-
1
-
-
0004115996
-
-
Prentice-Hall, Upper Saddle River, NJ
-
R. K. Ahuja, T. L. Magnanti, and J. B. Orlin, Network Flows, Prentice-Hall, Upper Saddle River, NJ, 1993.
-
(1993)
Network Flows
-
-
Ahuja, R.K.1
Magnanti, T.L.2
Orlin, J.B.3
-
2
-
-
77952721815
-
Fast marching methods for stationary Hamilton-Jacobi equations with axis-aligned anisotropy
-
K. Alton and I. M. Mitchell, Fast marching methods for stationary Hamilton-Jacobi equations with axis-aligned anisotropy, SIAM J. Numer. Anal., 47 (2008), pp. 363-385.
-
(2008)
SIAM J. Numer. Anal.
, vol.47
, pp. 363-385
-
-
Alton, K.1
Mitchell, I.M.2
-
5
-
-
84974753170
-
Convergence of approximation schemes for fully nonlinear second order equations
-
G. Barles and P. E. Souganidis, Convergence of approximation schemes for fully nonlinear second order equations, Asymptot. Anal., 4 (1991), pp. 271-283.
-
(1991)
Asymptot. Anal.
, vol.4
, pp. 271-283
-
-
Barles, G.1
Souganidis, P.E.2
-
6
-
-
0003787146
-
-
Princeton University Press, Princeton, NJ
-
R. Bellman, Dynamic Programming, Princeton University Press, Princeton, NJ, 1957.
-
(1957)
Dynamic Programming
-
-
Bellman, R.1
-
7
-
-
21344476884
-
A simple and fast label correcting algorithm for shortest paths
-
D. P.Bertsekas, A simple and fast label correcting algorithm for shortest paths, Networks, 23 (1993), pp. 703-709.
-
(1993)
Networks
, vol.23
, pp. 703-709
-
-
Bertsekas, D.1
-
9
-
-
0003565783
-
-
2nd ed., Athena Scientific, Boston, MA
-
D. P. Bertsekas, Dynamic Programming and Optimal Control, vol. I and II, 2nd ed., Athena Scientific, Boston, MA, 2001.
-
(2001)
Dynamic Programming and Optimal Control
, vol.1-2
-
-
Bertsekas, D.P.1
-
10
-
-
0030532301
-
Parallel asynchronous label correcting methods for shortest paths
-
D. P. Bertsekas, F. Guerriero, and R. Musmanno, Parallel asynchronous label correcting methods for shortest paths, J. Optim. Theory Appl., 88 (1996), pp. 297-320.
-
(1996)
J. Optim. Theory Appl.
, vol.88
, pp. 297-320
-
-
Bertsekas, D.P.1
Guerriero, F.2
Musmanno, R.3
-
11
-
-
33746085983
-
Finite-element discretization of static Hamilton-Jacobi equations based on a local variational principle
-
DOI 10.1007/s00791-006-0016-y
-
F. Bornemann and C. Rasch, Finite-element discretization of static Hamilton-Jacobi equations based on a local variational principle, Comput. Vis. Sci., 9 (2006), pp. 57-69. (Pubitemid 44078307)
-
(2006)
Computing and Visualization in Science
, vol.9
, Issue.2
, pp. 57-69
-
-
Bornemann, F.1
Rasch, C.2
-
12
-
-
0001678817
-
Markov chain approximations for deterministic control problems with affine dynamics and quadratic cost in the control
-
PII S0036142997323521
-
M. Boué and P. Dupuis, Markov chain approximations for deterministic control problems with affine dynamics and quadratic cost in the control, SIAM J. Numer. Anal., 36 (1999), pp. 667-695. (Pubitemid 129569406)
-
(1999)
SIAM Journal on Numerical Analysis
, vol.36
, Issue.3
, pp. 667-695
-
-
Boue, M.1
Dupuis, P.2
-
14
-
-
84968507121
-
Some properties of viscosity solutions of Hamilton-Jacobi equations
-
M. G. Crandall, L. C. Evans, and P.-L. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Sci., 282 (1984), pp. 487-502.
-
(1984)
Trans. Amer. Math. Sci.
, vol.282
, pp. 487-502
-
-
Crandall, M.G.1
Evans, L.C.2
Lions, P.-L.3
-
15
-
-
84967758647
-
Viscosity solutions of Hamilton-Jacobi equations
-
M. G. Crandall and P.-L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Sci., 277 (1983), pp. 1-43.
-
(1983)
Trans. Amer. Math. Sci.
, vol.277
, pp. 1-43
-
-
Crandall, M.G.1
Lions, P.-L.2
-
16
-
-
65049091001
-
A characteristics driven fast marching method for the Eikonal equation
-
Graz, Austria
-
E. Cristiani and M. Falcone, A characteristics driven fast marching method for the Eikonal equation, in Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2007, Graz, Austria, 2007, pp. 695-702.
-
(2007)
Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2007
, pp. 695-702
-
-
Cristiani, E.1
Falcone, M.2
-
18
-
-
84945708671
-
Algorithm 360: Shortest path forest with topological ordering
-
R. Dial, Algorithm 360: Shortest path forest with topological ordering, Comm. ACM, (1969), pp. 632-633.
-
(1969)
Comm. ACM
, pp. 632-633
-
-
Dial, R.1
-
19
-
-
34147120474
-
A note on two problems in connection with graphs
-
E. W. Dijkstra, A note on two problems in connection with graphs, Numer. Math., 1 (1959), pp. 269-271.
-
(1959)
Numer. Math.
, vol.1
, pp. 269-271
-
-
Dijkstra, E.W.1
-
20
-
-
0041980268
-
The minimum time problem and its applications to front propagation
-
Walter de Gruyter, New York
-
M. Falcone, The minimum time problem and its applications to front propagation, inMotion by Mean Curvature and Related Topics, Proceedings of the International Conference at Trento, 1992, Walter de Gruyter, New York, 1994.
-
(1994)
Motion by Mean Curvature and Related Topics, Proceedings of the International Conference at Trento, 1992
-
-
Falcone, M.1
-
21
-
-
0020722507
-
The threshold shortest path algorithm
-
F. Glover, R. Glover, and D. Klingman, The threshold shortest path algorithm, Math. Program. Stud., 26 (1986), pp. 12-37.
-
(1986)
Math. Program. Stud.
, vol.26
, pp. 12-37
-
-
Glover, F.1
Glover, R.2
Klingman, D.3
-
22
-
-
0022027092
-
On deterministic control problems: An approximation procedure for the optimal cost. i. The stationary problem
-
R. Gonzales and E. Rofman, On deterministic control problems: An approximate procedure for the optimal cost, I, the stationary problem, SIAM J. Control Optim., 23 (1985), pp. 242- 266. (Pubitemid 15473328)
-
(1985)
SIAM Journal on Control and Optimization
, vol.23
, Issue.2
, pp. 242-266
-
-
Gonzalez, R.1
Rofman, E.2
-
23
-
-
33751231737
-
Computational study of fast methods for the eikonal equation
-
DOI 10.1137/040605655
-
P. A. Gremaud and C. M. Kuster, Computational study of fast methods for the Eikonal equation, SIAM J. Sci. Comput., 27 (2006), pp. 1803-1816. (Pubitemid 44784217)
-
(2006)
SIAM Journal of Scientific Computing
, vol.27
, Issue.6
, pp. 1803-1816
-
-
Gremaud, P.A.1
Kuster, C.M.2
-
24
-
-
33744765609
-
The Eikonal equation: Numerical efficiency vs. algorithmic complexity on quadrilateral grids
-
S.-R. Hysing and S. Turek, The Eikonal equation: Numerical efficiency vs. algorithmic complexity on quadrilateral grids, in Proceedings of ALGORITMY, 2005, pp. 22-31.
-
(2005)
Proceedings of ALGORITMY
, pp. 22-31
-
-
Hysing, S.-R.1
Turek, S.2
-
25
-
-
55349143482
-
A fast iterative method for Eikonal equations
-
W.-K. Jeong and R. T. Whitaker, A fast iterative method for Eikonal equations, SIAM J. Sci. Comput., 30 (2008), pp. 2512-2534.
-
(2008)
SIAM J. Sci. Comput.
, vol.30
, pp. 2512-2534
-
-
Jeong, W.-K.1
Whitaker, R.T.2
-
26
-
-
1942507479
-
Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations
-
DOI 10.1016/j.jcp.2003.11.007
-
C. Y. Kao, S. Osher, and J. Qian, Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations, J. Comput. Phys., 196 (2004), pp. 367-391. (Pubitemid 38521675)
-
(2004)
Journal of Computational Physics
, vol.196
, Issue.1
, pp. 367-391
-
-
Kao, C.Y.1
Osher, S.2
Qian, J.3
-
27
-
-
29144492874
-
Fast sweeping methods for static hamilton-jacobi equations
-
DOI 10.1137/S0036142902419600
-
C. Y. Kao, S. Osher, and Y. H. Tsai, Fast sweeping methods for static Hamilton-Jacobi equations, SIAM J. Numer. Anal., 42 (2005), pp. 2612-2632. (Pubitemid 41812897)
-
(2005)
SIAM Journal on Numerical Analysis
, vol.42
, Issue.6
, pp. 2612-2632
-
-
Kao, C.-Y.1
Osher, S.2
Tsai, Y.-H.3
-
28
-
-
0035679975
-
An O(N) level set method for eikonal equations
-
DOI 10.1137/S1064827500367130, PII S1064827500367130
-
S. Kim, An O(N) level set method for eikonal equations, SIAM J. Sci. Comput., 22 (2001), pp. 2178-2193. (Pubitemid 34050959)
-
(2001)
SIAM Journal of Scientific Computing
, vol.22
, Issue.6
, pp. 2178-2193
-
-
Kim, S.1
-
29
-
-
0001140342
-
Fast marching methods on triangulated domains
-
R. Kimmel and J. A. Sethian, Fast marching methods on triangulated domains, Proc. Natl. Acad. Sci., 95 (1998), pp. 8341-8435.
-
(1998)
Proc. Natl. Acad. Sci.
, vol.95
, pp. 8341-8435
-
-
Kimmel, R.1
Sethian, J.A.2
-
31
-
-
47049115993
-
A second order DGM based fast sweeping method for Eikonal equations
-
F. Li, C.-W. Shu, Y.-T. Zhang, and H.-K. Zhao, A second order DGM based fast sweeping method for Eikonal equations, J. Comput. Phys., 227 (2008), pp. 8191-8208.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 8191-8208
-
-
Li, F.1
Shu, C.-W.2
Zhang, Y.-T.3
Zhao, H.-K.4
-
32
-
-
80052243209
-
A new approximation for effective Hamiltonians for homogenization of a class of Hamilton-Jacobi equations
-
S. Luo, Y. Yu, and H.-K. Zhao, A new approximation for effective Hamiltonians for homogenization of a class of Hamilton-Jacobi equations, Multiscale Model. Simul., 9 (2011), pp. 711-734.
-
(2011)
Multiscale Model. Simul.
, vol.9
, pp. 711-734
-
-
Luo, S.1
Yu, Y.2
Zhao, H.-K.3
-
33
-
-
80051969666
-
Homogenization of metric Hamilton-Jacobi equations
-
A. M. Oberman, R. Takei, and A. Vladimirsky, Homogenization of metric Hamilton-Jacobi equations, Multiscale Model. Simul., 8 (2009), pp. 269-295.
-
(2009)
Multiscale Model. Simul.
, vol.8
, pp. 269-295
-
-
Oberman, A.M.1
Takei, R.2
Vladimirsky, A.3
-
34
-
-
34250423432
-
Implementation and efficiency of Moore: Algorithms for the shortest path problem
-
U. Pape, Implementation and efficiency of Moore: Algorithms for the shortest path problem, Math. Program., 7 (1974), pp. 212-222.
-
(1974)
Math. Program.
, vol.7
, pp. 212-222
-
-
Pape, U.1
-
35
-
-
0032002953
-
Implementation of efficient algorithms for globally optimal trajectories
-
PII S0018928698011751
-
L. C. Polymenakos, D. P. Bertsekas, and J. N. Tsitsiklis, Implementation of efficient algorithms for globally optimal trajectories, IEEE Trans. Automat. Control, 43 (1998), pp. 278-283. (Pubitemid 128736479)
-
(1998)
IEEE Transactions on Automatic Control
, vol.43
, Issue.2
, pp. 278-283
-
-
Polymenakos, L.C.1
Bertsekas, D.P.2
Tsitsiklis, J.N.3
-
36
-
-
67651153042
-
Remarks on the O(N) implementation of the fast marching method
-
C. Rasch and T. Satzger, Remarks on the O(N) implementation of the fast marching method, IMA J. Numer. Anal., 29 (2009), pp. 806-813.
-
(2009)
IMA J. Numer. Anal.
, vol.29
, pp. 806-813
-
-
Rasch, C.1
Satzger, T.2
-
37
-
-
0026880997
-
A viscosity solutions approach to shape-from-shading
-
E. Rouy and A. Tourin, A viscosity solutions approach to shape-from-shading, SIAM J. Numer. Anal., 29 (1992), pp. 867-884.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 867-884
-
-
Rouy, E.1
Tourin, A.2
-
39
-
-
0003661003
-
-
Cambridge University Press, Cambridge, UK
-
J. A. Sethian, Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision and Materials Sciences, Cambridge University Press, Cambridge, UK, 1996.
-
(1996)
Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision and Materials Sciences
-
-
Sethian, J.A.1
-
40
-
-
0032631799
-
Fast marching methods
-
J. A. Sethian, Fast marching methods, SIAM Rev., 41 (1999), pp. 199-235.
-
(1999)
SIAM Rev.
, vol.41
, pp. 199-235
-
-
Sethian, J.A.1
-
43
-
-
1842511489
-
Ordered upwind methods for static Hamilton-Jacobi equations: Theory and algorithms
-
J. A. Sethian and A. Vladimirsky, Ordered upwind methods for static Hamilton-Jacobi equations: Theory and algorithms, SIAM J. Numer. Anal., 41 (2003), pp. 325-363.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 325-363
-
-
Sethian, J.A.1
Vladimirsky, A.2
-
44
-
-
84958160224
-
Ordered upwind methods for hybrid control
-
Springer, Berlin
-
J. A. Sethian and A. Vladimirsky, Ordered upwind methods for hybrid control, in Proceedings of the 5th International Workshop, HSCC 2002, Lecture Notes in Comput. Sci. 2289, Springer, Berlin, 2002.
-
Proceedings of the 5th International Workshop HSCC 2002, Lecture Notes in Comput. Sci.
, vol.2289
, pp. 2002
-
-
Sethian, J.A.1
Vladimirsky, A.2
-
45
-
-
1942479348
-
Fast sweeping algorithms for a class of Hamilton-Jacobi equations
-
Y.-H.R. Tsai, L.-T. Cheng, S. Osher, and H.-K. Zhao, Fast sweeping algorithms for a class of Hamilton-Jacobi equations, SIAM J. Numer. Anal., 41 (2003), pp. 659-672.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 659-672
-
-
Tsai, Y.-H.R.1
Cheng, L.-T.2
Osher, S.3
Zhao, H.-K.4
-
46
-
-
0028738762
-
Efficient algorithms for globally optimal trajectories, in Proceedings
-
Lake Buena Vista, FL
-
J. N. Tsitsiklis, Efficient algorithms for globally optimal trajectories, in Proceedings, IEEE 33rd Conference on Decision and Control, Lake Buena Vista, FL, 1994, pp. 1368-1373.
-
(1994)
IEEE 33rd Conference on Decision and Control
, pp. 1368-1373
-
-
Tsitsiklis, J.N.1
-
47
-
-
0029373106
-
Efficient algorithms for globally optimal trajectories
-
J. N. Tsitsiklis, Efficient algorithms for globally optimal trajectories, IEEE Trans. Automat. Control, 40 (1995), pp. 1528-1538.
-
(1995)
IEEE Trans. Automat. Control
, vol.40
, pp. 1528-1538
-
-
Tsitsiklis, J.N.1
-
48
-
-
61449153735
-
Label-setting methods for multimode stochastic shortest path problems on graphs
-
A. Vladimirsky, Label-setting methods for multimode stochastic shortest path problems on graphs, Math. Oper. Res., 33 (2008), pp. 821-838.
-
(2008)
Math. Oper. Res.
, vol.33
, pp. 821-838
-
-
Vladimirsky, A.1
-
49
-
-
56149083569
-
Parallel algorithms for the approximation of distance maps on parametric surfaces
-
O. Weber, Y. Devir, A. Bronstein, M. Bronstein, and R. Kimmel, Parallel algorithms for the approximation of distance maps on parametric surfaces, ACMTrans. Graphics, 27 (2008).
-
(2008)
ACMTrans. Graphics
, vol.27
-
-
Weber, O.1
Devir, Y.2
Bronstein, A.3
Bronstein, M.4
Kimmel, R.5
-
50
-
-
29144489240
-
O(N) implementation of the fast marching algorithm
-
DOI 10.1016/j.jcp.2005.08.005, PII S0021999105003736
-
L. Yatziv, A. Bartesaghi, and G. Sapiro, O(N) implementation of the fast marching algorithm, J. Comput. Phys., 212 (2006), pp. 393-399. (Pubitemid 41799930)
-
(2006)
Journal of Computational Physics
, vol.212
, Issue.2
, pp. 393-399
-
-
Yatziv, L.1
Bartesaghi, A.2
Sapiro, G.3
-
51
-
-
85140869490
-
Uniformly accurate discontinuous Galerkin fast sweeping methods for Eikonal equations
-
to appear.
-
Y.-T. Zhang, S. Chen, F. Li, H.-K. Zhao, and C.-W. Shu, Uniformly accurate discontinuous Galerkin fast sweeping methods for Eikonal equations, SIAM J. Sci. Comput., to appear.
-
SIAM J. Sci. Comput.
-
-
Zhang, Y.-T.1
Chen, S.2
Li, F.3
Zhao, H.-K.4
Shu, C.-W.5
-
52
-
-
14944383149
-
Fast sweeping method for Eikonal equations
-
H. K. Zhao, Fast sweeping method for Eikonal equations, Math. Comp., 74 (2005), pp. 603-627.
-
(2005)
Math. Comp.
, vol.74
, pp. 603-627
-
-
Zhao, H.K.1
|