large balls (low frequency) andâ€¦ (More)

The modelling of random bi-phasic, or porous, media has been, and still is, under active investigation by mathematicians, physicists or physicians. In this paper we consider a thresholded random process X as a source of the two phases. The intervals when X is in a given phase, named chords, are the subject of interest. We focus on the study of the tails ofâ€¦ (More)

The fractional Poisson field (fPf) is constructed by considering the number of balls falling down on each point of R, when the centers and the radii of the balls are thrown at random following a Poisson point process in R Ã—R with an appropriate intensity measure. It provides a simple description for a non Gaussian random field that is centered, hasâ€¦ (More)

- Bruno Galerne, Sylvain Lefebvre, +11 authors SaÃ¯d Ladjal
- 2011

This chapter explores the mathematical and algorithmic properties of two sample-based texture models: random phase noise (RPN) and asymptotic discrete spot noise (ADSN). These models permit to synthesize random phase textures. They arguably derive from linearized versions of two early Julesz texture discrimination theories. The ensuing mathematical analysisâ€¦ (More)

- GÃ©rald Lemineur, Rachid Harba, Rachid Jennane, Anne Estrade, Liora Benhamou
- First International Symposium on Controlâ€¦
- 2004

This communication presents a method to estimate the fractal anisotropy. This method consists in estimating the H(/spl theta/) parameter of an anisotropic fractional Brownian field depending on the direction /spl theta/. We have tested this method on synthetic isotropic and anisotropic images. Results are of good quality. Then, it was applied to boneâ€¦ (More)

- Zach Meisel, Stephen L. George, +28 authors R. G. T. Zegers
- Physical review letters
- 2015

We present results from recent time-of-flight nuclear mass measurements at the National Superconducting Cyclotron Laboratory at Michigan State University. We report the first mass measurements of ^{48}Ar and ^{49}Ar and find atomic mass excesses of -22.28(31)â€‰â€‰MeV and -17.8(1.1)â€‰â€‰MeV, respectively. These masses provide strong evidence for the closed shellâ€¦ (More)

- P. T. Hosmer, Helmut Schatz, +19 authors Andreas Woehr
- Physical review letters
- 2005

Nuclei with magic numbers serve as important benchmarks in nuclear theory. In addition, neutron-rich nuclei play an important role in the astrophysical rapid neutron-capture process (r process). 78Ni is the only doubly magic nucleus that is also an important waiting point in the r process, and serves as a major bottleneck in the synthesis of heavierâ€¦ (More)