Mean curvature flow of monotone Lagrangian submanifolds

We use holomorphic disks to describe the formation of singularities in the mean curvature flow of monotone Lagrangian submanifolds in $\mathbb C^{n}$.Comment: 37 pages, 3 figure

Towards a Multi-Scaled Functional-Structural Model of Apple, Linking Ecophysiology at the Fruit and Branch Scales

A multitude of data on eco-physiological processes in apple (Malus x domestica) is available, concerning various aspects of fruit growth and development, fruit quality, or leaf photosynthesis. However, despite the wealth of data and studies many processes leading to (inter-annual and intra-arboreal) heterogeneity in quantity of fruit production as well as fruit quality are still only poorly understood at the branch level Current Functional-Structural Plant Models of apple have targeted canopy architecture, i.e. development of vegetative structures. Here we will present a concept to apply the FSPM paradigm to the simulation of assimilation (source), transport and consumption (sink) of carbon in the context of a static structure representing the limb (fruit-bearing branch)

Effects of accretion flow on the chemical structure in the inner regions of protoplanetary disks

We have studied the dependence of the profiles of molecular abundances and line emission on the accretion flow in the hot (\ga 100K) inner region of protoplanetary disks. The gas-phase reactions initiated by evaporation of the ice mantle on dust grains are calculated along the accretion flow. We focus on methanol, a molecule that is formed predominantly through the evaporation of warm ice mantles, to show how the abundance profile and line emission depend on the accretion flow. Our results show that some evaporated molecules keep high abundances only when the accretion velocity is large enough, and that methanol could be useful as a diagnostic of the accretion flow by means of ALMA observations at the disk radius of \la 10AU.Comment: 6 pages, 5 figures, Accepted for publication in A&

Acquisition, compression and rendering of depth and texture for multi-view video

Three-dimensional (3D) video and imaging technologies is an emerging trend in the development of digital video systems, as we presently witness the appearance of 3D displays, coding systems, and 3D camera setups. Three-dimensional multi-view video is typically obtained from a set of synchronized cameras, which are capturing the same scene from different viewpoints. This technique especially enables applications such as freeviewpoint video or 3D-TV. Free-viewpoint video applications provide the feature to interactively select and render a virtual viewpoint of the scene. A 3D experience such as for example in 3D-TV is obtained if the data representation and display enable to distinguish the relief of the scene, i.e., the depth within the scene. With 3D-TV, the depth of the scene can be perceived using a multi-view display that renders simultaneously several views of the same scene. To render these multiple views on a remote display, an efficient transmission, and thus compression of the multi-view video is necessary. However, a major problem when dealing with multiview video is the intrinsically large amount of data to be compressed, decompressed and rendered. We aim at an efficient and flexible multi-view video system, and explore three different aspects. First, we develop an algorithm for acquiring a depth signal from a multi-view setup. Second, we present efficient 3D rendering algorithms for a multi-view signal. Third, we propose coding techniques for 3D multi-view signals, based on the use of an explicit depth signal. This motivates that the thesis is divided in three parts. The first part (Chapter 3) addresses the problem of 3D multi-view video acquisition. Multi-view video acquisition refers to the task of estimating and recording a 3D geometric description of the scene. A 3D description of the scene can be represented by a so-called depth image, which can be estimated by triangulation of the corresponding pixels in the multiple views. Initially, we focus on the problem of depth estimation using two views, and present the basic geometric model that enables the triangulation of corresponding pixels across the views. Next, we review two calculation/optimization strategies for determining corresponding pixels: a local and a one-dimensional optimization strategy. Second, to generalize from the two-view case, we introduce a simple geometric model for estimating the depth using multiple views simultaneously. Based on this geometric model, we propose a new multi-view depth-estimation technique, employing a one-dimensional optimization strategy that (1) reduces the noise level in the estimated depth images and (2) enforces consistent depth images across the views. The second part (Chapter 4) details the problem of multi-view image rendering. Multi-view image rendering refers to the process of generating synthetic images using multiple views. Two different rendering techniques are initially explored: a 3D image warping and a mesh-based rendering technique. Each of these methods has its limitations and suffers from either high computational complexity or low image rendering quality. As a consequence, we present two image-based rendering algorithms that improves the balance on the aforementioned issues. First, we derive an alternative formulation of the relief texture algorithm which was extented to the geometry of multiple views. The proposed technique features two advantages: it avoids rendering artifacts ("holes") in the synthetic image and it is suitable for execution on a standard Graphics Processor Unit (GPU). Second, we propose an inverse mapping rendering technique that allows a simple and accurate re-sampling of synthetic pixels. Experimental comparisons with 3D image warping show an improvement of rendering quality of 3.8 dB for the relief texture mapping and 3.0 dB for the inverse mapping rendering technique. The third part concentrates on the compression problem of multi-view texture and depth video (Chapters 5–7). In Chapter 5, we extend the standard H.264/MPEG-4 AVC video compression algorithm for handling the compression of multi-view video. As opposed to the Multi-view Video Coding (MVC) standard that encodes only the multi-view texture data, the proposed encoder peforms the compression of both the texture and the depth multi-view sequences. The proposed extension is based on exploiting the correlation between the multiple camera views. To this end, two different approaches for predictive coding of views have been investigated: a block-based disparity-compensated prediction technique and a View Synthesis Prediction (VSP) scheme. Whereas VSP relies on an accurate depth image, the block-based disparity-compensated prediction scheme can be performed without any geometry information. Our encoder adaptively selects the most appropriate prediction scheme using a rate-distortion criterion for an optimal prediction-mode selection. We present experimental results for several texture and depth multi-view sequences, yielding a quality improvement of up to 0.6 dB for the texture and 3.2 dB for the depth, when compared to solely performing H.264/MPEG-4AVC disparitycompensated prediction. Additionally, we discuss the trade-off between the random-access to a user-selected view and the coding efficiency. Experimental results illustrating and quantifying this trade-off are provided. In Chapter 6, we focus on the compression of a depth signal. We present a novel depth image coding algorithm which concentrates on the special characteristics of depth images: smooth regions delineated by sharp edges. The algorithm models these smooth regions using parameterized piecewiselinear functions and sharp edges by a straight line, so that it is more efficient than a conventional transform-based encoder. To optimize the quality of the coding system for a given bit rate, a special global rate-distortion optimization balances the rate against the accuracy of the signal representation. For typical bit rates, i.e., between 0.01 and 0.25 bit/pixel, experiments have revealed that the coder outperforms a standard JPEG-2000 encoder by 0.6-3.0 dB. Preliminary results were published in the Proceedings of 26th Symposium on Information Theory in the Benelux. In Chapter 7, we propose a novel joint depth-texture bit-allocation algorithm for the joint compression of texture and depth images. The described algorithm combines the depth and texture Rate-Distortion (R-D) curves, to obtain a single R-D surface that allows the optimization of the joint bit-allocation in relation to the obtained rendering quality. Experimental results show an estimated gain of 1 dB compared to a compression performed without joint bit-allocation optimization. Besides this, our joint R-D model can be readily integrated into an multi-view H.264/MPEG-4 AVC coder because it yields the optimal compression setting with a limited computation effort

Connaissance du devenir des éléments à risques dans les différentes filières de gestion des effluents porcins

Cet article résume les apports du programme "Porcherie verte" dans la connaissance et la maîtrise du devenir de l'azote, du phosphore et des éléments traces métalliques qui ont, à des titres divers, un impact sur l'environnement. La diminution de la teneur en protéines de l'aliment permet de réduire fortement les quantités d'azote excrétées par les animaux. Une part importante de l'azote est éliminée sous forme gazeuse lorsque les animaux sont placés sur litière ou lorsque le lisier est composté. L'importance de ces pertes d'azote peut cependant varier fortement selon les techniques utilisées et la nature des substrats. Le traitement biologique abat la majeure partie de l'azote et certains types de stations permettent de capter le reste dans des coproduits potentiellement exportables. La bonne valorisation agronomique des effluents nécessite de bien connaître leur valeur fertilisante azotée, ce que facilite l'approche typologique mise au point dans le cadre du programme. Un certain nombre de leviers alimentaires permettent de diminuer la fraction du phosphore alimentaire qui est excrétée dans les effluents: ajustement des apports alimentaires grâce à une meilleure connaissance des besoins des animaux, amélioration de la digestibilité du phosphore alimentaire par une meilleure connaissance de sa disponibilité dans les diverses matières premières ou via l'adjonction de phytase exogène. Les traitements biologiques avec séparation de phases permettent de capter le phosphore dans des coproduits potentiellement exportables et la valeur fertilisante phosphatée des effluents est en général très élevée et facile à prédire. Les éléments traces métalliques (cuivre et zinc) sont souvent ajoutés dans l'aliment à des concentrations dépassant largement les besoins stricts des animaux (pour éviter les carences) afin de bénéficier de leur effet protecteur vis-à-vis des pathologies digestives. La supplémentation par des éléments traces métalliques est utile pendant la phase de post-sevrage, mais pas au-delà et l'adjonction de phytase microbienne à l'aliment améliore la disponibilité du zinc pour l'animal. Les traitements biologiques avec séparation de phases permettent de capter le zinc et le cuivre dans des coproduits potentiellement exportables. Après épandage, les éléments traces métalliques sont peu mobiles dans le sol alors que les apports au sol excèdent en général largement les capacités d'exportation par les plantes, ce qui peut conduire à des situations de phytotoxicité à plus ou moins long terme. En fin de compte, la manière la plus simple et la plus économique de gérer les effluents d'élevage reste d'utiliser au mieux leur valeur fertilisante, ce qui s'obtient par un bon équilibre entre la quantité d'animaux produits et la capacité des sols à recevoir leurs effluents. En l'absence d'un tel équilibre, l'abattement de l'azote excédentaire par l'utilisation de litières ou par le compostage du lisier a un impact environnemental important alors même que ces solutions ne résolvent rien en termes de phosphore et d'éléments traces métalliques. Les traitements biologiques les plus sophistiqués permettent d'éliminer le phosphore et une partie des éléments traces métalliques dans des coproduits potentiellement exportables, mais ils ont un coût économique et écologique très élevé. (Résumé d'auteur

The composition of the protosolar disk and the formation conditions for comets

Conditions in the protosolar nebula have left their mark in the composition of cometary volatiles, thought to be some of the most pristine material in the solar system. Cometary compositions represent the end point of processing that began in the parent molecular cloud core and continued through the collapse of that core to form the protosun and the solar nebula, and finally during the evolution of the solar nebula itself as the cometary bodies were accreting. Disentangling the effects of the various epochs on the final composition of a comet is complicated. But comets are not the only source of information about the solar nebula. Protostellar disks around young stars similar to the protosun provide a way of investigating the evolution of disks similar to the solar nebula while they are in the process of evolving to form their own solar systems. In this way we can learn about the physical and chemical conditions under which comets formed, and about the types of dynamical processing that shaped the solar system we see today. This paper summarizes some recent contributions to our understanding of both cometary volatiles and the composition, structure and evolution of protostellar disks.Comment: To appear in Space Science Reviews. The final publication is available at Springer via http://dx.doi.org/10.1007/s11214-015-0167-

Directional Reflective Surface Formed via Gradient-Impeding Acoustic Meta-Surfaces

Artificially designed acoustic meta-surfaces have the ability to manipulate sound energy to an extraordinary extent. Here, we report on a new type of directional reflective surface consisting of an array of sub-wavelength Helmholtz resonators with varying internal coiled path lengths, which induce a reflection phase gradient along a planar acoustic meta-surface. The acoustically reshaped reflective surface created by the gradient-impeding meta-surface yields a distinct focal line similar to a parabolic cylinder antenna, and is used for directive sound beamforming. Focused beam steering can be also obtained by repositioning the source (or receiver) off axis, i.e., displaced from the focal line. Besides flat reflective surfaces, complex surfaces such as convex or conformal shapes may be used for sound beamforming, thus facilitating easy application in sound reinforcement systems. Therefore, directional reflective surfaces have promising applications in fields such as acoustic imaging, sonic weaponry, and underwater communicationope

Structural and compositional properties of brown dwarf disks: the case of 2MASS J04442713+2512164

In order to improve our understanding of substellar formation, we have performed a compositional and structural study of a brown dwarf disk. We present the result of photometric, spectroscopic and imaging observations of 2MASS J04442713+2512164, a young brown dwarf (M7.25) member of the Taurus association. Our dataset, combined with results from the literature, provides a complete coverage of the spectral energy distribution from the optical to the millimeter including the first photometric measurement of a brown dwarf disk at 3.7mm, and allows us to perform a detailed analysis of the disk properties. The target was known to have a disk. High resolution optical spectroscopy shows that it is intensely accreting, and powers a jet and an outflow. The disk structure is similar to that observed for more massive TTauri stars. Spectral decomposition models of Spitzer/IRS spectra suggest that the mid-infrared emission from the optically thin disk layers is dominated by grains with intermediate sizes (1.5micron). Crystalline silicates are significantly more abondant in the outer part and/or deeper layers of the disk, implying very efficient mixing and/or additional annealing processes. Sub-millimeter and millimeter data indicate that most of the disk mass is in large grains (>1mm)Comment: 17 pages, 10 figures, 7 tables, accepted for A&

Combined BIMA and OVRO observations of comet C/1999 S4 (LINEAR)

We present results from an observing campaign of the molecular content of the coma of comet C/1999 S4 (LINEAR) carried out jointly with the millimeter-arrays of the Berkeley-Illinois-Maryland Association (BIMA) and the Owens Valley Radio Observatory (OVRO). Using the BIMA array in autocorrelation (`single-dish') mode, we detected weak HCN J=1-0 emission from comet C/1999 S4 (LINEAR) at 14 +- 4 mK km/s averaged over the 143" beam. The three days over which emission was detected, 2000 July 21.9-24.2, immediately precede the reported full breakup of the nucleus of this comet. During this same period, we find an upper limit for HCN 1-0 of 144 mJy/beam km/s (203 mK km/s) in the 9"x12" synthesized beam of combined observations of BIMA and OVRO in cross-correlation (`imaging') mode. Together with reported values of HCN 1-0 emission in the 28" IRAM 30-meter beam, our data probe the spatial distribution of the HCN emission from radii of 1300 to 19,000 km. Using literature results of HCN excitation in cometary comae, we find that the relative line fluxes in the 12"x9", 28" and 143" beams are consistent with expectations for a nuclear source of HCN and expansion of the volatile gases and evaporating icy grains following a Haser model.Comment: 18 pages, 3 figures. Uses aastex. AJ in pres