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eikonal equation

Numerical analysis of an inverse problem for the eikonal equation

Numerical analysis of an inverse problem for the eikonal equation

... an eikonal equation of determining the speed function using observations of the arrival time on a fixed ...the eikonal equation coupled to the so–called Soner boundary ...state equation ...

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MASSIVELY PARALLEL ALGORITHM FOR SOLVING THE EIKONAL EQUATION ON MULTIPLE ACCELERATOR PLATFORMS

MASSIVELY PARALLEL ALGORITHM FOR SOLVING THE EIKONAL EQUATION ON MULTIPLE ACCELERATOR PLATFORMS

... The distance field is a representation of a surface geometry or shape required by many algorithms within the areas of computer graphics, visualization, computational fluid dynamics and more. It can be calculated by ...

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Computational study of fast methods for the eikonal equation

Computational study of fast methods for the eikonal equation

... Abstract. A computational study of the fast marching and the fast sweeping methods for the eikonal equation is given. It is stressed that both algorithms should be considered as “direct” (as opposed to ...

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Computational study of fast methods for the Eikonal equation

Computational study of fast methods for the Eikonal equation

... the Eikonal equation such as Fast Marching and Fast Sweeping can be modified to retain optimal convergence rates (first or second order) even on low regularity ...nonuniform Eikonal problems ...

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The Eikonal Equation for Metamaterials Optics from a Moving Boundary Variational Principle

The Eikonal Equation for Metamaterials Optics from a Moving Boundary Variational Principle

... evolution equation of the wavefront, considered as a moving natural boundary of a variational problem, is ...evolution equation (ray equation) has been traditionally obtained from Fermat’s principle, ...

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Ensemble based methods for geometric inverse problems

Ensemble based methods for geometric inverse problems

... y = G(u) + η, η ∼ N (0, Γ), (5.2.1) our quantity of interest is the slowness function. This problem can be attributed as essentially a gradient recovery problem, which has been looked at in a general sense [113, 149, ...

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Efficient and Robust Segmentations Based on Eikonal and Diffusion PDEs

Efficient and Robust Segmentations Based on Eikonal and Diffusion PDEs

... separate Eikonal equations, each originating from a different ...differential equation (PDE) based method to propagate information in a manner inspired by the information propagation feature of the ...

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EIKONAL-BASED MODELS OF RANDOM TESSELLATIONS

EIKONAL-BASED MODELS OF RANDOM TESSELLATIONS

... the Eikonal equation. The Eikonal equation describes the propagation of a wave from an initial set of boundaries on a domain where the local propagation velocity can vary (Malladi et ...the ...

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A semi Lagrangian scheme for a modified version of the Hughes’ Model for Pedestrian Flow

A semi Lagrangian scheme for a modified version of the Hughes’ Model for Pedestrian Flow

... Abstract In this paper we present a Semi-Lagrangian scheme for a regu- larized version of the Hughes model for pedestrian flow. Hughes originally proposed a coupled nonlinear PDE system describing the evolution of a ...

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Efficient segmentation based on Eikonal and diffusion equations

Efficient segmentation based on Eikonal and diffusion equations

... Segmentation of regions of interest in an image has important applications in medical image analysis, particularly in computer aided diagnosis. Segmentation can enable further quantitative analysis of anatomical ...

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A More Precise Computation of Along Wind Dynamic Response Analysis for Tall Buildings Built in Urban Areas

A More Precise Computation of Along Wind Dynamic Response Analysis for Tall Buildings Built in Urban Areas

... Comparing Equation (24) and Equation (22), their relative error is a quite large for modern tall buildings built in urban ...From Equation (22), a spectrum matrix of the wind load vector can be ...

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The elastic differential pp cross-section at 13 TeV: an empirical model analysis

The elastic differential pp cross-section at 13 TeV: an empirical model analysis

... We should point out, before concluding this note, that the BN model as described in this section in the one-channel eikonal mini-jet formulation, cannot yet be applied to the description of the differential ...

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Neutronization: A More Comprehensive Equation

Neutronization: A More Comprehensive Equation

... in equation. (6). Indeed, just to make the numbers work, the 3rd particle added by Pauli to βd  , and indicated by Fermi with the name of , must have the same mass of electron. At this point it can be useful to ...

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Proof of concept design and analysis of active flow control of a supersonic micro-nozzle

Proof of concept design and analysis of active flow control of a supersonic micro-nozzle

... List of Equations Equation 1-1 Equation 1-2 Thrust Coefficient Grisnik & Equation 2-1 Young, Equation 2-2 25 Young, 1989 26 Equation 3-2 - Equation 3-5 - - Equation A-3 Equation A-4 Equa[r] ...

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Small x Asymptotics of the Quark and Gluon Helicity Distributions

Small x Asymptotics of the Quark and Gluon Helicity Distributions

... + tr V 1 pol V 0 † (zs), (6) where the double-angle brackets are defined to scale out the center-of-mass energy zs between the polarized (anti)quark and the target. While the unpolarized Wilson lines in Eq. (6) are the ...

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Differential Scattering Cross Section Calculations for Low Energy Electron Interaction with Polyatomic Nitrogen oxide (N2O) and Ozone (O3) Molecules

Differential Scattering Cross Section Calculations for Low Energy Electron Interaction with Polyatomic Nitrogen oxide (N2O) and Ozone (O3) Molecules

... energy is taken as 7 eV., 10 eV. respectively. The rotational excitation differential cross-sections are calculated using Born Eikonal Series (BES) approximation method and employed hard sphere dipole interaction ...

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Quantitative Mereology: An essay to derive physics laws from a philosophical concept

Quantitative Mereology: An essay to derive physics laws from a philosophical concept

... “basic equation” can then be subjected to a number of algebraic ...this equation leads to correlation terms between the things implying that the whole is more than just the sum of its ...basic ...

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p – air production cross-section and uncorrelated mini-jets processes in pp-scattering

p – air production cross-section and uncorrelated mini-jets processes in pp-scattering

... It is important to stress that in the case of cosmic rays, first and foremost one needs an eikonal function which gives a description of the total pp cross- section, through a good understanding of the underlying ...

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Computations of Scattering Cross Sections for He, Ne, Ar, Kr, Xe and Rn

Computations of Scattering Cross Sections for He, Ne, Ar, Kr, Xe and Rn

... The Born approximation involves an approximation to the complex scattering amplitude (Merzbacher, 1970). It has been extensively used to study low energy as well as high energy scattering processes. The Eikonal ...

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Nijenhius Tensoron Hyperbolic Hsu-Structure Manifold

Nijenhius Tensoron Hyperbolic Hsu-Structure Manifold

... resulting equation we get ...Barring equation (2.2b) throughout and using structure in the resulting equation, we get the equation ...in equation (2.1b), using structure and comparing ...

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