Fast sweeping method for eikonal equations

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August undefined, 2024

WebIt is worthwhile to compare our approach to some fast sweeping approaches and embed-ding ideas. Qian et al. [28,29] has proposed a fast sweeping method for solving eikonal equations on surfaces explicitly represented by a triangulation. One main contribution in those work is a new ordering strategy for the fast sweeping method so that the ... WebOct 10, 2024 · Different from the fast marching method, the fast sweeping method is an iterative method and follows the Eikonal equations’ causality along characteristics in a parallel way, i.e., each Gauss-Seidel iteration with a specific sweeping ordering covers a family of characteristics in a certain direction simultaneously.

Fast sweeping method - Wikipedia

WebEikonal equations naturally arise in the WKB method and the study of Maxwell's equations. Eikonal equations provide a link between physical (wave) optics and … WebThe fast sweeping method is an iterative method which uses upwind difference for discretization and uses Gauss–Seidel iterationswith alternating sweeping ordering to … free gps for my laptop

Fast Sweeping Methods for Eikonal Equations on Triangular …

WebMay 29, 2024 · The proposed methods enjoy all the appealing features as in the fast sweeping method for the isotropic eikonal equation (Zhao, 2005), that is, consistency, monotonicity, and convergence. For problems with a point-source condition, a factorization approach is applied to resolve the source singularities such that clear first-order … Webmethods for wave equations based on fast multiscale wavepacket transforms. Fast sweeping methods are a family of efficient algorithms for solving nonlinear stationary Hamilton-Jacobi equations which include eikonal equations. Gaussian beam methods are a class of uniform geometrical-optics approximations for wave equations which include … WebWe propose a computational efficient yet simple numerical algorithm to solve the surface eikonal equation on general implicit surfaces. The method is developed based on the embedding idea and the fast sweeping methods. We first approximate the solution ... blue and white check cushion covers

GitHub - Matt-Wang11/fast_sweeping_method

Fast sweeping method for eikonal equations

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WebWe propose a computational efficient yet simple numerical algorithm to solve the surface eikonal equation on general implicit surfaces. The method is developed based on the …

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WebPhys., 227 (2008) pp. 8191–8208], we developed a fast sweeping method based on a hybrid local solver which is a combination of a discontinuous Galerkin (DG) finite element … Webfast eikonal solvers, pdii equation, less cpu running time, partial differential image irradiance, object shape reconstruction, different reflectance properties, fast sweeping …

WebThe fast sweeping method is motivated by the work in [2] and was first used in [21] for computing the distance function. The main idea of the fast sweeping method is to use … WebFast Marching Methods are numerical schemes for computing solutions to the nonlinear Eikonal equation and related static Hamilton--Jacobi equations. Based on entropy-satisfying upwind schemes and fast sorting techniques, they yield consistent, accurate, ...

WebSeveral methods have been proposed to solve the Eikonal equation [2],[11],[12],[13],[14],[15],[16],[17].The most stable and consistent methods among those techniques are the fast sweeping method (FSM)and the fast marching method (FMM),which are applicable to both Cartesian domains [2],[17],[18]and triangulated … WebFeb 18, 2024 · The Eikonal-equation-based method outperforms traditional ray methods by producing more accurate results. However, most existing Eikonal solvers are …

WebWe develop a numerical algorithm based on the fast sweeping method to solve the factored eikonal equation and to evaluate the resultant gain in accuracy. The fast sweeping …

http://icmsec.cc.ac.cn/Uploads/old/news/2011/20110623-1.pdf blue and white checked dishesWebobstacle to the design of higher order DG fast sweeping methods. In this paper, we overcome this problem by developing uniformly accurate DG fast sweeping methods for solving Eikonal equations. We design novel causality indicators which guide the information ﬂow directions for the DG local solver. free gps for trucksWeborder discontinuous Galerkin method of [3]. These high order fast sweeping methods are also used in the pedestrian flow simulations in [7,16], which require repeated solution of a static Eikonal equation. The high order fast sweeping methods produce much more accurate solutions on coarser meshes when compared with the first order fast sweeping ... blue and white characterWebThe original fast sweeping method, which is an efficient iterative method for stationary Hamilton–Jacobi equations, relies on natural ordering provided by a rectangular mesh. We propose novel ordering strategies so that the fast sweeping method can be extended efficiently and easily to any unstructured mesh. blue and white checked flannel shirtWebformulation for the eikonal equation as adopted by the fast sweeping and fast march-ing methods. In Section 3, we derive the Schrödinger wave equation from ﬁrst prin-ciples for the eikonal equation by following Feynman’s path integral approach [14]. In Section 4, we provide an eﬃcient FFT-based numerical technique for solving the blue and white checked dressWebThe fast sweeping method is motivated by the work in [2] and was first used in [21] for computing the distance function. The main idea of the fast sweeping method is to use nonlinear upwind difference and Gauss-Seidel iterations with alternating sweeping ordering. In con-trast to the fast marching method, the fast sweeping method follows the ... blue and white checked ribbonWebNumerous advances have been made in the original technique, including the adaptive narrow band methodology27 and the fast marching method for solving the static eikonal equation.9,26 For further details and summaries of level set and fast marching techniques for numerical purposes, see ref. [26]. blue and white chasing christmas lights