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Fast two-scale methods for eikonal equations

WebABSTRACT Fast and accurate traveltime computation for quasi-P waves in anisotropic media is an essential ingredient of many seismic processing and interpretation applications such as Kirchhoff modeling and migration, microseismic source localization, and traveltime tomography. Fast-sweeping methods are widely used for solving the anisotropic … WebOct 28, 2011 · Fast Marching and Fast Sweeping are the two most commonly used methods for solving the Eikonal equation. Each of these methods performs best on a …

Fast methods for the Eikonal and related Hamilton- Jacobi equations …

WebThe eikonal method allows us to study analytically the short waves, which are divided into Alfv´en and magnetosonic waves. The eigen-modes of magnetic arcades are formed as a result ... The fast-mode oscillations also take place on some surfaces but they are not magnetic surfaces. Both the Alfv´en and fast-mode eigen-frequencies change ... WebFast Marching and Fast Sweeping are the two most commonly used methods for solving the Eikonal equation. Each of these methods performs best on a different set of … kriser\\u0027s corporate office https://ods-sports.com

Jet Marching Methods for Solving the Eikonal Equation

WebDec 20, 2024 · We develop a family of compact high-order semi-Lagrangian label-setting methods for solving the eikonal equation. These solvers march the total 1-jet of the eikonal, and use Hermite interpolation to approximate the eikonal and parametrize characteristics locally for each semi-Lagrangian update. We describe solvers on … WebMay 16, 2000 · The Fast Marching Method is a numerical algorithm for solving the Eikonal equation on a rectangular orthogonal mesh in O(M log M) steps, where M is the total number of grid points. The scheme relies on an upwind finite difference approximation to the gradient and a resulting causality relationship that lends itself to a Dijkstra-like … WebMotion trajectory obtained with the extended fast marching scale because it guarantees a motion path (if it exists), and method. ... H. Zhao, “A fast sweeping method for eikonal equations,” 12. J. Borenstein and Y. Koren, “The vector field histogram—Fast Math. Comput. 74(250), 603–627 (2005). obstacle avoidance for mobile robots ... kriser\u0027s corporate office

Fast Two-scale Methods for Eikonal Equations - Semantic …

Category:Fast Two-scale Methods for Eikonal Equations SIAM Journal …

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Fast two-scale methods for eikonal equations

A Wavefront Marching Method for Solving the Eikonal …

Web2.1. Multistencils Fast Marching Method The two key points in this algorithm are the selection of the neighborhood and the T i,j computation. Several meth-ods were proposed to improve the FMM. In this section we are going to explain one of the most accurate, the Mul-tistencils Fast Marching Method (MSFM) [13]. Whereas WebApr 1, 2015 · Solving the eikonal equation allows to compute a monotone front propagation of anisotropic nature and is thus a widely applied technique in different areas of science and engineering.

Fast two-scale methods for eikonal equations

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WebJun 11, 2015 · The Fast Marching Method is a very popular algorithm to compute times-of-arrival maps (distances map measured in time units). Since their proposal in 1995, it has … WebApplying the latest parallel computing technology has become a recent trend in Eikonal equation solvers. Many recent studies have focused on parallelization of Eikonal solvers for multithreaded CPUs or single GPU systems. However, multi-GPU Eikonal solvers are largely underresearched owing to their complexity in terms of data and task …

WebThe fast sweeping method is an iterative method which uses upwind difference for discretization and uses Gauss–Seidel iterations with alternating sweeping ordering to solve the discretized Eikonal equation on a rectangular grid. The origins of this approach lie in control theory. Although fast sweeping methods have existed in control theory ...

WebSethian's fast marching method (FMM) was the first "fast and efficient" algorithm created to solve the Eikonal equation. The original description discretizes the domain [math]\displaystyle{ \Omega \subset \mathbb{R}^n }[/math] into a regular grid and "marches" the solution from "known" values to the undiscovered regions, precisely mirroring the ... Webimage gives a gray scale that is darker near the obstacles and Index Terms—Exploration, mobile robots, robot mapping, walls and is lighter when far from them. ... The solution of the eikonal equation used in fast marching method were directly used on the environment the proposed method is given by the solution of the wave map, we would obtain ...

WebJun 1, 2016 · Solving the eikonal equation allows to compute a monotone front propagation of anisotropic nature and is thus a widely applied technique in different areas of science …

WebFast Marching and Fast Sweeping are the two most commonly used methods for solving the Eikonal equation. Each of these methods performs best on a different set... krisers fort collins coWebThe double-square-root (DSR) eikonal equation allows not only the receivers but also the shots to change position, and thus describes the prestack survey as a whole. Consequently, its linearized tomographic operator naturally handles all shots together, in contrast with the shotwise approach in the traditional eikonal-based framework. krisers clybourn 2055 n clybourn aveWebJun 19, 2013 · Numerous applications of Eikonal equations prompted the development of many efficient numerical algorithms. The Heap-Cell Method (HCM) is a recent serial two-scale technique that has been shown to ... kriser\\u0027s grooming coupon