Contents
Academic literature on the topic 'Dirac measures estimation'
Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles
Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Dirac measures estimation.'
Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.
You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.
Journal articles on the topic "Dirac measures estimation"
Capasso, Vincenzo, and Elena Villa. "ON MEAN DENSITIES OF INHOMOGENEOUS GEOMETRIC PROCESSES ARISING IN MATERIAL SCIENCE AND MEDICINE." Image Analysis & Stereology 26, no. 1 (May 3, 2011): 23. http://dx.doi.org/10.5566/ias.v26.p23-36.
Full textAllendes, Alejandro, Enrique Otárola, Richard Rankin, and Abner J. Salgado. "Ana posteriorierror analysis for an optimal control problem with point sources." ESAIM: Mathematical Modelling and Numerical Analysis 52, no. 5 (September 2018): 1617–50. http://dx.doi.org/10.1051/m2an/2018010.
Full textKnudsen, G. M., K. D. Pettigrew, C. S. Patlak, and O. B. Paulson. "Blood-brain barrier permeability measurements by double-indicator method using intravenous injection." American Journal of Physiology-Heart and Circulatory Physiology 266, no. 3 (March 1, 1994): H987—H999. http://dx.doi.org/10.1152/ajpheart.1994.266.3.h987.
Full textNg, Kam, Vladimir Nazarov, Sergey Kuchinsky, Aramais Zakharian, and Ming-Jun Li. "Analysis of Crosstalk in Multicore Fibers: Statistical Distributions and Analytical Expressions." Photonics 10, no. 2 (February 7, 2023): 174. http://dx.doi.org/10.3390/photonics10020174.
Full textSun, Bingbing, and Tariq Alkhalifah. "Adaptive traveltime inversion." GEOPHYSICS 84, no. 4 (July 1, 2019): U13—U29. http://dx.doi.org/10.1190/geo2018-0595.1.
Full textLAGODIIENKO, Volodymyr, and Vitalii Kostylianu. "Domestic government loans as a modern investment trend in the system of international and national movement of capital transfer: challenges and prospects." Actual problems of innovative economy, no. 2020/3 (June 25, 2020): 85–90. http://dx.doi.org/10.36887/2524-0455-2020-3-15.
Full textLeng, Haitao. "Analysis of an HDG method for the Navier-Stokes equations with Dirac measures." ESAIM: Mathematical Modelling and Numerical Analysis, September 11, 2022. http://dx.doi.org/10.1051/m2an/2022068.
Full textDissertations / Theses on the topic "Dirac measures estimation"
Laville, Bastien. "Reconstruction sans-grille de courbes : théorie et applications en microscopie de fluorescence." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4062.
Full textThis PhD thesis aims to define and explain the tools for curve reconstruction using off-the-grid variational methods, as part of a range of applications in biomedical imaging, and more specifically in fluorescence microscopy.Several convex or non-convex numerical algorithms have already been developed within the Morpheme research team, where this thesis was conducted, in the context of non-convex sparse optimisation. These techniques were developed in the discrete case, on a grid, which means that the super-resolved image is defined on a finer grid than the observed images. In contrast, in this PhD thesis, we are developing off-the-grid also called gridless methods, while working on the space of bounded measures. This choice brings several advantages: the source is not limited by a fine grid and can be located continuously, quantitative bounds on the discrepancy between the reconstruction and the source can be written, and these approaches allow encoding structural/geometric information in the variational problem, to recover a source of a certain shape, such as a point or a curve.We will begin by reviewing the state of the art in off-the-grid methods, focusing on the reconstruction of point sources. In particular, we will illustrate its practical interest in fluorescence microscopy, especially compared with classical models: the reconstructions proposed are as convincing as those produced by deep learning models, and this without requiring a learning set or hyperparameters tuning.We will then introduce a gridless method for fluctuation-based fluorescence microscopy. This method exploits the independence of fluctuations in fluoroform luminosity, which means that specific and expensive acquisition equipment is not required. The limitations of this model, formulated for the reconstruction of point sources, will lead us to define a new off-the-grid method, this time for the reconstruction of curve.We will further study the design of an off-the-grid method, addressing the struggle of fluoroform along filaments that form curves in the images; a problem which is not taken care of in the literature. In particular, we will define the involved optimisation space, namely the space of vector measures with finite divergence, also known as the space of charges. We will further explain how to define curve measures, and we will write a new functional called CROC (for Curves Represented On Charges). We will finish by showing that there is a solution to this energy that can be written as a finite linear combination of measurements carried by curves.Finally, we will study the numerical implementation of this problem, using an adaptation of the greedy algorithm widely used in the literature. We will discuss the properties of our algorithm, called Charge Sliding Frank-Wolfe, and the difficulties encountered in the definition of the observation model, in choosing the discrete parametrisation of the curves, and so on.The thesis will be concluded with a reminder of the main points encountered in each chapter, and an opening section summing up the possible avenues of research that we have identified over the course of the chapters
Lacouture, Loïc. "Modélisation et simulation du mouvement de structures fines dans un fluide visqueux : application au transport mucociliaire." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLS139/document.
Full textNumerous mucous membranes inside the human body are covered with cilia which, by their coordinated movements, lead to a circulation of the layer of fluid coating the mucous membrane, which allows, for example, in the case of the internal wall of the bronchi, the evacuation of the impurities inspired outside the respiratory system.In this thesis, we integrate the effects of the cilia on the fluid, at the scale of the cilium. For this, we consider the incompressible Stokes equations. Due to the very small thickness of the cilia, the direct computation would request a time-varying mesh grading around the cilia. To avoid too prohibitive computational costs, we consider the asymptotic of a zero diameter cilium with an infinite velocity: the cilium is modelled by a lineic Dirac of force in source term. In order to ease the computations, the lineic Dirac of forces can be approached by a sum of punctual Dirac masses distributed along the cilium. Thus, by linearity, we have switched our initial problem with the Stokes problem with a punctual force in source term. Thus, we simplify the computations, but the final problem is more singular than the initial problem. The loss of regularity involves a deeper numerical analysis and the development of a new method to solve the problem.We have first studied a scalar version of this problem: Poisson problem with a Dirac right-hand side. The exact solution is singular, therefore the finite element solution has to be defined with caution. In this case, the convergence is not as good as in the regular case, and thus we focused on local error estimates. We have proved a quasi-optimal convergence in H1-norm (s ď 1) on a sub-domain which does not contain the singularity. Similar results have been shown for the Stokes problem too.In order to recover an optimal convergence on the whole domain, we have developped a numerical method to solve elliptic problems with a Dirac mass or a punctual force in source term. It is based on the standard finite element method and the explicit knowl- edge of the singularity of the exact solution. Given the positions of the cilia and their parametrisations, this method permits to compute in 3d a very high number of cilia. We have applied this to the study of the mucociliary transport in the lung. This numerical tool gives us information we do not have with the experimentations and pathologies can be computed and studied by this way, like for example a small number of cilia