M. Bardi and I. C. Dolcetta, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations, 1997.
DOI : 10.1007/978-0-8176-4755-1

M. Bardi and M. Falcone, An Approximation Scheme for the Minimum Time Function, SIAM Journal on Control and Optimization, vol.28, issue.4, pp.950-965, 1990.
DOI : 10.1137/0328053

E. Carlini, E. Cristiani, and N. Forcadel, A Non-Monotone Fast Marching Scheme for a Hamilton-Jacobi Equation Modelling Dislocation Dynamics, Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2005, pp.723-731, 2005.
DOI : 10.1007/978-3-540-34288-5_70

E. Carlini, M. Falcone, N. Forcadel, and R. Monneau, Convergence of a Generalized Fast-Marching Method for an Eikonal Equation with a Velocity-Changing Sign, SIAM Journal on Numerical Analysis, vol.46, issue.6
DOI : 10.1137/06067403X

E. Cristiani, Fast Marching and Semi-Lagrangian Methods for Hamilton-Jacobi Equations with Applications, 2007.

E. Cristiani and M. Falcone, Numerical solution of the Isaacs equation for differential games with state constrants, Proceedings of 17th IFAC World Congress, 2008.

E. Cristiani and M. Falcone, Fast Semi-Lagrangian Schemes for the Eikonal Equation and Applications, SIAM Journal on Numerical Analysis, vol.45, issue.5, pp.1979-2011, 2007.
DOI : 10.1137/050637625

E. Cristiani and M. Falcone, A Characteristics Driven Fast Marching Method for the Eikonal Equation, 2007.
DOI : 10.1007/978-3-540-69777-0_83

E. Cristiani and M. Falcone, Fully-Discrete Schemes for the Value Function of Pursuit-Evasion Games with State Constraints, Annals of International Society of Dynamic Games
DOI : 10.1007/978-0-8176-4834-3_11

E. Cristiani, A Fast Marching Method For Hamilton-Jacobi Equations 25

M. Falcone, The minimum time problem and its applications to front propagation, in Motion by Mean Curvature and Related Topics, pp.70-88, 1994.

M. Falcone, NUMERICAL METHODS FOR DIFFERENTIAL GAMES BASED ON PARTIAL DIFFERENTIAL EQUATIONS, International Game Theory Review, vol.08, issue.02, pp.231-272, 2006.
DOI : 10.1142/S0219198906000886

M. Falcone, T. Giorgi, and P. Loreti, Level Sets of Viscosity Solutions: some Applications to Fronts and Rendez-vous Problems, SIAM Journal on Applied Mathematics, vol.54, issue.5, pp.1335-1354, 1994.
DOI : 10.1137/S0036139992233069

F. Glover, R. Glover, and D. Klingman, The threshold shortest path algorithm, pp.14-256, 1986.

P. A. Gremaud and C. M. Kuster, Computational Study of Fast Methods for the Eikonal Equation, SIAM Journal on Scientific Computing, vol.27, issue.6, pp.1803-1816, 2006.
DOI : 10.1137/040605655

S. Hysing and S. Turek, The eikonal equation: numerical efficiency vs. algorithmic complexity on quadrilateral grids, Proceedings of ALGORITMY 2005, pp.22-31

S. Kim, An $\cal O(N)$ Level Set Method for Eikonal Equations, SIAM Journal on Scientific Computing, vol.22, issue.6, pp.2178-2193, 2001.
DOI : 10.1137/S1064827500367130

R. Kimmel and J. A. Sethian, Computing geodesic paths on manifolds, Proc. Natl. Acad. Sci. USA, pp.95-8431, 1998.
DOI : 10.1073/pnas.95.15.8431

R. Kimmel and J. A. Sethian, Optimal algorithm for shape from shading and path planning, Journal of Mathematical Imaging and Vision, vol.14, issue.3, pp.237-244, 2001.
DOI : 10.1023/A:1011234012449

E. Prados and S. Soatto, Fast Marching Method for Generic Shape from Shading, Proceedings of VLSM 2005, pp.320-331
DOI : 10.1007/11567646_27
URL : https://hal.archives-ouvertes.fr/inria-00394229

J. Qian, Y. Zhang, and H. Zhao, A Fast Sweeping Method for Static Convex Hamilton???Jacobi Equations, Journal of Scientific Computing, vol.80, issue.1-2, pp.31-237, 2007.
DOI : 10.1007/s10915-006-9124-6

J. A. Sethian, Level Set Methods and Fast Marching Methods Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science, 1999.

J. A. Sethian, A fast marching level set method for monotonically advancing fronts., Proc. Natl. Acad. Sci. USA, pp.1591-1595, 1996.
DOI : 10.1073/pnas.93.4.1591

J. A. Sethian and A. Vladimirsky, Ordered Upwind Methods for Static Hamilton--Jacobi Equations: Theory and Algorithms, SIAM Journal on Numerical Analysis, vol.41, issue.1, pp.325-363, 2003.
DOI : 10.1137/S0036142901392742

A. Spira and R. Kimmel, An efficient solution to the eikonal equation on parametric manifolds, Interfaces and Free Boundaries, vol.6, pp.315-327, 2004.
DOI : 10.4171/IFB/102

Y. R. Tsai, L. Cheng, S. Osher, and H. Zhao, Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations, SIAM Journal on Numerical Analysis, vol.41, issue.2, pp.41-673, 2003.
DOI : 10.1137/S0036142901396533

J. N. Tsitsiklis, Efficient algorithms for globally optimal trajectories, IEEE Trans. Automat. Control, pp.40-1528, 1995.

A. Vladimirsky, Static PDEs for time-dependent control problems, Interfaces and Free Boundaries, pp.281-300, 2006.