Numerical Shape-From-Shading for Discontinuous Photographic Images
International Journal of Computer Vision
Rapid and accurate computation of the distance function using grids
Journal of Computational Physics
Geometric optics in a phase-space-based level set and Eulerian framework
Journal of Computational Physics
Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations
Journal of Computational Physics
Short note: O(N) implementation of the fast marching algorithm
Journal of Computational Physics
Local or Global Minima: Flexible Dual-Front Active Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations
Journal of Scientific Computing
A second order discontinuous Galerkin fast sweeping method for Eikonal equations
Journal of Computational Physics
Journal of Computational Physics
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
Fast sweeping method for the factored eikonal equation
Journal of Computational Physics
Journal of Scientific Computing
Convergence Rate for a Curse-of-Dimensionality-Free Method for a Class of HJB PDEs
SIAM Journal on Control and Optimization
Some Improvements for the Fast Sweeping Method
SIAM Journal on Scientific Computing
A boundary-only meshless method for numerical solution of the Eikonal equation
Computational Mechanics
Parallel re-initialization of level set functions on distributed unstructured tetrahedral grids
Journal of Computational Physics
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations
SIAM Journal on Scientific Computing
A Third Order Accurate Fast Marching Method for the Eikonal Equation in Two Dimensions
SIAM Journal on Scientific Computing
Computers & Mathematics with Applications
The Chebyshev spectral viscosity method for the time dependent Eikonal equation
Mathematical and Computer Modelling: An International Journal
Fast Two-scale Methods for Eikonal Equations
SIAM Journal on Scientific Computing
A uniformly second order fast sweeping method for eikonal equations
Journal of Computational Physics
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We consider the construction of Markov chain approximations for an important class of deterministic control problems. The emphasis is on the construction of schemes that can be easily implemented and which possess a number of highly desirable qualitative properties. The class of problems covered is that for which the control is affine in the dynamics and with quadratic running cost. This class covers a number of interesting areas of application, including problems that arise in large deviations, risk-sensitive and robust control, robust filtering, and certain problems in computer vision. Examples are given as well as a proof of convergence.