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List of Citations from Science Citation Index for

S. Osher and J. A. Sethian, "Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations," Journal of Computational Physics, 79(1): 12-49, 1988.

  Total citations: 487

As of 28 Jan 2002

By Year - By Citations - By Year with Abstract


  1. CRANDALL, MG, ISHII, H, and LIONS, PL, "USERS GUIDE TO VISCOSITY SOLUTIONS OF 2ND-ORDER PARTIAL- DIFFERENTIAL EQUATIONS," BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 27, pp. 1-67, 1992. (abstract)
    322 citations

  2. EVANS, LC, and SPRUCK, J, "MOTION OF LEVEL SETS BY MEAN-CURVATURE .1.," JOURNAL OF DIFFERENTIAL GEOMETRY, vol. 33, pp. 635-681, 1991. (abstract)
    222 citations

  3. CHEN, YG, GIGA, Y, and GOTO, SI, "UNIQUENESS AND EXISTENCE OF VISCOSITY SOLUTIONS OF GENERALIZED MEAN-CURVATURE FLOW EQUATIONS," JOURNAL OF DIFFERENTIAL GEOMETRY, vol. 33, pp. 749-786, 1991. (abstract)
    194 citations

  4. KOBAYASHI, R, "MODELING AND NUMERICAL SIMULATIONS OF DENDRITIC CRYSTAL-GROWTH," PHYSICA D, vol. 63, pp. 410-423, 1993. (abstract)
    146 citations

  5. ALVAREZ, L, LIONS, PL, and MOREL, JM, "IMAGE SELECTIVE SMOOTHING AND EDGE-DETECTION BY NONLINEAR DIFFUSION .2.," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 29, pp. 845-866, 1992. (abstract)
    145 citations

  6. SUSSMAN, M, SMEREKA, P, and OSHER, S, "A LEVEL SET APPROACH FOR COMPUTING SOLUTIONS TO INCOMPRESSIBLE 2-PHASE FLOW," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 114, pp. 146-159, 1994. (abstract)
    143 citations

  7. RUDIN, LI, OSHER, S, and FATEMI, E, "NONLINEAR TOTAL VARIATION BASED NOISE REMOVAL ALGORITHMS," PHYSICA D, vol. 60, pp. 259-268, 1992. (abstract)
    134 citations

  8. MALLADI, R, SETHIAN, JA, and VEMURI, BC, "SHAPE MODELING WITH FRONT PROPAGATION - A LEVEL SET APPROACH," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 17, pp. 158-175, 1995. (abstract)
    119 citations

  9. SETHIAN, JA, "NUMERICAL ALGORITHMS FOR PROPAGATING INTERFACES - HAMILTON- JACOBI EQUATIONS AND CONSERVATION-LAWS," JOURNAL OF DIFFERENTIAL GEOMETRY, vol. 31, pp. 131-161, 1990. (abstract)
    90 citations

  10. EVANS, LC, SONER, HM, and SOUGANIDIS, PE, "PHASE-TRANSITIONS AND GENERALIZED MOTION BY MEAN-CURVATURE," COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, vol. 45, pp. 1097-1123, 1992. (abstract)
    85 citations

  11. TAYLOR, JE, CAHN, JW, and HANDWERKER, CA, "GEOMETRIC .1. MODELS OF CRYSTAL-GROWTH," ACTA METALLURGICA ET MATERIALIA, vol. 40, pp. 1443-1474, 1992. (abstract)
    79 citations

  12. SAPIRO, G, and TANNENBAUM, A, "AFFINE INVARIANT SCALE-SPACE," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 11, pp. 25-44, 1993. (abstract)
    78 citations

  13. BRONSARD, L, and KOHN, RV, "MOTION BY MEAN-CURVATURE AS THE SINGULAR LIMIT OF GINZBURG- LANDAU DYNAMICS," JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 90, pp. 211-237, 1991. (abstract)
    75 citations

  14. ALVAREZ, L, GUICHARD, F, LIONS, PL, and MOREL, JM, "AXIOMS AND FUNDAMENTAL EQUATIONS OF IMAGE-PROCESSING," ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, vol. 123, pp. 199-257, 1993. (abstract)
    74 citations

  15. OSHER, S, and SHU, CW, "HIGH-ORDER ESSENTIALLY NONOSCILLATORY SCHEMES FOR HAMILTON- JACOBI EQUATIONS," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 28, pp. 907-922, 1991. (abstract)
    71 citations

  16. MULDER, W, OSHER, S, and SETHIAN, JA, "COMPUTING INTERFACE MOTION IN COMPRESSIBLE GAS-DYNAMICS," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 100, pp. 209-228, 1992. (abstract)
    67 citations

  17. KIMIA, BB, TANNENBAUM, AR, and ZUCKER, SW, "SHAPES, SHOCKS, AND DEFORMATIONS .1. THE COMPONENTS OF 2- DIMENSIONAL SHAPE AND THE REACTION-DIFFUSION SPACE," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 15, pp. 189-224, 1995. (abstract)
    64 citations

  18. SETHIAN, JA, and STRAIN, J, "CRYSTAL-GROWTH AND DENDRITIC SOLIDIFICATION," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 98, pp. 231-253, 1992. (abstract)
    63 citations

  19. WIKSWO, JP, WISIALOWSKI, TA, ALTEMEIER, WA, BALSER, JR, KOPELMAN, HA, and RODEN, DM, "VIRTUAL CATHODE EFFECTS DURING STIMULATION OF CARDIAC-MUSCLE - 2-DIMENSIONAL INVIVO EXPERIMENTS," CIRCULATION RESEARCH, vol. 68, pp. 513-530, 1991. (abstract)
    61 citations

  20. CASELLES, V, CATTE, F, COLL, T, and DIBOS, F, "A GEOMETRIC MODEL FOR ACTIVE CONTOURS IN IMAGE-PROCESSING," NUMERISCHE MATHEMATIK, vol. 66, pp. 1-31, 1993. (abstract)
    61 citations

  21. OSHER, S, and RUDIN, LI, "FEATURE-ORIENTED IMAGE-ENHANCEMENT USING SHOCK FILTERS," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 27, pp. 919-940, 1990. (abstract)
    61 citations

  22. BARLES, G, SONER, HM, and SOUGANIDIS, PE, "FRONT PROPAGATION AND PHASE FIELD-THEORY," SIAM JOURNAL ON CONTROL AND OPTIMIZATION, vol. 31, pp. 439-469, 1993. (abstract)
    59 citations

  23. ADALSTEINSSON, D, and SETHIAN, JA, "A FAST LEVEL SET METHOD FOR PROPAGATING INTERFACES," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 118, pp. 269-277, 1995. (abstract)
    56 citations

  24. VANTRIER, J, and SYMES, WW, "UPWIND FINITE-DIFFERENCE CALCULATION OF TRAVELTIMES," GEOPHYSICS, vol. 56, pp. 812-821, 1991. (abstract)
    54 citations

  25. CHOPP, DL, "COMPUTING MINIMAL-SURFACES VIA LEVEL SET CURVATURE FLOW," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 106, pp. 77-91, 1993. (abstract)
    50 citations

  26. Caselles, V, Kimmel, R, and Sapiro, G, "Geodesic active contours," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 22, pp. 61-79, 1997. (abstract)
    49 citations

  27. Chang, YC, Hou, TY, Merriman, B, and Osher, S, "A level set formulation of eulerian interface capturing methods for incompressible fluid flows," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 124, pp. 449-464, 1996. (abstract)
    48 citations

  28. SAPIRO, G, and TANNENBAUM, A, "ON AFFINE PLANE CURVE EVOLUTION," JOURNAL OF FUNCTIONAL ANALYSIS, vol. 119, pp. 79-120, 1994. (abstract)
    47 citations

  29. ASHURST, WT, SIVASHINSKY, GI, and YAKHOT, V, "FLAME FRONT PROPAGATION IN NONSTEADY HYDRODYNAMIC FIELDS," COMBUSTION SCIENCE AND TECHNOLOGY, vol. 62, pp. 273-284, 1988. (abstract)
    40 citations

  30. KARNI, S, "MULTICOMPONENT FLOW CALCULATIONS BY A CONSISTENT PRIMITIVE ALGORITHM," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 112, pp. 31-43, 1994. (abstract)
    40 citations

  31. SONER, HM, "MOTION OF A SET BY THE CURVATURE OF ITS BOUNDARY," JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 101, pp. 313-372, 1993. (abstract)
    37 citations

  32. Yezzi, A, Kichenassamy, S, Kumar, A, Olver, P, and Tannenbaum, A, "A geometric snake model for segmentation of medical imagery," IEEE TRANSACTIONS ON MEDICAL IMAGING, vol. 16, pp. 199-209, 1997. (abstract)
    36 citations

  33. Sethian, JA, "A fast marching level set method for monotonically advancing fronts," PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, vol. 93, pp. 1591-1595, 1996. (abstract)
    36 citations

  34. KIMIA, BB, TANNENBAUM, A, and ZUCKER, SW, "ON THE EVOLUTION OF CURVES VIA A FUNCTION OF CURVATURE .1. THE CLASSICAL CASE," JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 163, pp. 438-458, 1992. (abstract)
    35 citations

  35. Zhao, HK, Chan, T, Merriman, B, and Osher, S, "Variational level set approach to multiphase motion," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 127, pp. 179-195, 1996. (abstract)
    33 citations

  36. HAMAGUCHI, S, DALVIE, M, FAROUKI, RT, and SETHURAMAN, S, "A SHOCK-TRACKING ALGORITHM FOR SURFACE EVOLUTION UNDER REACTIVE-ION ETCHING," JOURNAL OF APPLIED PHYSICS, vol. 74, pp. 5172-5184, 1993. (abstract)
    32 citations

  37. Anderson, DM, McFadden, GB, and Wheeler, AA, "Diffuse-interface methods in fluid mechanics," ANNUAL REVIEW OF FLUID MECHANICS, vol. 30, pp. 139-165, 1998. (abstract)
    31 citations

  38. LARCHE, FC, and CAHN, JW, "PHASE-CHANGES IN A THIN PLATE WITH NONLOCAL SELF-STRESS EFFECTS," ACTA METALLURGICA ET MATERIALIA, vol. 40, pp. 947-955, 1992. (abstract)
    31 citations

  39. Kichenassamy, S, Kumar, A, Olver, P, Tannenbaum, A, and Yezzi, A, "Conformal curvature flows: From phase transitions to active vision," ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, vol. 134, pp. 275-301, 1996. (abstract)
    31 citations

  40. LI, XL, "STUDY OF 3-DIMENSIONAL RAYLEIGH-TAYLOR INSTABILITY IN COMPRESSIBLE FLUIDS THROUGH LEVEL SET METHOD AND PARALLEL COMPUTATION," PHYSICS OF FLUIDS A-FLUID DYNAMICS, vol. 5, pp. 1904-1913, 1993. (abstract)
    30 citations

  41. MERRIMAN, B, BENCE, JK, and OSHER, SJ, "MOTION OF MULTIPLE JUNCTIONS - A LEVEL SET APPROACH," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 112, pp. 334-363, 1994. (abstract)
    29 citations

  42. Chakraborty, A, Staib, LH, and Duncan, JS, "Deformable boundary finding in medical images by integrating gradient and region information," IEEE TRANSACTIONS ON MEDICAL IMAGING, vol. 15, pp. 859-870, 1996. (abstract)
    29 citations

  43. Puckett, EG, Almgren, AS, Bell, JB, Marcus, DL, and Rider, WJ, "A high-order projection method for tracking fluid interfaces in variable density incompressible flows," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 130, pp. 269-282, 1997. (abstract)
    27 citations

  44. ASHURST, WT, and SIVASHINSKY, GI, "ON FLAME PROPAGATION THROUGH PERIODIC-FLOW FIELDS," COMBUSTION SCIENCE AND TECHNOLOGY, vol. 80, pp. 159-164, 1991. (abstract)
    27 citations

  45. ALVAREZ, L, GUICHARD, F, LIONS, PL, and MOREL, JM, "AXIOMS AND NEW OPERATORS OF MATHEMATICAL MORPHOLOGY," COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, vol. 315, pp. 265-268, 1992. (abstract)
    27 citations

  46. ZHU, JY, and SETHIAN, J, "PROJECTION METHODS COUPLED TO LEVEL SET INTERFACE TECHNIQUES," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 102, pp. 128-138, 1992. (abstract)
    24 citations

  47. POPE, SB, YEUNG, PK, and GIRIMAJI, SS, "THE CURVATURE OF MATERIAL-SURFACES IN ISOTROPIC TURBULENCE," PHYSICS OF FLUIDS A-FLUID DYNAMICS, vol. 1, pp. 2010-2018, 1989. (abstract)
    24 citations

  48. You, YL, Xu, WY, Tannenbaum, A, and Kaveh, M, "Behavioral analysis of anisotropic diffusion in image processing," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 5, pp. 1539-1553, 1996. (abstract)
    24 citations

  49. ADALSTEINSSON, D, and SETHIAN, JA, "A LEVEL SET APPROACH TO A UNIFIED MODEL FOR ETCHING, DEPOSITION, AND LITHOGRAPHY .1. ALGORITHMS AND 2-DIMENSIONAL SIMULATIONS," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 120, pp. 128-144, 1995. (abstract)
    24 citations

  50. KEENER, JP, "AN EIKONAL-CURVATURE EQUATION FOR ACTION-POTENTIAL PROPAGATION IN MYOCARDIUM," JOURNAL OF MATHEMATICAL BIOLOGY, vol. 29, pp. 629-651, 1991. (abstract)
    24 citations

  51. SAPIRO, G, KIMMEL, R, SHAKED, D, KIMIA, BB, and BRUCKSTEIN, AM, "IMPLEMENTING CONTINUOUS-SCALE MORPHOLOGY VIA CURVE EVOLUTION," PATTERN RECOGNITION, vol. 26, pp. 1363-1372, 1993. (abstract)
    23 citations

  52. Chen, S, Merriman, B, Osher, S, and Smereka, P, "A simple level set method for solving Stefan problems," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 135, pp. 8-29, 1997. (abstract)
    23 citations

  53. KIMMEL, R, and BRUCKSTEIN, AM, "SHAPE OFFSETS VIA LEVEL SETS," COMPUTER-AIDED DESIGN, vol. 25, pp. 154-162, 1993. (abstract)
    22 citations

  54. Yao, J, and Stewart, DS, "On the dynamics of multi-dimensional detonation," JOURNAL OF FLUID MECHANICS, vol. 309, pp. 225-275, 1996. (abstract)
    22 citations

  55. Sussman, M, and Smereka, P, "Axisymmetric free boundary problems," JOURNAL OF FLUID MECHANICS, vol. 341, pp. 269-294, 1997. (abstract)
    21 citations

  56. KIMMEL, R, AMIR, A, and BRUCKSTEIN, AM, "FINDING SHORTEST PATHS ON SURFACES USING LEVEL SETS PROPAGATION," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 17, pp. 635-640, 1995. (abstract)
    21 citations

  57. SAPIRO, G, and TANNENBAUM, A, "AREA AND LENGTH PRESERVING GEOMETRIC INVARIANT SCALE-SPACES," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 17, pp. 67-72, 1995. (abstract)
    21 citations

  58. Leveque, RJ, and Li, ZL, "Immersed interface methods for Stokes flow with elastic boundaries or surface tension," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 18, pp. 709-735, 1997. (abstract)
    21 citations

  59. Malladi, R, and Sethian, JA, "Image processing: Flows under min/max curvature and mean curvature," GRAPHICAL MODELS AND IMAGE PROCESSING, vol. 58, pp. 127-141, 1996. (abstract)
    19 citations

  60. Ambrosio, L, and Soner, HM, "Level set approach to mean curvature flow in arbitrary codimension," JOURNAL OF DIFFERENTIAL GEOMETRY, vol. 43, pp. 693-737, 1996. (abstract)
    19 citations

  61. ALVAREZ, L, and MAZORRA, L, "SIGNAL AND IMAGE-RESTORATION USING SHOCK FILTERS AND ANISOTROPIC DIFFUSION," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 31, pp. 590-605, 1994. (abstract)
    19 citations

  62. Li, ZL, "A fast iterative algorithm for elliptic interface problems," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 35, pp. 230-254, 1998. (abstract)
    18 citations

  63. KATSOULAKIS, MA, and SOUGANIDIS, PE, "INTERACTING PARTICLE-SYSTEMS AND GENERALIZED EVOLUTION OF FRONTS," ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, vol. 127, pp. 133-157, 1994. (abstract)
    18 citations

  64. Hou, TY, Li, ZL, Osher, S, and Zhao, HK, "A hybrid method for moving interface problems with application to the Hele-Shaw flow," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 134, pp. 236-252, 1997. (abstract)
    18 citations

  65. KIMMEL, R, and BRUCKSTEIN, AM, "TRACKING LEVEL SETS BY LEVEL SETS - A METHOD FOR SOLVING THE SHAPE FROM SHADING PROBLEM," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 62, pp. 47-58, 1995. (abstract)
    18 citations

  66. GIGA, Y, and GOTO, S, "MOTION OF HYPERSURFACES AND GEOMETRIC EQUATIONS," JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, vol. 44, pp. 99-111, 1992. (abstract)
    18 citations

  67. Adalsteinsson, D, and Sethian, JA, "The fast construction of extension velocities in level set methods," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 148, pp. 2-22, 1999. (abstract)
    17 citations

  68. Barth, TJ, and Sethian, JA, "Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 145, pp. 1-40, 1998. (abstract)
    17 citations

  69. BARDI, M, and OSHER, S, "THE NONCONVEX MULTIDIMENSIONAL RIEMANN PROBLEM FOR HAMILTON- JACOBI EQUATIONS," SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 22, pp. 344-351, 1991. (abstract)
    16 citations

  70. Kimia, BB, and Siddiqi, K, "Geometric heat equation and nonlinear diffusion of shapes and images," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 64, pp. 305-322, 1996. (abstract)
    16 citations

  71. ILMANEN, T, "GENERALIZED FLOW OF SETS BY MEAN-CURVATURE ON A MANIFOLD," INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 41, pp. 671-705, 1992. (abstract)
    16 citations

  72. ALDREDGE, RC, "THE PROPAGATION OF WRINKLED PREMIXED FLAMES IN SPATIALLY PERIODIC SHEAR-FLOW," COMBUSTION AND FLAME, vol. 90, pp. 121-133, 1992. (abstract)
    16 citations

  73. ZHU, J, and RONNEY, PD, "SIMULATION OF FRONT PROPAGATION AT LARGE NONDIMENSIONAL FLOW DISTURBANCE INTENSITIES," COMBUSTION SCIENCE AND TECHNOLOGY, vol. 100, pp. 183-201, 1994. (abstract)
    15 citations

  74. Sethian, JA, and Adalsteinsson, D, "An overview of level set methods for etching, deposition, and lithography development," IEEE TRANSACTIONS ON SEMICONDUCTOR MANUFACTURING, vol. 10, pp. 167-184, 1997. (abstract)
    15 citations

  75. Caselles, V, Kimmel, R, and Sapiro, G, "Minimal surfaces based object segmentation," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 19, pp. 394-398, 1997. (abstract)
    15 citations

  76. Sussman, M, Almgren, AS, Bell, JB, Colella, P, Howell, LH, and Welcome, ML, "An adaptive level set approach for incompressible two-phase flows," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 148, pp. 81-124, 1999. (abstract)
    15 citations

  77. BARLES, G, and GEORGELIN, C, "A SIMPLE PROOF OF CONVERGENCE FOR AN APPROXIMATION SCHEME FOR COMPUTING MOTIONS BY MEAN-CURVATURE," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 32, pp. 484-500, 1995. (abstract)
    15 citations

  78. Sethian, JA, "Fast marching methods," SIAM REVIEW, vol. 41, pp. 199-235, 1999. (abstract)
    14 citations

  79. Udaykumar, HS, Kan, HC, Shyy, W, and TranSonTay, R, "Multiphase dynamics in arbitrary geometries on fixed Cartesian grids," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 137, pp. 366-405, 1997. (abstract)
    14 citations

  80. Nochetto, RH, Paolini, M, and Verdi, C, "A dynamic mesh algorithm for curvature dependent evolving interfaces," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 123, pp. 296-310, 1996. (abstract)
    14 citations

  81. SAPIRO, G, and TANNENBAUM, A, "ON INVARIANT CURVE EVOLUTION AND IMAGE-ANALYSIS," INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 42, pp. 985-1009, 1993. (abstract)
    14 citations

  82. ADALSTEINSSON, D, and SETHIAN, JA, "A LEVEL SET APPROACH TO A UNIFIED MODEL FOR ETCHING, DEPOSITION, AND LITHOGRAPHY .2. 3-DIMENSIONAL SIMULATIONS," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 122, pp. 348-366, 1995. (abstract)
    14 citations

  83. LIONS, PL, and SOUGANIDIS, P, "CONVERGENCE OF MUSCL TYPE METHODS FOR SCALAR CONSERVATION-LAWS," COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, vol. 311, pp. 259-264, 1990. (abstract)
    14 citations

  84. BRIO, M, and HUNTER, JK, "MACH REFLECTION FOR THE 2-DIMENSIONAL BURGERS-EQUATION," PHYSICA D, vol. 60, pp. 194-207, 1992. (abstract)
    13 citations

  85. DAVI, F, and GURTIN, ME, "ON THE MOTION OF A PHASE INTERFACE BY SURFACE-DIFFUSION," ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 41, pp. 782-811, 1990. (abstract)
    13 citations

  86. Altschuler, S, Angenent, SB, and Giga, Y, "Mean curvature flow through singularities for surfaces of rotation," JOURNAL OF GEOMETRIC ANALYSIS, vol. 5, pp. 293-358, 1995. (abstract)
    13 citations

  87. Olver, PJ, Sapiro, G, and Tannenbaum, A, "Invariant geometric evolutions of surfaces and volumetric smoothing," SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 57, pp. 176-194, 1997. (abstract)
    13 citations

  88. Malladi, R, Sethian, JA, and Vemuri, BC, "A fast level set based algorithm for topology-independent shape modeling," JOURNAL OF MATHEMATICAL IMAGING AND VISION, vol. 6, pp. 269-289, 1996. (abstract)
    13 citations

  89. Carlson, NN, and Miller, K, "Design and application of a gradient-weighted moving finite element code II: In two dimensions," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 19, pp. 766-798, 1998. (abstract)
    13 citations

  90. Niessen, WJ, Vincken, KL, Weickert, JA, and Viergever, MA, "Nonlinear multiscale representations for image segmentation," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 66, pp. 233-245, 1997. (abstract)
    13 citations

  91. Caselles, V, Morel, JM, Sapiro, G, and Tannenbaum, A, "Introduction to the special issue on partial differential equations and geometry-driven diffusion in image processing and analysis," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 7, pp. 269-273, 1998. (abstract)
    12 citations

  92. MARCUS, DL, and BERGER, SA, "THE INTERACTION BETWEEN A COUNTER-ROTATING VORTEX PAIR IN VERTICAL ASCENT AND A FREE-SURFACE," PHYSICS OF FLUIDS A-FLUID DYNAMICS, vol. 1, pp. 1988-2000, 1989. (abstract)
    12 citations

  93. Litman, A, Lesselier, D, and Santosa, F, "Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set," INVERSE PROBLEMS, vol. 14, pp. 685-706, 1998. (abstract)
    12 citations

  94. MALLADI, R, and SETHIAN, JA, "IMAGE-PROCESSING VIA LEVEL SET CURVATURE FLOW," PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, vol. 92, pp. 7046-7050, 1995. (abstract)
    12 citations

  95. KIMMEL, R, and BRUCKSTEIN, AM, "GLOBAL SHAPE FROM SHADING," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 62, pp. 360-369, 1995. (abstract)
    12 citations

  96. Coward, AV, Renardy, YY, Renardy, M, and Richards, JR, "Temporal evolution of periodic disturbances in two-layer Couette flow," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 132, pp. 346-361, 1997. (abstract)
    12 citations

  97. Kumar, A, Tannenbaum, AR, and Balas, GJ, "Optical flow: A curve evolution approach," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 5, pp. 598-610, 1996. (abstract)
    12 citations

  98. SETHIAN, JA, "CURVATURE FLOW AND ENTROPY CONDITIONS APPLIED TO GRID GENERATION," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 115, pp. 440-454, 1994. (abstract)
    11 citations

  99. Malladi, R, and Sethian, JA, "A unified approach to noise removal, image enhancement, and shape recovery," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 5, pp. 1554-1568, 1996. (abstract)
    11 citations

  100. LeVeque, RJ, and Shyue, KM, "Two-dimensional front tracking based on high resolution wave propagation methods," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 123, pp. 354-368, 1996. (abstract)
    11 citations

  101. Sethian, JA, and Popovici, AM, "3-D traveltime computation using the fast marching method," GEOPHYSICS, vol. 64, pp. 516-523, 1999. (abstract)
    11 citations

  102. EVANS, LC, and SPRUCK, J, "MOTION OF LEVEL SETS BY MEAN-CURVATURE .4.," JOURNAL OF GEOMETRIC ANALYSIS, vol. 5, pp. 77-114, 1995. (abstract)
    11 citations

  103. Cohen, LD, and Kimmel, R, "Global minimum for active contour models: A minimal path approach," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 24, pp. 57-78, 1997. (abstract)
    11 citations

  104. Malladi, R, and Sethian, JA, "An O(N log N) algorithm for shape modeling," PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, vol. 93, pp. 9389-9392, 1996. (abstract)
    11 citations

  105. RHEE, CW, TALBOT, L, and SETHIAN, JA, "DYNAMICAL BEHAVIOR OF A PREMIXED TURBULENT OPEN V-FLAME," JOURNAL OF FLUID MECHANICS, vol. 300, pp. 87-115, 1995. (abstract)
    11 citations

  106. Sussman, M, Fatemi, E, Smereka, P, and Osher, S, "An improved level set method for incompressible two-phase flows," COMPUTERS & FLUIDS, vol. 27, pp. 663-680, 1998. (abstract)
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