Exact recovery of the support of piecewise constant images via total variation regularization

This work is concerned with the recovery of piecewise constant images from noisy linear measurements. We study the noise robustness of a variational reconstruction method, which is based on total (gradient) variation regularization. We show that, if the unknown image is the superposition of a few simple shapes, and if a non-degenerate source condition holds, then, in the low noise regime, the reconstructed images have the same structure: they are the superposition of the same number of shapes, each a smooth deformation of one of the unknown shapes. Moreover, the reconstructed shapes and the associated intensities converge to the unknown ones as the noise goes to zero

Towards Off-the-grid Algorithms for Total Variation Regularized Inverse Problems

We introduce an algorithm to solve linear inverse problems regularized with the total (gradient) variation in a gridless manner. Contrary to most existing methods, that produce an approximate solution which is piecewise constant on a fixed mesh, our approach exploits the structure of the solutions and consists in iteratively constructing a linear combination of indicator functions of simple polygons.Comment: For the short conference version see arXiv:2104.06706v2. For the long journal version see arXiv:2104.06706v

Classification of ice crystal shapes in midlatitude ice clouds from three years of lidar observations over the SIRTA observatory

This paper presents a study of ice crystal shapes in midlatitude ice clouds inferred from a technique based on the comparison of ray-tracing simulations with lidar depolarization ratio measured at 532 nm. This technique is applied to three years of lidar depolarization ratio observations from the SIRTA (Site Instrumental de Recherche par Télédétection Atmosphérique) observatory in Palaiseau, France, amounting to 322 different days of ice cloud observations. Particles in clouds are classified in three major groups : plates, columns, and irregular shapes with aspect ratios close to unity. Retrieved shapes are correlated with radiosounding observations from a close-by meteorological station: temperature, relative humidity, wind speed and direction

Control of the Evolution of Iron Peroxide Intermediate in Superoxide Reductase from Desulfoarculus baarsii. Involvement of Lysine 48 in Protonation

International audienceSuperoxide reductase is a nonheme iron metalloenzyme that detoxifies superoxide anion radicals O(2)(•-) in some microorganisms. Its catalytic mechanism was previously proposed to involve a single ferric iron (hydro)peroxo intermediate, which is protonated to form the reaction product H(2)O(2). Here, we show by pulse radiolysis that the mutation of the well-conserved lysine 48 into isoleucine in the SOR from Desulfoarculus baarsii dramatically affects its reaction with O(2)(•-). Although the first reaction intermediate and its decay are not affected by the mutation, H(2)O(2) is no longer the reaction product. In addition, in contrast to the wild-type SOR, the lysine mutant catalyzes a two-electron oxidation of an olefin into epoxide in the presence of H(2)O(2), suggesting the formation of iron-oxo intermediate species in this mutant. In agreement with the recent X-ray structures of the peroxide intermediates trapped in a SOR crystal, these data support the involvement of lysine 48 in the specific protonation of the proximal oxygen of the peroxide intermediate to generate H(2)O(2), thus avoiding formation of iron-oxo species, as is observed in cytochrome P450. In addition, we proposed that the first reaction intermediate observed by pulse radiolysis is a ferrous-iron superoxo species, in agreement with TD-DFT calculations of the absorption spectrum of this intermediate. A new reaction scheme for the catalytical mechanism of SOR with O(2)(•-) is presented in which ferrous iron-superoxo and ferric hydroperoxide species are reaction intermediates, and the lysine 48 plays a key role in the control of the evolution of iron peroxide intermediate to form H(2)O(2)

Thermoelectric Higher Manganese Silicide: Synthetized, sintered and shaped simultaneously by selective laser sintering/Melting additive manufacturing technique

Complex geometry legs were advantageous to obtain higher thermoelectric potential due to a better thermal dissipation. Among all industrial processes, additive manufacturing using a selective laser sintering (SLS) or melting (SLM) techniques is the most promising to obtain such complex-shape legs without machining step. In this work, for the first time, Higher Manganese Silicide (HMS) sheet samples were synthetized, sintered and shaped simultaneously by additive manufacturing from ball milled manganese and silicon powder. Impact of surface power density and scanning rate of the laser on the microstructural and structural properties was discussed for some SLS/M parameters. Characterizations have shown that both densification and pure HMS phase can be obtained by SLS/M

Hydrogen bonding to the cysteine ligand of superoxide reductase: acid–base control of the reaction intermediates

International audienceSuperoxide reductase SOR is a non-heme iron metalloenzyme that detoxifies superoxide radical in microorganisms. Its active site consists of an unusual non-heme Fe2+ center in a [His4 Cys1] square pyramidal pentacoordination, with the axial cysteine ligand proposed to be an essential feature in catalysis. Two NH peptide groups from isoleucine 118 and histidine 119 establish H-bondings with the sulfur ligand (Desulfoarculus baarsii SOR numbering). In order to investigate the catalytic role of these H-bonds, the isoleucine 118 residue of the SOR from Desulfoarculus baarsii was mutated into alanine, aspartate or serine residues. Resonance Raman spectroscopy showed that the mutations specifically induced an increase of the strength of the Fe3+-S(Cys) and S-Cβ(Cys) bonds as well as a change in conformation of the cysteinyl side chain, which was associated with the alteration of the NH hydrogen bonding to the sulfur ligand. The effects of the isoleucine mutations on the reactivity of SOR with O2●- were investigated by pulse radiolysis. These studies showed that the mutations induced a specific increase of the pKa of the first reaction intermediate, recently proposed to be an Fe2+-O2●- species. These data were supported by DFT calculations carried out on three models of the Fe2+-O2●- intermediate, with one, two or no H-bonds on the sulfur ligand. Our results demonstrated that the hydrogen bonds between the NH (peptide) and the cysteine ligand tightly control the rate of protonation of the Fe2+-O2●- reaction intermediate to form an Fe3+-OOH species

Peut-on parler sous l'eau avec un embout de détendeur ? Etude articulatoire et perceptive

International audienceWe study the ability of sub aquatic divers to communicate orally by means of an air regulator mouthpeace equipped with an acoustical sensor. These specific constraints on elocution led us to carry out an aerodynamic study to check phonation, an EPG study tu observe the modification of articulation, and an analysis of labial forces involved with a special mouthpeace. Tests on intelligibility enabled us to evaluate the device in situation of real diving. In the current state, the various results let foresee a reduced but real possibility of spoken communication with a mouthpeace to certain conditionsCette étude porte sur la communication parlée de plongeurs en situation subaquatique. Les plongeurs sont équipés d'un embout de détendeur dans lequel est intégré un capteur acoustique. Les contraintes spécifiques d'une telle élocution nous ont poussé à effectuer une étude aérodynamique pour vérifier les mécanismes de phonation, une étude d'EPG pour observer les modifications de l'articulation et une analyse des forces labiales. Des tests d'intelligibilité nous ont permis d'évaluer le dispositif dans une situation de plongée réelle. Dans l'état actuel, les divers résultats laissent envisager une possibilité réduite mais réelle de communication parlée avec une embouchure