Fast two-scale methods for eikonal equations
WebDec 7, 2024 · The Fast marching method is a very rapid method for solving the Eikonal equation, which describes the advances of a wavefront. However it's applicable to a great variety of problems (see for example the webpage of J.A. Sethian, one of the original developers). Some applications are shown by the output of my program below. WebFast Two-scale Methods for Eikonal Equations @article{Chacon2012FastTM, title={Fast Two-scale Methods for Eikonal Equations}, author={Adam Chacon and Alexander Vladimirsky}, journal={SIAM J. Sci. Comput.}, year={2012}, volume={34} }
Fast two-scale methods for eikonal equations
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WebThe Fast Sweeping Method Hongkai Zhao Department of Mathematics University of California, Irvine ... The Eikonal equation: ∇u(x) = c(x), u(x) = 0, x ∈ S u(x) is the first arrival time for a front starting at S with a propagation speed vn = 1 c(x). T=0 T T 1 2 vn =f 4. Numerical methods Two crucial ingredients: ⋄ Appropriate ... WebObject shape reconstruction from images has been an active topic in computer vision. Shape-from-shading (SFS) is an important approach for inferring 3D surface from a single shading image. In this paper, we present a unified SFS approach for surfaces of various reflectance properties using fast eikonal solvers. The whole approach consists of three …
WebJul 28, 2024 · 5 Conclusion. We present both first-order and second-order hybrid fast sweeping methods for computing the first-arrival traveltime of the qP, qSV and qSH … 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 …
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 ... WebJan 8, 2015 · Abstract. Numerous applications of Eikonal equations prompted the development of many efficient numerical algorithms. The Heap-Cell Method (HCM) is a …
WebMar 15, 2007 · The fast marching algorithm computes an approximate solution to the eikonal equation in O (N log N) time, where the factor log N is due to the administration of a priority queue. Recently, Yatziv ...
WebOct 27, 2011 · Fast Two-scale Methods for Eikonal Equations Authors: Adam Chacon Alexander Vladimirsky Abstract Fast Marching and Fast Sweeping are the two most … shipit multimodal logistics nvWebMar 1, 2012 · 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 different set of problems. Fast Sweeping, for example, will outperform Fast Marching on problems where the characteristics are largely straight lines. shipit processWebApplying 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 … shipit wellcareWebDec 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 … shipit trains updateWeb4 hours ago · Physics-Informed Neural Networks (PINNs) are a new class of machine learning algorithms that are capable of accurately solving complex partial differential equations (PDEs) without training data. By introducing a new methodology for fluid simulation, PINNs provide the opportunity to address challenges that were previously … shipitandverifyWebThe method is an iterative two-scale method that uses a parareal-like update scheme in combination with standard Eikonal solvers. The purpose of the two scales is to accelerate convergence and maintain accuracy. We adapt a weighted version of the parareal method for stability, and the optimal weights are studied via a model problem. shipit trainsWebAbstract. Numerous applications of Eikonal equations prompted the development of many efficient numerical algorithms. The Heap-Cell Method (HCM) is a recent serial two-scale … shipit software