A generalized front marching algorithm for the solution of the eikonal equation.
From MaRDI portal
Publication:1398712
DOI10.1016/S0377-0427(03)00360-1zbMath1037.65082MaRDI QIDQ1398712
Garry H. Rodrigue, Paul Covello
Publication date: 7 August 2003
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
numerical experimentseikonal equationdetonationswave opticswave front solutionfront marching algorithms
Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Combustion (80A25) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Physical optics (78A10)
Related Items
Exploration of 2D and 3D environments using Voronoi transform and fast marching method ⋮ Solving the eikonal equation on an adaptive mesh
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Curvature and the evolution of fronts
- Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
- An $\cal O(N)$ Level Set Method for Eikonal Equations
- Weakly Nonlinear Detonation Waves
- Viscosity Solutions of Hamilton-Jacobi Equations
- High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
- A Viscosity Solutions Approach to Shape-From-Shading
- Fast Marching Methods
- Efficient algorithms for globally optimal trajectories
- A fast marching level set method for monotonically advancing fronts.
- Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes