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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.

1988: 1  1989: 2  1990: 4  1991: 11  1992: 24  1993: 23  1994: 19  1995: 29  1996: 45  1997: 60  1998: 52  1999: 71  2000: 74  2001: 72  

  Total citations: 487

As of 28 Jan 2002

By Year - By Citations - By Year with Abstract

 
1988

  1. 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)

 
1989

  1. 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)

  2. 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)

 
1990

  1. 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)

  2. 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)

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

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

 
1991

  1. LAFON, F, and OSHER, S, "HIGH-ORDER FILTERING METHODS FOR APPROXIMATING HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 96, pp. 110-142, 1991. (abstract)

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

  3. 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)

  4. 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)

  5. YANG, WH, "A DUALITY THEOREM FOR PLASTIC TORSION," INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 27, pp. 1981-1989, 1991. (abstract)

  6. 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)

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

  8. 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)

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

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

  11. 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)

 
1992

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

  2. CHEN, XF, "GENERATION AND PROPAGATION OF INTERFACES IN REACTION-DIFFUSION SYSTEMS," TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 334, pp. 877-913, 1992. (abstract)

  3. 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)

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

  5. 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)

  6. 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)

  7. GURTIN, ME, and SONER, HM, "SOME REMARKS ON THE STEFAN PROBLEM WITH SURFACE-STRUCTURE," QUARTERLY OF APPLIED MATHEMATICS, vol. 50, pp. 291-303, 1992. (abstract)

  8. 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)

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

  10. 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)

  11. 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)

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

  13. KANSA, EJ, "A STRICTLY CONSERVATIVE SPATIAL APPROXIMATION SCHEME FOR THE GOVERNING ENGINEERING AND PHYSICS EQUATIONS OVER IRREGULAR REGIONS AND INHOMOGENEOUSLY SCATTERED NODES," COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 24, pp. 169-190, 1992. (abstract)

  14. DICARLO, A, GURTIN, ME, and PODIOGUIDUGLI, P, "A REGULARIZED EQUATION FOR ANISOTROPIC MOTION-BY-CURVATURE," SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 52, pp. 1111-1119, 1992. (abstract)

  15. 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)

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

  17. BREWSTER, ME, "STATIONARY PREMIXED FLAMES IN A DUAL-SOURCE SYSTEM," COMBUSTION AND FLAME, vol. 91, pp. 99-105, 1992. (abstract)

  18. 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)

  19. DAVIS, SF, "AN INTERFACE TRACKING METHOD FOR HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS," APPLIED NUMERICAL MATHEMATICS, vol. 10, pp. 447-472, 1992. (abstract)

  20. WU, MS, and DRISCOLL, JF, "A NUMERICAL-SIMULATION OF A VORTEX CONVECTED THROUGH A LAMINAR PREMIXED FLAME," COMBUSTION AND FLAME, vol. 91, pp. 310-322, 1992. (abstract)

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

  22. FRANZONE, PC, and GUERRI, L, "MODELS OF THE SPREADING OF EXCITATION IN MYOCARDIAL TISSUE," CRITICAL REVIEWS IN BIOMEDICAL ENGINEERING, vol. 20, pp. 211-253, 1992. (abstract)

  23. ALVAREZ, L, GUICHARD, F, LIONS, PL, and MOREL, JM, "FUNDAMENTAL EQUATIONS OF MULTISCALE ANALYSIS OF MOVIES," COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, vol. 315, pp. 1145-1148, 1992. (abstract)

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

 
1993

  1. ROBERTS, S, "A LINE ELEMENT ALGORITHM FOR CURVE FLOW PROBLEMS IN THE PLANE," JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, vol. 35, pp. 244-261, 1993. (abstract)

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

  3. FRANZONE, PC, and GUERRI, L, "SPREADING OF EXCITATION IN 3-D MODELS OF THE ANISOTROPIC CARDIAC TISSUE .1. VALIDATION OF THE EIKONAL MODEL," MATHEMATICAL BIOSCIENCES, vol. 113, pp. 145-209, 1993. (abstract)

  4. OLIKER, VI, and URALTSEVA, NN, "EVOLUTION OF NONPARAMETRIC SURFACES WITH SPEED DEPENDING ON CURVATURE .2. THE MEAN-CURVATURE CASE," COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, vol. 46, pp. 97-135, 1993. (abstract)

  5. IKEDA, T, and MIMURA, M, "AN INTERFACIAL APPROACH TO REGIONAL SEGREGATION OF 2 COMPETING SPECIES MEDIATED BY A PREDATOR," JOURNAL OF MATHEMATICAL BIOLOGY, vol. 31, pp. 215-240, 1993. (abstract)

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

  7. 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)

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

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

  10. HARABETIAN, E, "PROPAGATION OF SINGULARITIES, HAMILTON-JACOBI EQUATIONS AND NUMERICAL APPLICATIONS," TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 337, pp. 59-71, 1993. (abstract)

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

  12. CLARKE, JF, KARNI, S, QUIRK, JJ, ROE, PL, SIMMONDS, LG, and TORO, EF, "NUMERICAL COMPUTATION OF 2-DIMENSIONAL UNSTEADY DETONATION- WAVES IN HIGH-ENERGY SOLIDS," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 106, pp. 215-233, 1993. (abstract)

  13. SNEYD, J, and ATRI, A, "CURVATURE DEPENDENCE OF A MODEL FOR CALCIUM WAVE-PROPAGATION," PHYSICA D, vol. 65, pp. 365-372, 1993. (abstract)

  14. 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)

  15. MOSCO, U, "SOME VARIATIONAL ASPECTS OF DISCONTINUOUS MEDIA," BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, vol. 7A, pp. 149-198, 1993. (abstract)

  16. OSHER, S, "A LEVEL SET FORMULATION FOR THE SOLUTION OF THE DIRICHLET PROBLEM FOR HAMILTON-JACOBI EQUATIONS," SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 24, pp. 1145-1152, 1993. (abstract)

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

  18. 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)

  19. VASSILICOS, JC, and HUNT, JCR, "TURBULENT FLAMELET PROPAGATION," COMBUSTION SCIENCE AND TECHNOLOGY, vol. 87, pp. 291-327, 1993. (abstract)

  20. EVANS, LC, "CONVERGENCE OF AN ALGORITHM FOR MEAN-CURVATURE MOTION," INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 42, pp. 533-557, 1993. (abstract)

  21. 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)

  22. 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)

  23. 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)

 
1994

  1. 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)

  2. SOILLE, P, "GENERALIZED GEODESY VIA GEODESIC TIME," PATTERN RECOGNITION LETTERS, vol. 15, pp. 1235-1240, 1994. (abstract)

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

  4. WESTERBERG, KW, WIKLOF, C, and FINLAYSON, BA, "TIME-DEPENDENT FINITE-ELEMENT MODELS OF PHASE-CHANGE PROBLEMS WITH MOVING HEAT-SOURCES," NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, vol. 25, pp. 119-143, 1994. (abstract)

  5. 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)

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

  7. 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)

  8. YU, KM, SUNG, CJ, and LAW, CK, "SOME ASPECTS OF THE FREELY PROPAGATING PREMIXED FLAME IN A SPATIALLY PERIODIC-FLOW FIELD," COMBUSTION AND FLAME, vol. 97, pp. 375-383, 1994. (abstract)

  9. KIMURA, M, "ACCURATE NUMERICAL SCHEME FOR THE FLOW BY CURVATURE," APPLIED MATHEMATICS LETTERS, vol. 7, pp. 69-73, 1994. (abstract)

  10. SORAVIA, P, "GENERALIZED MOTION OF A FRONT PROPAGATING ALONG ITS NORMAL DIRECTION - A DIFFERENTIAL-GAMES APPROACH," NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol. 22, pp. 1247-1262, 1994. (abstract)

  11. LI, HS, "NUMERICAL-SIMULATION OF THE INSTABILITY OF AN INVISCID LIQUID JET IN A COFLOWING COMPRESSIBLE AIRSTREAM," COMPUTERS & FLUIDS, vol. 23, pp. 853-880, 1994. (abstract)

  12. 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)

  13. HOPPE, J, "SURFACE MOTIONS AND FLUID-DYNAMICS," PHYSICS LETTERS B, vol. 335, pp. 41-44, 1994. (abstract)

  14. ILMANEN, T, "ELLIPTIC REGULARIZATION AND PARTIAL REGULARITY FOR MOTION BY MEAN-CURVATURE," MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 108, pp. R3-&, 1994. (abstract)

  15. FALCONE, M, GIORGI, T, and LORETI, P, "LEVEL SETS OF VISCOSITY SOLUTIONS - SOME APPLICATIONS TO FRONTS AND RENDEZVOUS PROBLEMS," SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 54, pp. 1335-1354, 1994. (abstract)

  16. MCELIGOT, J, and MCELIGOT, DM, "PERSPECTIVE - SOME RESEARCH NEEDS IN CONVECTIVE HEAT-TRANSFER FOR INDUSTRY," JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, vol. 116, pp. 398-404, 1994. (abstract)

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

  19. BREWSTER, ME, "STATIONARY SELF-PROPAGATING FRONTS IN POTENTIAL FLOW," PHYSICA D, vol. 79, pp. 306-319, 1994. (abstract)

 
1995

  1. 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)

  2. Bruckstein, AM, Sapiro, G, and Shaked, D, "Evolutions of planar polygons," INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE, vol. 9, pp. 991-1014, 1995. (abstract)

  3. 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)

  4. 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)

  5. LIONS, PL, and SOUGANIDIS, PE, "CONVERGENCE OF MUSCL AND FILTERED SCHEMES FOR SCALAR CONSERVATION-LAWS AND HAMILTON-JACOBI EQUATIONS," NUMERISCHE MATHEMATIK, vol. 69, pp. 441-470, 1995. (abstract)

  6. NAKAYAMA, K, HOPPE, J, and WADATI, M, "ON THE LEVEL-SET FORMULATION OF GEOMETRICAL MODELS," JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, vol. 64, pp. 403-407, 1995. (abstract)

  7. KIMMEL, R, and SAPIRO, G, "SHORTENING 3-DIMENSIONAL CURVES VIA 2-DIMENSIONAL FLOWS," COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 29, pp. 49-62, 1995. (abstract)

  8. 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)

  9. CORRIAS, L, FALCONE, M, and NATALINI, R, "NUMERICAL SCHEMES FOR CONSERVATION LAWS VIA HAMILTON-JACOBI EQUATIONS," MATHEMATICS OF COMPUTATION, vol. 64, pp. 555-580, 1995. (abstract)

  10. 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. SAPIRO, G, and BRUCKSTEIN, AM, "THE UBIQUITOUS ELLIPSE," ACTA APPLICANDAE MATHEMATICAE, vol. 38, pp. 149-161, 1995. (abstract)

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

  13. 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)

  14. GURTIN, ME, SONER, HM, and SOUGANIDIS, PE, "ANISOTROPIC MOTION OF AN INTERFACE RELAXED BY THE FORMATION OF INFINITESIMAL WRINKLES," JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 119, pp. 54-108, 1995. (abstract)

  15. 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)

  16. 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)

  17. KATSOULAKIS, M, KOSSIORIS, GT, and REITICH, F, "GENERALIZED MOTION BY MEAN-CURVATURE WITH NEUMANN CONDITIONS AND THE ALLEN-CAHN MODEL FOR PHASE-TRANSITIONS," JOURNAL OF GEOMETRIC ANALYSIS, vol. 5, pp. 255-279, 1995. (abstract)

  18. 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)

  19. 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)

  20. COLLINS, LR, "SPECTRAL-ANALYSIS OF A SIMULATED PREMIXED FLAME SURFACE IN 2 DIMENSIONS," COMPUTERS & FLUIDS, vol. 24, pp. 663-683, 1995. (abstract)

  21. RICHARDS, JR, BARIS, AN, and LENHOFF, AM, "DROP FORMATION IN LIQUID-LIQUID SYSTEMS BEFORE AND AFTER JETTING," PHYSICS OF FLUIDS, vol. 7, pp. 2617-2630, 1995. (abstract)

  22. KIMMEL, R, SIDDIQI, K, KIMIA, BB, and BRUCKSTEIN, AM, "SHAPE FROM SHADING - LEVEL SET PROPAGATION AND VISCOSITY SOLUTIONS," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 16, pp. 107-133, 1995. (abstract)

  23. 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)

  24. KIMMEL, R, SHAKED, D, KIRYATI, N, and BRUCKSTEIN, AM, "SKELETONIZATION VIA DISTANCE MAPS AND LEVEL SETS," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 62, pp. 382-391, 1995. (abstract)

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

  26. PAUWELS, EJ, FIDDELAERS, P, and VANGOOL, LJ, "ENHANCEMENT OF PLANAR SHAPE THROUGH OPTIMIZATION OF FUNCTIONALS FOR CURVES," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 17, pp. 1101-1105, 1995. (abstract)

  27. CATTE, F, DIBOS, F, and KOEPFLER, G, "A MORPHOLOGICAL SCHEME FOR MEAN-CURVATURE MOTION AND APPLICATIONS TO ANISOTROPIC DIFFUSION AND MOTION OF LEVEL SETS," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 32, pp. 1895-1909, 1995. (abstract)

  28. 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)

  29. ANGENENT, S, ILMANEN, T, and CHOPP, DL, "A COMPUTED EXAMPLE OF NONUNIQUENESS OF MEAN-CURVATURE FLOW IN R(3)," COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, vol. 20, pp. 1937-1958, 1995. (abstract)

 
1996

  1. Calabi, E, Olver, PJ, and Tannenbaum, A, "Affine geometry, curve flows, and invariant numerical approximations," ADVANCES IN MATHEMATICS, vol. 124, pp. 154-196, 1996. (abstract)

  2. Baillot, F, Bourehla, A, and Durox, D, "The characteristics method and cusped flame fronts," COMBUSTION SCIENCE AND TECHNOLOGY, vol. 112, pp. 327-350, 1996. (abstract)

  3. 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)

  4. 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)

  5. Lafon, F, and Osher, S, "High order two dimensional nonoscillatory methods for solving Hamilton-Jacobi scalar equations," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 123, pp. 235-253, 1996. (abstract)

  6. Mulholland, AJ, and Gomatam, J, "The eikonal approximation to excitable reaction-diffusion systems: Travelling non-planar wave fronts on the plane," PHYSICA D, vol. 89, pp. 329-345, 1996. (abstract)

  7. 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)

  8. Pnueli, Y, and Bruckstein, AM, "Gridless halftoning: A reincarnation of the old method," GRAPHICAL MODELS AND IMAGE PROCESSING, vol. 58, pp. 38-64, 1996. (abstract)

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

  10. Helenbrook, BT, Sung, CJ, Law, CK, and Ashurst, WT, "On stretch-affected flame propagation in vortical flows," COMBUSTION AND FLAME, vol. 104, pp. 460-468, 1996. (abstract)

  11. 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)

  12. Sackinger, PA, Schunk, PR, and Rao, RR, "A newton-raphson pseudo-solid domain mapping technique for free and moving boundary problems: A finite element implementation," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 125, pp. 83-103, 1996. (abstract)

  13. 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)

  14. 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)

  15. Maragos, P, "Differential morphology and image processing," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 5, pp. 922-937, 1996. (abstract)

  16. Aldredge, RC, "Premixed flame propagation in a high-intensity, large-scale vortical flow," COMBUSTION AND FLAME, vol. 106, pp. 29-40, 1996. (abstract)

  17. Evans, LC, "A geometric interpretation of the heat equation with multivalued initial data," SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 27, pp. 932-958, 1996. (abstract)

  18. Aslam, TD, Bdzil, JB, and Stewart, DS, "Level set methods applied to modeling detonation shock dynamics," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 126, pp. 390-409, 1996. (abstract)

  19. Li, XL, Jin, BX, and Glimm, J, "Numerical study for the three-dimensional Rayleigh-Taylor instability through the TVD/AC scheme and parallel computation," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 126, pp. 343-355, 1996. (abstract)

  20. Caselles, V, and Sbert, C, "What is the best causal scale space for three-dimensional images?," SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 56, pp. 1199-1246, 1996. (abstract)

  21. Nochetto, RH, and Verdi, C, "Combined effect of explicit time-stepping and quadrature for curvature driven flows," NUMERISCHE MATHEMATIK, vol. 74, pp. 105-136, 1996. (abstract)

  22. Corrias, L, "Fast Legendre-Fenchel transform and applications to Hamilton- Jacobi equations and conservation laws," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 33, pp. 1534-1558, 1996. (abstract)

  23. 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)

  24. Harabetian, E, Osher, S, and Shu, CW, "An eulerian approach for vortex motion using a level set regularization procedure," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 127, pp. 15-26, 1996. (abstract)

  25. 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)

  26. Kimmel, R, Kiryati, N, and Bruckstein, AM, "Sub-pixel distance maps and weighted distance transforms," JOURNAL OF MATHEMATICAL IMAGING AND VISION, vol. 6, pp. 223-233, 1996. (abstract)

  27. Soravia, P, and Souganidis, PE, "Phase-field theory for Fitzhugh-Nagumo-type systems," SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 27, pp. 1341-1359, 1996. (abstract)

  28. 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)

  29. Fierro, F, and Paolini, M, "Numerical evidence of fattening for the mean curvature flow," MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, vol. 6, pp. 793-813, 1996. (abstract)

  30. Sung, CJ, Sun, CJ, and Law, CK, "Analytic description of the evolution of two-dimensional flame surfaces," COMBUSTION AND FLAME, vol. 107, pp. 114-124, 1996. (abstract)

  31. Tannenbaum, A, "Three snippets of curve evolution theory in computer vision," MATHEMATICAL AND COMPUTER MODELLING, vol. 24, pp. 103-119, 1996. (abstract)

  32. 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)

  33. 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)

  34. 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)

  35. 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)

  36. Falcone, M, and Lanucara, P, "Parallel algorithms for Hamilton-Jacobi equations," ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, vol. 76, pp. 355-358, 1996. (abstract)

  37. Schwendeman, DW, "A front dynamics approach to curvature-dependent flow," SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 56, pp. 1523-1538, 1996. (abstract)

  38. 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)

  39. 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)

  40. Crandall, MG, and Lions, PL, "Convergent difference schemes for nonlinear parabolic equations and mean curvature motion," NUMERISCHE MATHEMATIK, vol. 75, pp. 17-41, 1996. (abstract)

  41. Caselles, V, and Coll, B, "Snakes in movement," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 33, pp. 2445-2456, 1996. (abstract)

  42. Walkington, NJ, "Algorithms for computing motion by mean curvature," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 33, pp. 2215-2238, 1996. (abstract)

  43. Kimmel, R, and Kiryati, N, "Finding the shortest paths on surfaces by fast global approximation and precise local refinement," INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE, vol. 10, pp. 643-656, 1996. (abstract)

  44. Alikakos, ND, Fusco, G, and Kowalczyk, M, "Finite dimensional dynamics and interfaces intersecting the boundary: Equilibria and quasi-invariant manifold," INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 45, pp. 1119-1155, 1996. (abstract)

  45. McAuliffe, MJ, Eberly, D, Fritsch, DS, Chaney, EL, and Pizer, SM, "Scale-space boundary evolution initialized by cores," VISUALIZATION IN BIOMEDICAL COMPUTING, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1131, pp. 173-182, 1996. (abstract)

 
1997

  1. 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)

  2. Sapiro, G, Cohen, A, and Bruckstein, AM, "A subdivision scheme for continuous-scale B-splines and affine- invariant progressive smoothing," JOURNAL OF MATHEMATICAL IMAGING AND VISION, vol. 7, pp. 23-40, 1997. (abstract)

  3. Miller, K, "A geometrical-mechanical interpretation of gradient-weighted moving finite elements," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 34, pp. 67-90, 1997. (abstract)

  4. Shu, CW, "Uniformly high order essentially non-oscillatory schemes .3. Preface," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 131, pp. 1-2, 1997. (abstract)

  5. 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)

  6. Catte, F, "Convergence of iterated affine and morphological filters by nonlinear semigroup theory," NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol. 28, pp. 1935-1942, 1997. (abstract)

  7. Niessen, WJ, Romeny, BMT, Florack, LMJ, and Viergever, MA, "A general framework for geometry-driven evolution equations," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 21, pp. 187-205, 1997. (abstract)

  8. HajHariri, H, Shi, Q, and Borhan, A, "Thermocapillary motion of deformable drops at finite Reynolds and Marangoni numbers," PHYSICS OF FLUIDS, vol. 9, pp. 845-855, 1997. (abstract)

  9. Tek, H, and Kimia, BB, "Volumetric segmentation of medical images by three-dimensional bubbles," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 65, pp. 246-258, 1997. (abstract)

  10. Faugeras, O, and Keriven, R, "Level set methods and the stereo problem," SCALE-SPACE THEORY IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1252, pp. 272-283, 1997. (abstract)

  11. 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)

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

  13. Sethian, JA, "Tracking interfaces with level sets," AMERICAN SCIENTIST, vol. 85, pp. 254-263, 1997. (abstract)

  14. Nochetto, RH, and Verdi, C, "Convergence past singularities for a fully discrete approximation of curvature-driven interfaces," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 34, pp. 490-512, 1997. (abstract)

  15. Sapiro, G, and Caselles, V, "Histogram modification via differential equations," JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 135, pp. 238-268, 1997. (abstract)

  16. 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)

  17. 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)

  18. Fejes, S, and Rosenfeld, A, "Discrete active models and applications," PATTERN RECOGNITION, vol. 30, pp. 817-835, 1997. (abstract)

  19. 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)

  20. Caselles, V, Coll, B, and Morel, JM, "Scale space versus topographic map for natural images," SCALE-SPACE THEORY IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1252, pp. 29-49, 1997. (abstract)

  21. Denet, B, "A Lagrangian method to simulate turbulent flames with reconnections," COMBUSTION SCIENCE AND TECHNOLOGY, vol. 123, pp. 247-260, 1997. (abstract)

  22. 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)

  23. 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)

  24. Okatani, T, and Deguchi, K, "Shape reconstruction from an endoscope image by shape from shading technique for a point light source at the projection center," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 66, pp. 119-131, 1997. (abstract)

  25. Frankel, ML, "Turbulent fronts and self-fractalizing ornaments generated by an interface dynamics equation," INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol. 7, pp. 239-252, 1997. (abstract)

  26. Kimmel, R, "Intrinsic scale space for images on surfaces: The geodesic curvature flow," SCALE-SPACE THEORY IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1252, pp. 212-223, 1997. (abstract)

  27. Xu, K, "BGK-based scheme for multicomponent flow calculations," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 134, pp. 122-133, 1997. (abstract)

  28. Papalexandris, MV, Leonard, A, and Dimotakis, PE, "Unsplit schemes for hyperbolic conservation laws with source terms in one space dimension," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 134, pp. 31-61, 1997. (abstract)

  29. Granier, B, Lerat, A, and Wu, ZN, "An implicit centered scheme for steady and unsteady incompressible one and two-phase flows," COMPUTERS & FLUIDS, vol. 26, pp. 373-393, 1997. (abstract)

  30. Katsoulakis, MA, and Souganidis, PE, "Stochastic Ising models and anisotropic front propagation," JOURNAL OF STATISTICAL PHYSICS, vol. 87, pp. 63-89, 1997. (abstract)

  31. Xiao, F, Yabe, T, Ito, T, and Tajima, M, "An algorithm for simulating solid objects suspended in stratified flow," COMPUTER PHYSICS COMMUNICATIONS, vol. 102, pp. 147-160, 1997. (abstract)

  32. Li, ZL, "Immersed interface methods for moving interface problems," NUMERICAL ALGORITHMS, vol. 14, pp. 269-293, 1997. (abstract)

  33. Lindeberg, T, and Garding, J, "Shape-adapted smoothing in estimation of 3-D shape cues from affine deformations of local 2-D brightness structure," IMAGE AND VISION COMPUTING, vol. 15, pp. 415-434, 1997. (abstract)

  34. 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)

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

  36. 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)

  37. Kowalczyk, M, "Exponentially stow dynamics and interfaces intersecting the boundary," JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 138, pp. 55-85, 1997. (abstract)

  38. Jin, S, and Katsoulakis, MA, "Relaxation approximations to front propagation," JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 138, pp. 380-387, 1997. (abstract)

  39. Hsiau, ZK, Kan, EC, McVittie, JP, and Dutton, RW, "Robust, stable, and accurate boundary movement for physical etching and deposition simulation," IEEE TRANSACTIONS ON ELECTRON DEVICES, vol. 44, pp. 1375-1385, 1997. (abstract)

  40. Glimm, J, Kranzer, HC, Tan, D, and Tangerman, FM, "Wave fronts for Hamilton-Jacobi equations: The general theory for Riemann solutions in R-n," COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 187, pp. 647-677, 1997. (abstract)

  41. 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)

  42. Kimmel, R, Kiryati, N, and Bruckstein, AM, "Analyzing and synthesizing images by evolving curves with the Osher-Sethian method," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 24, pp. 37-55, 1997. (abstract)

  43. Bellettini, G, "Some results on minimal barriers for geometric movements of sets," BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, vol. 11A, pp. 485-512, 1997. (abstract)

  44. Li, XL, and Zhang, Q, "A comparative numerical study of the Richtmyer-Meshkov instability with nonlinear analysis in two and three dimensions," PHYSICS OF FLUIDS, vol. 9, pp. 3069-3077, 1997. (abstract)

  45. Caselles, V, Kimmel, R, Sapiro, G, and Sbert, C, "Minimal surfaces: a geometric three dimensional segmentation approach," NUMERISCHE MATHEMATIK, vol. 77, pp. 423-451, 1997. (abstract)

  46. Jayaraman, V, Udaykumar, HS, and Shyy, WS, "Adaptive unstructured grid for three-dimensional interface representation," NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, vol. 32, pp. 247-265, 1997. (abstract)

  47. Ulitsky, M, and Collins, LR, "Application of the eddy damped quasi-normal Markovian spectral transport theory to premixed turbulent flame propagation," PHYSICS OF FLUIDS, vol. 9, pp. 3410-3430, 1997. (abstract)

  48. 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)

  49. Alvarez, L, and Morales, F, "Affine morphological multiscale analysis of corners and multiple junctions," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 25, pp. 95-107, 1997. (abstract)

  50. Sapiro, G, "Color snakes," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 68, pp. 247-253, 1997. (abstract)

  51. Kimmel, R, "Intrinsic scale space for images on surfaces: The geodesic curvature flow," GRAPHICAL MODELS AND IMAGE PROCESSING, vol. 59, pp. 365-372, 1997. (abstract)

  52. Siddiqi, K, Kimia, BB, and Shu, CW, "Geometric shock-capturing ENO schemes for subpixel interpolation, computation and curve evolution," GRAPHICAL MODELS AND IMAGE PROCESSING, vol. 59, pp. 278-301, 1997. (abstract)

  53. Adalsteinsson, D, and Sethian, JA, "A level set approach to a unified model for etching, deposition, and lithography .3. Redeposition, reemission, surface diffusion, and complex simulations," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 138, pp. 193-223, 1997. (abstract)

  54. Ansorge, R, and Sonar, T, "Information loss, abstract entropy and mathematical description of the second law of thermodynamics," ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, vol. 77, pp. 803-821, 1997. (abstract)

  55. Aldredge, RC, "A flux-limiting scheme for solution of the eikonal evolution equation," INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, vol. 24, pp. 1171-1176, 1997. (abstract)

  56. Aldredge, RC, "An analytical model for flame propagation in low-Mach-number, variable-density flow," INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, vol. 24, pp. 1163-1169, 1997. (abstract)

  57. Carmel, E, and Cohen-Or, D, "Warp-guided object-space morphing," VISUAL COMPUTER, vol. 13, pp. 465-478, 1997. (abstract)

  58. McLaughlin, RM, and Zhu, JY, "The effect of finite front thickness on the enhanced speed of propagation," COMBUSTION SCIENCE AND TECHNOLOGY, vol. 129, pp. 89-112, 1997. (abstract)

  59. Souganidis, PE, "Front propagation: Theory and applications," VISCOSITY SOLUTIONS AND APPLICATIONS, LECTURE NOTES IN MATHEMATICS, vol. 1660, pp. 186-242, 1997. (abstract)

  60. Sapiro, G, and Caselles, V, "Contrast enhancement via image evolution flows," GRAPHICAL MODELS AND IMAGE PROCESSING, vol. 59, pp. 407-416, 1997. (abstract)

 
1998

  1. Gundlach, C, "Pseudospectral apparent horizon finders: An efficient new algorithm," PHYSICAL REVIEW D, vol. 57, pp. 863-875, 1998. (abstract)

  2. Franzone, PC, Guerri, L, Pennacchio, M, and Taccardi, B, "Spread of excitation in 3-D models of the anisotropic cardiac tissue. II. Effects of fiber architecture and ventricular geometry," MATHEMATICAL BIOSCIENCES, vol. 147, pp. 131-171, 1998. (abstract)

  3. Lorigo, LM, Faugeras, O, Grimson, WEL, Keriven, R, and Kikinis, R, "Segmentation of bone in clinical knee MRI using texture-based geodesic active contours," MEDICAL IMAGE COMPUTING AND COMPUTER-ASSISTED INTERVENTION - MICCAI'98, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1496, pp. 1195-1204, 1998. (abstract)

  4. Jain, AK, Zhong, Y, and Dubuisson-Jolly, MP, "Deformable template models: A review," SIGNAL PROCESSING, vol. 71, pp. 109-129, 1998. (abstract)

  5. Gyure, MF, Ratsch, C, Merriman, B, Caflisch, RE, Osher, S, Zinck, JJ, and Vvedensky, DD, "Level-set methods for the simulation of epitaxial phenomena," PHYSICAL REVIEW E, vol. 58, pp. R6927-R6930, 1998. (abstract)

  6. Li, J, Renardy, YY, and Renardy, M, "A numerical study of periodic disturbances on two-layer Couette flaw," PHYSICS OF FLUIDS, vol. 10, pp. 3056-3071, 1998. (abstract)

  7. Jia, W, "An accurate semi-Lagrangian scheme designed for incompressible Navier-Stokes equations written in generalized coordinates," TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, vol. 41, pp. 105-117, 1998. (abstract)

  8. Niessen, WJ, Romeny, BMT, and Viergever, MA, "Geodesic deformable models for medical image analysis," IEEE TRANSACTIONS ON MEDICAL IMAGING, vol. 17, pp. 634-641, 1998. (abstract)

  9. Whitaker, RT, "A level-set approach to 3D reconstruction from range data," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 29, pp. 203-231, 1998. (abstract)

  10. Lowengrub, J, and Truskinovsky, L, "Quasi-incompressible Cahn-Hilliard fluids and topological transitions," PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A- MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 454, pp. 2617-2654, 1998. (abstract)

  11. Ishii, K, and Soner, HM, "Regularity and convergence of crystalline motion," SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 30, pp. 19-37, 1998. (abstract)

  12. Li, CL, and Cheng, YY, "Inversion of a homogeneous cylinder of arbitrary shape by genetic algorithm and shape mutation," MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, vol. 19, pp. 188-192, 1998. (abstract)

  13. Lock, N, Jaeger, M, Medale, M, and Occelli, R, "Local mesh adaptation technique for front tracking problems," INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, vol. 28, pp. 719-736, 1998. (abstract)

  14. 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)

  15. Harabetian, E, and Osher, S, "Regularization of ill-posed problems via the level set approach," SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 58, pp. 1689-1706, 1998. (abstract)

  16. Zhai, J, "Heat flow with tangent penalisation converging to mean curvature motion," PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A- MATHEMATICS, vol. 128, pp. 875-894, 1998. (abstract)

  17. Xiao, F, and Ebisuzaki, T, "An efficient numerical model for multi-phase fluid dynamics," ADVANCES IN ENGINEERING SOFTWARE, vol. 29, pp. 345-352, 1998. (abstract)

  18. Ruuth, SJ, "Efficient algorithms for diffusion-generated motion by mean curvature," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 144, pp. 603-625, 1998. (abstract)

  19. Kawata, Y, Niki, N, Ohmatsu, H, Kakinuma, R, Eguchi, K, Kaneko, M, and Moriyama, N, "Quantitative surface characterization of pulmonary nodules based on thin-section CT images," IEEE TRANSACTIONS ON NUCLEAR SCIENCE, vol. 45, pp. 2132-2138, 1998. (abstract)

  20. Qian, J, Tryggvason, G, and Law, CK, "A front tracking method for the motion of premixed flames," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 144, pp. 52-69, 1998. (abstract)

  21. Canic, S, and Mirkovic, D, "A numerical study of Riemann problems for the two-dimensional unsteady transonic small disturbance equation," SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 58, pp. 1365-1393, 1998. (abstract)

  22. Gunther, J, Thomas, EL, Clingman, S, and Ober, CK, "Curvature driven relaxation of disclination loops in liquid crystals," POLYMER, vol. 39, pp. 4497-4503, 1998. (abstract)

  23. Sharp, NG, and Hancock, ER, "Density propagation for surface tracking," PATTERN RECOGNITION LETTERS, vol. 19, pp. 177-188, 1998. (abstract)

  24. Zhang, H, Zheng, LL, Prasad, Y, and Hou, TY, "A curvilinear level set formulation for highly deformable free surface problems with application to solidification," NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, vol. 34, pp. 1-20, 1998. (abstract)

  25. Rougon, N, and Preteux, F, "Directional adaptive deformable models for segmentation," JOURNAL OF ELECTRONIC IMAGING, vol. 7, pp. 231-256, 1998. (abstract)

  26. Zhao, HK, Merriman, B, Osher, S, and Wang, L, "Capturing the behavior of bubbles and drops using the variational level set approach," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 143, pp. 495-518, 1998. (abstract)

  27. 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)

  28. Angenent, S, Sapiro, G, and Tannenbaum, A, "On the affine heat equation for non-convex curves," JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 11, pp. 601-634, 1998. (abstract)

  29. 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)

  30. Kimmel, R, Kiryati, N, and Bruckstein, AM, "Multivalued distance maps for motion planning on surfaces with moving obstacles," IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, vol. 14, pp. 427-436, 1998. (abstract)

  31. Shyue, KM, "An efficient shock-capturing algorithm for compressible multicomponent problems," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 142, pp. 208-242, 1998. (abstract)

  32. Steiner, A, Kimmel, R, and Bruckstein, AM, "Planar shape enhancement and exaggeration," GRAPHICAL MODELS AND IMAGE PROCESSING, vol. 60, pp. 112-124, 1998. (abstract)

  33. King, MJ, and Datta-Gupta, A, "Streamline simulation: A current perspective," IN SITU, vol. 22, pp. 91-140, 1998. (abstract)

  34. 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)

  35. Welch, SWJ, "Direct simulation of vapor bubble growth," INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, vol. 41, pp. 1655-1666, 1998. (abstract)

  36. Visintin, A, "Introduction to the models of phase transitions.," BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, vol. 1B, pp. 1-47, 1998. (abstract)

  37. Verdi, C, "Numerical methods for phase transition problems.," BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, vol. 1B, pp. 83-108, 1998. (abstract)

  38. Barles, G, and Souganidis, PE, "A new approach to front propagation problems: Theory and applications," ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, vol. 141, pp. 237-296, 1998. (abstract)

  39. Zhu, JY, "A numerical study of chemical front propagation in a Hele-Shaw flow under buoyancy effects," PHYSICS OF FLUIDS, vol. 10, pp. 775-788, 1998. (abstract)

  40. Chertkov, M, and Yakhot, V, "Propagation of a huygens front through turbulent medium," PHYSICAL REVIEW LETTERS, vol. 80, pp. 2837-2840, 1998. (abstract)

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

  42. Calabi, E, Olver, PJ, Shakiban, C, Tannenbaum, A, and Haker, S, "Differential and numerically invariant signature curves applied to object recognition," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 26, pp. 107-135, 1998. (abstract)

  43. Shaked, D, and Bruckstein, AM, "Pruning medial axes," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 69, pp. 156-169, 1998. (abstract)

  44. Visintin, A, "Nucleation and mean curvature flow," COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, vol. 23, pp. 17-53, 1998. (abstract)

  45. Ceniceros, HD, and Hou, TY, "Convergence of a non-stiff boundary integral method for interfacial flows with surface tension," MATHEMATICS OF COMPUTATION, vol. 67, pp. 137-182, 1998. (abstract)

  46. 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)

  47. Blomgren, P, and Chan, TF, "Color TV: Total variation methods for restoration of vector- valued images," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 7, pp. 304-309, 1998. (abstract)

  48. Faugeras, O, and Keriven, R, "Variational principles, surface evolution, PDE's, level set methods, and the stereo problem," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 7, pp. 336-344, 1998. (abstract)

  49. Moisan, L, "Affine plane curve evolution: A fully consistent scheme," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 7, pp. 411-420, 1998. (abstract)

  50. Rey, JC, Li, JL, Boksha, V, Adalsteinsson, D, and Sethian, JA, "Topography simulation for interconnect deposition," SOLID STATE TECHNOLOGY, vol. 41, pp. 77-+, 1998. (abstract)

  51. 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)

  52. Bordemann, M, and Hoppe, J, "Diffeomorphism invariant integrable field theories and hypersurface motions in Riemannian manifolds," JOURNAL OF MATHEMATICAL PHYSICS, vol. 39, pp. 683-694, 1998. (abstract)

 
1999

  1. Chung, DH, and Sapiro, G, "A windows-based user friendly system for image analysis with partial differential equations," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 453-458, 1999. (abstract)

  2. Guo, YL, and Vemuri, BC, "Hybrid geometric active models for shape recovery in medical images," INFORMATION PROCESSING IN MEDICAL IMAGING, PROCEEDINGS, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1613, pp. 112-125, 1999. (abstract)

  3. 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)

  4. Koren, B, and Venis, ACJ, "A fed back level-set method for moving material-void interfaces," JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 101, pp. 131-152, 1999. (abstract)

  5. Helenbrook, BT, Martinelli, L, and Law, CK, "A numerical method for solving incompressible flow problems with a surface of discontinuity," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 148, pp. 366-396, 1999. (abstract)

  6. 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)

  7. Caselles, V, Lisani, JL, Morel, JM, and Sapiro, G, "Shape preserving local histogram modification," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 8, pp. 220-230, 1999. (abstract)

  8. Fischl, B, and Schwartz, EL, "Adaptive nonlocal filtering: A fast alternative to anisotropic diffusion for image enhancement," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 21, pp. 42-48, 1999. (abstract)

  9. Chakraborty, A, and Duncan, JS, "Game-theoretic integration for image segmentation," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 21, pp. 12-30, 1999. (abstract)

  10. Hamaguchi, S, "Modeling and simulation methods for plasma processing," IBM JOURNAL OF RESEARCH AND DEVELOPMENT, vol. 43, pp. 199-215, 1999. (abstract)

  11. Hu, CQ, and Shu, CW, "Weighted essentially non-oscillatory schemes on triangular meshes," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 150, pp. 97-127, 1999. (abstract)

  12. Siddiqi, K, Kimia, BB, Tannenbaum, A, and Zucker, SW, "Shapes, shocks and wiggles," IMAGE AND VISION COMPUTING, vol. 17, pp. 365-373, 1999. (abstract)

  13. Oka, H, and Ishii, K, "Numerical analysis on the motion of gas bubbles using level set method," JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, vol. 68, pp. 823-832, 1999. (abstract)

  14. Aslam, TD, and Stewart, DS, "Detonation shock dynamics and comparisons with direct numerical simulation," COMBUSTION THEORY AND MODELLING, vol. 3, pp. 77-101, 1999. (abstract)

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

  16. Hou, TY, Rosakis, P, and LeFloch, P, "A level-set approach to the computation of twinning and phase- transition dynamics," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 150, pp. 302-331, 1999. (abstract)

  17. Barles, G, "Nonlinear Neumann boundary conditions for quasilinear degenerate elliptic equations and applications," JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 154, pp. 191-224, 1999. (abstract)

  18. Sussman, M, and Fatemi, E, "An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 20, pp. 1165-1191, 1999. (abstract)

  19. Koo, Y, "A fattening principle for fronts propagating by mean curvature plus a driving force," COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, vol. 24, pp. 1035-1053, 1999. (abstract)

  20. Alhanaty, M, and Bercovier, M, "Shapes with offsets of nearly constant surface area," COMPUTER-AIDED DESIGN, vol. 31, pp. 287-296, 1999. (abstract)

  21. Strain, J, "Tree methods for moving interfaces," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 151, pp. 616-648, 1999. (abstract)

  22. Strain, J, "Semi-Lagrangian methods for level set equations," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 151, pp. 498-533, 1999. (abstract)

  23. Li, ZL, Zhao, HK, and Gao, HJ, "A numerical study of electro-migration voiding by evolving level set functions on a fixed Cartesian grid," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 152, pp. 281-304, 1999. (abstract)

  24. Niessen, WJ, Vincken, KL, Weickert, J, Romeny, BMT, and Viergever, MA, "Multiscale segmentation of three-dimensional MR brain images," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 31, pp. 185-202, 1999. (abstract)

  25. Li, ZL, and Soni, B, "Fast and accurate numerical approaches for Stefan problems and crystal growth," NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, vol. 35, pp. 461-484, 1999. (abstract)

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

  27. Dinh, TN, Bui, VA, Nourgaliev, RR, Green, JA, and Sehgal, BR, "Experimental and analytical studies of melt jet-coolant interactions: a synthesis," NUCLEAR ENGINEERING AND DESIGN, vol. 189, pp. 299-327, 1999. (abstract)

  28. Bertalmio, M, Sapiro, G, and Randall, G, "Region tracking on level-sets methods," IEEE TRANSACTIONS ON MEDICAL IMAGING, vol. 18, pp. 448-451, 1999. (abstract)

  29. Strain, J, "Fast tree-based redistancing for level set computations," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 152, pp. 664-686, 1999. (abstract)

  30. He, XY, Chen, SY, and Zhang, RY, "A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 152, pp. 642-663, 1999. (abstract)

  31. Reinecke, M, Hillebrandt, W, and Niemeyer, JC, "Thermonuclear explosions of Chandrasekhar-mass C+O white dwarfs," ASTRONOMY AND ASTROPHYSICS, vol. 347, pp. 739-747, 1999. (abstract)

  32. Reinecke, M, Hillebrandt, W, Niemeyer, JC, Klein, R, and Grobl, A, "A new model for deflagration fronts in reactive fluids," ASTRONOMY AND ASTROPHYSICS, vol. 347, pp. 724-733, 1999. (abstract)

  33. Ubbink, O, and Issa, RI, "A method for capturing sharp fluid interfaces on arbitrary meshes," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 153, pp. 26-50, 1999. (abstract)

  34. Ishii, H, Pires, GE, and Souganidis, PE, "Threshold dynamics type approximation schemes for propagating fronts," JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, vol. 51, pp. 267-308, 1999. (abstract)

  35. Schulze, TP, and Kohn, RV, "A geometric model for coarsening during spiral-mode growth of thin films," PHYSICA D, vol. 132, pp. 520-542, 1999. (abstract)

  36. Udaykumar, HS, Mittal, R, and Shyy, W, "Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 153, pp. 535-574, 1999. (abstract)

  37. Vese, L, "A method to convexify functions via curve evolution," COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, vol. 24, pp. 1573-1591, 1999. (abstract)

  38. Gyure, MF, "Bridging time and length scales in semiconductor process model development," COMPUTING IN SCIENCE & ENGINEERING, vol. 1, pp. 100-103, 1999. (abstract)

  39. Caselles, V, Coll, B, and Morel, JM, "Topographic maps and local contrast changes in natural images," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 33, pp. 5-27, 1999. (abstract)

  40. Mikula, K, and Sevcovic, D, "Solution of nonlinearly curvature driven evolution of plane curves," APPLIED NUMERICAL MATHEMATICS, vol. 31, pp. 191-207, 1999. (abstract)

  41. Fedkiw, RP, Aslam, T, and Xu, SJ, "The ghost fluid method for deflagration and detonation discontinuities," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 154, pp. 393-427, 1999. (abstract)

  42. Oparin, A, and Abarzhi, S, "Three-dimensional bubbles in Rayleigh-Taylor instability," PHYSICS OF FLUIDS, vol. 11, pp. 3306-3311, 1999. (abstract)

  43. Salden, AH, Romeny, BMT, and Viergever, MA, "Linearised euclidean shortening flow of curve geometry," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 34, pp. 29-67, 1999. (abstract)

  44. Aubert, G, and Blanc-Feraud, L, "Some remarks on the equivalence between 2D and 3D classical snakes and geodesic active contours," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 34, pp. 19-28, 1999. (abstract)

  45. Angenent, S, Haker, S, Tannenbaum, A, and Kikinis, R, "On the Laplace-Beltrami operator and brain surface flattening," IEEE TRANSACTIONS ON MEDICAL IMAGING, vol. 18, pp. 700-711, 1999. (abstract)

  46. Jin, S, Katsoulakis, MA, and Xin, ZP, "Relaxation schemes for curvature-dependent front propagation," COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, vol. 52, pp. 1587-1615, 1999. (abstract)

  47. Tomlin, C, Lygeros, J, and Sastry, S, "Computing controllers for nonlinear hybrid systems," HYBRID SYSTEMS: COMPUTATION AND CONTROL, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1569, pp. 238-255, 1999. (abstract)

  48. Wang, KC, Dutton, RW, and Taylor, CA, "Improving geometric model construction for blood flow modeling - Geometric image segmentation and image-based model construction for computational hemodynamics," IEEE ENGINEERING IN MEDICINE AND BIOLOGY MAGAZINE, vol. 18, pp. 33-39, 1999. (abstract)

  49. Peng, DP, Merriman, B, Osher, S, Zhao, HK, and Kang, MJ, "A PDE-based fast local level set method," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 155, pp. 410-438, 1999. (abstract)

  50. Xiao, F, "A computational model for suspended large rigid bodies in 3D unsteady viscous flows," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 155, pp. 348-379, 1999. (abstract)

  51. Hu, CQ, and Shu, CW, "A discontinuous Galerkin finite element method for Hamilton- Jacobi equations," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 21, pp. 666-690, 1999. (abstract)

  52. Gremaud, PA, and Ide, NR, "Computation of nonclassical solutions to Hamilton-Jacobi problems," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 21, pp. 502-521, 1999. (abstract)

  53. August, J, Siddiqi, K, and Zucker, SW, "Contour fragment grouping and shared, simple occluders," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 76, pp. 146-162, 1999. (abstract)

  54. Chopp, D, Evans, LC, and Ishii, H, "Waiting time effects for Gauss curvature flows," INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 48, pp. 311-334, 1999. (abstract)

  55. Chung, EH, and Kwon, S, "The effect of volume expansion on the propagation of wrinkled laminar premixed flame," COMBUSTION SCIENCE AND TECHNOLOGY, vol. 146, pp. 85-103, 1999. (abstract)

  56. Siddiqi, K, Shokoufandeh, A, Dickinson, SJ, and Zucker, SW, "Shock graphs and shape matching," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 35, pp. 13-32, 1999. (abstract)

  57. McInerney, T, and Terzopoulos, D, "Topology adaptive deformable surfaces for medical image volume segmentation," IEEE TRANSACTIONS ON MEDICAL IMAGING, vol. 18, pp. 840-850, 1999. (abstract)

  58. Olver, PJ, Sapiro, G, and Tannenbaum, A, "Affine invariant detection: Edge maps, anisotropic diffusion, and active contours," ACTA APPLICANDAE MATHEMATICAE, vol. 59, pp. 45-77, 1999. (abstract)

  59. Kim, S, and Cook, R, "3-D traveltime computation using second-order ENO scheme," GEOPHYSICS, vol. 64, pp. 1867-1876, 1999. (abstract)

  60. Rekeczky, C, and Chua, LO, "Computing with front propagation: Active contour and skeleton models in continuous-time CNN," JOURNAL OF VLSI SIGNAL PROCESSING SYSTEMS FOR SIGNAL IMAGE AND VIDEO TECHNOLOGY, vol. 23, pp. 373-402, 1999. (abstract)

  61. Marquina, A, and Osher, S, "A new time dependent model based on level set motion for nonlinear deblurring and noise removal," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 429-434, 1999. (abstract)

  62. Maragos, P, and Meyer, F, "Nonlinear PDEs and numerical algorithms for modeling levelings and reconstruction filters," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 363-374, 1999. (abstract)

  63. Meyer, F, and Maragos, P, "Multiscale morphological segmentations based on watershed, flooding, and eikonal PDE," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 351-362, 1999. (abstract)

  64. Bertalmio, M, Sapiro, G, and Randall, G, "Region tracking on surfaces deforming via level-sets methods," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 330-338, 1999. (abstract)

  65. Samson, C, Blanc-Feraud, L, Aubert, G, and Zerubia, J, "A level set model for image classification," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 306-317, 1999. (abstract)

  66. van den Boomgaard, R, "Numerical solution schemes for continuous-scale morphology," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 199-210, 1999. (abstract)

  67. Chan, T, and Vese, L, "An active contour model without edges," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 141-151, 1999. (abstract)

  68. Gomes, J, and Faugeras, O, "Reconciling distance functions and level sets," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 70-81, 1999. (abstract)

  69. Hermosillo, G, Faugeras, O, and Gomes, J, "Unfolding the cerebral cortex using level set methods," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 58-69, 1999. (abstract)

  70. Bertalmio, M, Sapiro, G, and Randall, G, "Morphing active contours," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 46-57, 1999. (abstract)

  71. Goldenberg, R, Kimmel, R, Rivlin, E, and Rudzsky, M, "Fast geodesic active contours," SCALE-SPACE THEORIES IN COMPUTER VISION, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1682, pp. 34-45, 1999. (abstract)

 
2000

  1. Betelu, SI, Aronson, DG, and Angenent, SB, "Renormalization study of two-dimensional convergent solutions of the porous medium equation," PHYSICA D, vol. 138, pp. 344-359, 2000. (abstract)

  2. Smereka, P, "Spiral crystal growth," PHYSICA D, vol. 138, pp. 282-301, 2000. (abstract)

  3. Mayer, UF, "A numerical scheme for moving boundary problems that are gradient flows for the area functional," EUROPEAN JOURNAL OF APPLIED MATHEMATICS, vol. 11, pp. 61-80, 2000. (abstract)

  4. Ruuth, SJ, and Merriman, B, "Convolution-generated motion and generalized Huygens' principles for interface motion," SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 60, pp. 868-890, 2000. (abstract)

  5. Liao, GJ, Liu, F, de la Pena, GC, Peng, DP, and Osher, S, "Level-set-based deformation methods for adaptive grids," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 159, pp. 103-122, 2000. (abstract)

  6. Lepsky, O, Hu, CQ, and Shu, CW, "Analysis of the discontinuous Galerkin method for Hamilton- Jacobi equations," APPLIED NUMERICAL MATHEMATICS, vol. 33, pp. 423-434, 2000. (abstract)

  7. Paragios, N, and Deriche, R, "Geodesic active contours and level sets for the detection and tracking of moving objects," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 22, pp. 266-280, 2000. (abstract)

  8. Liu, XD, Fedkiw, RP, and Kang, MJ, "A boundary condition capturing method for Poisson's equation on irregular domains," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 160, pp. 151-178, 2000. (abstract)

  9. Jia, W, "Transport coordinate (TC) method for the dynamics of multiple materials," JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, vol. 122, pp. 125-133, 2000. (abstract)

  10. Ravi, D, "A new active contour model for shape extraction," MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 23, pp. 709-722, 2000. (abstract)

  11. Ratsch, C, Gyure, MF, Chen, S, Kang, M, and Vvedensky, DD, "Fluctuations and scaling in aggregation phenomena," PHYSICAL REVIEW B, vol. 61, pp. 10598-10601, 2000. (abstract)

  12. Hillebrandt, W, Reinecke, M, and Niemeyer, JC, "Thermonuclear supernovae," COMPUTER PHYSICS COMMUNICATIONS, vol. 127, pp. 53-58, 2000. (abstract)

  13. Chan, CK, Lau, KS, and Zhang, BL, "Simulation of a premixed turbulent flame with the discrete vortex method," INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 48, pp. 613-627, 2000. (abstract)

  14. Meyer, F, and Maragos, P, "Nonlinear scale-space representation with morphological levelings," JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, vol. 11, pp. 245-265, 2000. (abstract)

  15. Gomes, J, and Faugeras, O, "Reconciling distance functions and level sets," JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, vol. 11, pp. 209-223, 2000. (abstract)

  16. Shah, J, "Riemannian drums, anisotropic curve evolution, and segmentation," JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, vol. 11, pp. 142-153, 2000. (abstract)

  17. Chan, TE, Sandberg, BY, and Vese, LA, "Active contours without edges for vector-valued images," JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, vol. 11, pp. 130-141, 2000. (abstract)

  18. White, B, "The size of the singular set in mean curvature flow of mean- convex sets," JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 13, pp. 665-695, 2000. (abstract)

  19. Sethian, JA, and Vladimirsky, A, "Fast methods for the Eikonal and related Hamilton-Jacobi equations on unstructured meshes," PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, vol. 97, pp. 5699-5703, 2000. (abstract)

  20. Sarti, A, Malladi, R, and Sethian, JA, "Subjective surfaces: A method for completing missing boundaries," PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, vol. 97, pp. 6258-6263, 2000. (abstract)

  21. Lin, CT, and Tadmor, E, "High-resolution nonoscillatory central schemes for Hamilton- Jacobi equations," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 21, pp. 2163-2186, 2000. (abstract)

  22. Jiang, GS, and Peng, DP, "Weighted ENO schemes for Hamilton-Jacobi equations," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 21, pp. 2126-2143, 2000. (abstract)

  23. Russo, G, and Smereka, P, "A level-set method for the evolution of faceted crystals," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 21, pp. 2073-2095, 2000. (abstract)

  24. Zheng, LL, and Zhang, H, "An adaptive level set method for moving-boundary problems: Application to droplet spreading and solidification," NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, vol. 37, pp. 437-454, 2000. (abstract)

  25. Benjamin, MA, "Fuel atomization for next-generation gas turbine combustors," ATOMIZATION AND SPRAYS, vol. 10, pp. 427-U3, 2000. (abstract)

  26. Chopp, DL, "A level-set method for simulating island coarsening," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 162, pp. 104-122, 2000. (abstract)

  27. Kim, S, "Wavefronts of linear elastic waves: local convexity and modeling," WAVE MOTION, vol. 32, pp. 203-216, 2000. (abstract)

  28. Mitchell, I, and Tomlin, CJ, "Level set methods for computation in hybrid systems," HYBRID SYSTEMS: COMPUTATION AND CONTROL, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1790, pp. 310-323, 2000. (abstract)

  29. Sussman, M, and Puckett, EG, "A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 162, pp. 301-337, 2000. (abstract)

  30. Hansen, U, Rodgers, S, and Jensen, KF, "Modeling of metal thin film growth: Linking angstrom-scale molecular dynamics results to micron-scale film topographies," PHYSICAL REVIEW B, vol. 62, pp. 2869-2878, 2000. (abstract)

  31. Kim, YT, Goldenfeld, N, and Dantzig, J, "Computation of dendritic microstructures using a level set method," PHYSICAL REVIEW E, vol. 62, pp. 2471-2474, 2000. (abstract)

  32. Bertalmio, M, Sapiro, G, and Randall, G, "Morphing active contours," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 22, pp. 733-737, 2000. (abstract)

  33. Marquina, A, and Osher, S, "Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 22, pp. 387-405, 2000. (abstract)

  34. Ruuth, SJ, Merriman, B, and Osher, S, "A fixed grid method for capturing the motion of self- intersecting wavefronts and related PDEs," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 163, pp. 1-21, 2000. (abstract)

  35. Ida, M, "An improved unified solver for compressible and incompressible fluids involving free surfaces. Part I. Convection," COMPUTER PHYSICS COMMUNICATIONS, vol. 132, pp. 44-65, 2000. (abstract)

  36. Tannenbaum, A, "On the eye tracking problem: a challenge for robust control," INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, vol. 10, pp. 875-888, 2000. (abstract)

  37. O'Sullivan, PL, Baumann, FH, and Gilmer, GH, "Simulation of physical vapor deposition into trenches and vias: Validation and comparison with experiment," JOURNAL OF APPLIED PHYSICS, vol. 88, pp. 4061-4068, 2000. (abstract)

  38. Karlsen, KH, Lie, KA, and Risebro, NH, "A fast marching method for reservoir simulation," COMPUTATIONAL GEOSCIENCES, vol. 4, pp. 185-206, 2000. (abstract)

  39. You, YL, and Kaveh, M, "Fourth-order partial differential equations for noise removal," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 9, pp. 1723-1730, 2000. (abstract)

  40. Sethian, JA, and Wiegmann, A, "Structural boundary design via level set and immersed interface methods," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 163, pp. 489-528, 2000. (abstract)

  41. Groetsch, CW, and Scherzer, O, "Non-stationary iterated Tikhonov-Morozov method and third-order differential equations for the evaluation of unbounded operators," MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 23, pp. 1287-1300, 2000. (abstract)

  42. Tomlin, CJ, Lygeros, J, and Sastry, SS, "A game theoretic approach to controller design for hybrid systems," PROCEEDINGS OF THE IEEE, vol. 88, pp. 949-970, 2000. (abstract)

  43. Xie, WS, and Tao, JH, "Interaction of a solitary wave and a front step simulated by level set method," APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, vol. 21, pp. 761-766, 2000. (abstract)

  44. Ulitsky, M, Ghenai, C, Gokalp, I, Wang, LP, and Collins, LR, "Comparison of a spectral model for premixed turbulent flame propagation to DNS and experiments," COMBUSTION THEORY AND MODELLING, vol. 4, pp. 241-264, 2000. (abstract)

  45. Chung, DH, and Sapiro, G, "Segmenting skin lesions with partial-differential-equations- based image processing algorithms," IEEE TRANSACTIONS ON MEDICAL IMAGING, vol. 19, pp. 763-767, 2000. (abstract)

  46. Whitaker, RT, "A level-set approach to image blending," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 9, pp. 1849-1861, 2000. (abstract)

  47. Kaminski, CF, Bai, XS, Hult, J, Dreizler, A, Lindenmaier, S, and Fuchs, L, "Flame growth and wrinkling in a turbulent flow," APPLIED PHYSICS B-LASERS AND OPTICS, vol. 71, pp. 711-716, 2000. (abstract)

  48. Sarti, A, de Solorzano, CO, Lockett, S, and Malladi, R, "A geometric model for 3-D confocal image analysis," IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, vol. 47, pp. 1600-1609, 2000. (abstract)

  49. Bourlioux, A, "Semi-analytical validation of a dynamic large-eddy simulation procedure for turbulent premixed flames via the G-equation," COMBUSTION THEORY AND MODELLING, vol. 4, pp. 363-389, 2000. (abstract)

  50. Shoemaker, DM, Huq, MF, and Matzner, RA, "Generic tracking of multiple apparent horizons with level flow - art. no. 124005," PHYSICAL REVIEW D, vol. 6212, pp. 4005-+, 2000. (abstract)

  51. Pereyra, V, "Ray tracing methods for inverse problems," INVERSE PROBLEMS, vol. 16, pp. R1-R35, 2000. (abstract)

  52. Zhao, HK, Osher, S, Merriman, B, and Kang, M, "Implicit and nonparametric shape reconstruction from unorganized data using a variational level set method," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 80, pp. 295-314, 2000. (abstract)

  53. Allaire, G, Clerc, S, and Kokh, S, "A five-equation model for the numerical simulation of interfaces in two-phase flows," COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, vol. 331, pp. 1017-1022, 2000. (abstract)

  54. Samson, C, Blanc-Feraud, L, Aubert, G, and Zerubia, J, "A level set model for image classification," INTERNATIONAL JOURNAL OF COMPUTER VISION, vol. 40, pp. 187-197, 2000. (abstract)

  55. Ninokata, H, Muramatsu, T, Nishimura, M, Tomiyama, A, Minato, A, Kunugi, T, Takagi, S, Aoki, T, Fujii, S, Morii, T, Morita, K, Koshizuka, S, Tanaka, N, Shirakawa, N, Chen, Y, Matsukuma, Y, and Watanabe, T, "Microscopic simulation of nuclear reactor thermal-hydraulics," JOURNAL OF THE ATOMIC ENERGY SOCIETY OF JAPAN, vol. 42, pp. 1242-1259, 2000. (abstract)

  56. Rifai, H, Bloch, I, Hutchinson, S, Wiart, J, and Garnero, L, "Segmentation of the skull in MRI volumes using and taking the partial volume effect into account deformable model," MEDICAL IMAGE ANALYSIS, vol. 4, pp. 219-233, 2000. (abstract)

  57. Audette, MA, Ferrie, FP, and Peters, TM, "An algorithmic overview of surface registration techniques for medical imaging," MEDICAL IMAGE ANALYSIS, vol. 4, pp. 201-217, 2000. (abstract)

  58. McInerney, T, and Terzopoulos, D, "T-snakes: Topology adaptive snakes," MEDICAL IMAGE ANALYSIS, vol. 4, pp. 73-91, 2000. (abstract)

  59. Volkov, VI, Gordeychuk, VA, Es'kov, NS, and Kozyrev, OM, "Numerical simulation by the MAH-3 code of the interfaces using an unstructured mesh of markers," LASER AND PARTICLE BEAMS, vol. 18, pp. 197-205, 2000. (abstract)

  60. Steinhoff, J, Fan, M, and Vang, LS, "A new Eulerian method for the computation of propagating short acoustic and electromagnetic pulses," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 157, pp. 683-706, 2000. (abstract)

  61. Yokoi, K, and Xiao, F, "Relationships between a roller and a dynamic pressure distribution in circular hydraulic jumps," PHYSICAL REVIEW E, vol. 61, pp. R1016-R1019, 2000. (abstract)

  62. Chen, YM, Vemuri, BC, and Wang, L, "Image denoising and segmentation via nonlinear diffusion," COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 39, pp. 131-149, 2000. (abstract)

  63. Barcelos, CAZ, and Chen, Y, "Heat flows and related minimization problem in image restoration," COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 39, pp. 81-97, 2000. (abstract)

  64. Wang, HY, and Ghosh, B, "Geometric active deformable models in shape modeling," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 9, pp. 302-308, 2000. (abstract)

  65. Duncan, JS, and Ayache, N, "Medical image analysis: Progress over two decades and the challenges ahead," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 22, pp. 85-106, 2000. (abstract)

  66. Katsoulakis, MA, and Vlachos, DG, "From microscopic interactions to macroscopic laws of cluster evolution," PHYSICAL REVIEW LETTERS, vol. 84, pp. 1511-1514, 2000. (abstract)

  67. Aivazis, M, Goddard, WA, Meiron, D, Ortiz, M, Pool, J, and Shepherd, J, "A virtual, test facility for simulating the dynamic response of materials," COMPUTING IN SCIENCE & ENGINEERING, vol. 2, pp. 42-53, 2000. (abstract)

  68. Oka, H, and Ishii, K, "Numerical simulation on the interaction of buoyant drops with a fluid-fluid interface," JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, vol. 69, pp. 392-400, 2000. (abstract)

  69. Dorst, L, and van den Boomgaard, R, "The support cone: A representational tool for the analysis of boundaries and their interactions," IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 22, pp. 174-178, 2000. (abstract)

  70. Ying, LA, and Zhang, PW, "Vanishing curvature viscosity for front propagation," JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 161, pp. 289-306, 2000. (abstract)

  71. Gomes, J, and Faugeras, O, "Level sets and distance functions," COMPUTER VISION - ECCV 2000, PT I, PROCEEDINGS, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1842, pp. 588-602, 2000. (abstract)

  72. Westin, CF, Lorigo, LM, Faugeras, O, Grimson, WEL, Dawson, S, Norbash, A, and Kikinis, R, "Segmentation by adaptive geodesic active contours," MEDICAL IMAGE COMPUTING AND COMPUTER-ASSISTED INTERVENTION - MICCAI 2000, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1935, pp. 266-275, 2000. (abstract)

  73. Tsai, A, Yezzi, A, and Willsky, AS, "A curve evolution approach to medical image magnification via the Mumford-Shah functional," MEDICAL IMAGE COMPUTING AND COMPUTER-ASSISTED INTERVENTION - MICCAI 2000, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1935, pp. 246-255, 2000. (abstract)

  74. Baillard, C, and Barillot, C, "Robust 3D segmentation of anatomical structures with level sets," MEDICAL IMAGE COMPUTING AND COMPUTER-ASSISTED INTERVENTION - MICCAI 2000, LECTURE NOTES IN COMPUTER SCIENCE, vol. 1935, pp. 236-245, 2000. (abstract)

 
2001

  1. Siddiqi, K, Kimia, BB, Tannenbaum, A, and Zucker, SW, "On the psychophysics of the shape triangle," VISION RESEARCH, vol. 41, pp. 1153-1178, 2001. (abstract)

  2. Chen, YM, and Bose, P, "On the incorporation of time-delay regularization into curvature-based diffusion," JOURNAL OF MATHEMATICAL IMAGING AND VISION, vol. 14, pp. 149-164, 2001. (abstract)

  3. Rhee, CW, "Evolution of flame shape to a vortex pair," KSME INTERNATIONAL JOURNAL, vol. 15, pp. 623-629, 2001. (abstract)

  4. Chen, Y, Barcelos, CAS, and Mair, BA, "Smoothing and edge detection by time-varying coupled nonlinear diffusion equations," COMPUTER VISION AND IMAGE UNDERSTANDING, vol. 82, pp. 85-100, 2001. (abstract)

  5. Han, C, Hatsukami, TS, Hwang, JN, and Yuan, C, "A fast minimal path active contour model," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 10, pp. 865-873, 2001. (abstract)

  6. Iwasaki, T, Nishimura, K, Tanaka, M, and Hagiwara, Y, "Direct numerical simulation of turbulent Couette flow with immiscible droplets," INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, vol. 22, pp. 332-342, 2001. (abstract)

  7. Kim, S, "An O(N) level set method for eikonal equations," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 22, pp. 2178-2193, 2001. (abstract)

  8. Angenent, SB, Aronson, DG, Betelu, SI, and Lowengrub, JS, "Focusing of an elongated hole in porous medium flow," PHYSICA D, vol. 151, pp. 228-252, 2001. (abstract)

  9. Breen, DE, and Whitaker, RT, "A level-set approach for the metamorphosis of solid models," IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, vol. 7, pp. 173-192, 2001. (abstract)

  10. Yabe, T, Xiao, F, and Utsumi, T, "The constrained interpolation profile method for multiphase analysis," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 169, pp. 556-593, 2001. (abstract)

  11. Sethian, JA, "Evolution, implementation, and application of level set and fast marching methods for advancing fronts," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 169, pp. 503-555, 2001. (abstract)

  12. Osher, S, and Fedkiw, RP, "Level set methods: An overview and some recent results," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 169, pp. 463-502, 2001. (abstract)

  13. Im, YH, Hahn, YB, and Pearton, SJ, "Level set approach to simulation of feature profile evolution in a high-density plasma-etching system," JOURNAL OF VACUUM SCIENCE & TECHNOLOGY B, vol. 19, pp. 701-710, 2001. (abstract)

  14. Chung, MH, "A level set approach for computing solutions to inviscid compressible flow with moving solid boundary using fixed Cartesian grids," INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, vol. 36, pp. 373-389, 2001. (abstract)

  15. Debreuve, E, Barlaud, M, Aubert, G, Laurette, I, and Darcourt, J, "Space-time segmentation using level set active contours applied to myocardial gated SPECT," IEEE TRANSACTIONS ON MEDICAL IMAGING, vol. 20, pp. 643-659, 2001. (abstract)

  16. Stolarska, M, Chopp, DL, Moes, N, and Belytschko, T, "Modelling crack growth by level sets in the extended finite element method," INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 51, pp. 943-960, 2001. (abstract)

  17. Cao, F, and Moisan, L, "Geometric computation of curvature driven plane curve evolutions," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 39, pp. 624-646, 2001. (abstract)

  18. Jakobsen, ER, Karlsen, HK, and Risebro, NH, "On the convergence rate of operator splitting for Hamilton- Jacobi equations with source terms," SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 39, pp. 499-518, 2001. (abstract)

  19. Chopp, DL, "Some improvements of the fast marching method," SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 23, pp. 230-244, 2001. (abstract)

  20. Khenner, M, Averbuch, A, Israeli, M, and Nathan, M, "Numerical simulation of grain-boundary grooving by level set method," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 170, pp. 764-784, 2001. (abstract)

  21. Burchard, P, Cheng, LT, Merriman, B, and Osher, S, "Motion of curves in three spatial dimensions using a level set approach," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 170, pp. 720-741, 2001. (abstract)

  22. Tsai, A, Yezzi, A, and Willsky, AS, "Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 10, pp. 1169-1186, 2001. (abstract)

  23. Sifakis, E, and Tziritas, G, "Moving object localisation using a multi-label fast marching algorithm," SIGNAL PROCESSING-IMAGE COMMUNICATION, vol. 16, pp. 963-976, 2001. (abstract)

  24. Vvedensky, DD, "Epitaxial phenomena across length and time scales," SURFACE AND INTERFACE ANALYSIS, vol. 31, pp. 627-636, 2001. (abstract)

  25. Suri, JS, "Two-dimensional fast magnetic resonance brain segmentation," IEEE ENGINEERING IN MEDICINE AND BIOLOGY MAGAZINE, vol. 20, pp. 84-95, 2001. (abstract)

  26. Osher, SJ, and Santosa, F, "Level set methods for optimization problems involving geometry and constraints I. Frequencies of a two-density inhomogeneous drum," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 171, pp. 272-288, 2001. (abstract)

  27. Richards, DF, Bloomfield, MO, Sen, S, and Cale, TS, "Extension velocities for level set based surface profile evolution," JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A-VACUUM SURFACES AND FILMS, vol. 19, pp. 1630-1635, 2001. (abstract)

  28. Phan, AV, Kaplan, T, Gray, LJ, Adalsteinsson, D, Sethian, JA, Barvosa-Carter, W, and Aziz, MJ, "Modelling a growth instability in a stressed solid," MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, vol. 9, pp. 309-325, 2001. (abstract)

  29. Ratsch, C, Kang, M, and Caflisch, RE, "Atomic size effects in continuum modeling - art. no. 020601," PHYSICAL REVIEW E, vol. 6402, pp. 0601-+, 2001. (abstract)

  30. Bartesaghi, A, and Sapiro, G, "A system for the generation of curves on 3D brain images," HUMAN BRAIN MAPPING, vol. 14, pp. 1-15, 2001. (abstract)

  31. Ye, T, Shyy, W, and Chung, JN, "A fixed-grid, sharp-interface method for bubble dynamics and phase change," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 174, pp. 781-815, 2001. (abstract)

  32. Li, ZL, and Lai, MC, "The immersed interface method for the Navier-Stokes equations with singular forces," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 171, pp. 822-842, 2001. (abstract)

  33. Cerne, G, Petelin, S, and Tiselj, I, "Coupling of the interface tracking and the two-fluid models for the simulation of incompressible two-phase flow," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 171, pp. 776-804, 2001. (abstract)

  34. Bertalmio, M, Cheng, LT, Osher, S, and Sapiro, G, "Variational problems and partial differential equations on implicit surfaces," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 174, pp. 759-780, 2001. (abstract)

  35. Chan, TF, and Vese, LA, "Active contours without edges," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 10, pp. 266-277, 2001. (abstract)

  36. Ki, H, Mohanty, PS, and Mazumder, J, "Modelling of high-density laser-material interaction using fast level set method," JOURNAL OF PHYSICS D-APPLIED PHYSICS, vol. 34, pp. 364-372, 2001. (abstract)

  37. Iafrati, A, Di Mascio, A, and Campana, EF, "A level set technique applied to unsteady free surface flows," INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, vol. 35, pp. 281-297, 2001. (abstract)

  38. Quecedo, M, and Pastor, M, "Application of the level set method to the finite element solution of two-phase flows," INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 50, pp. 645-663, 2001. (abstract)

  39. Xu, K, "A kinetic method for hyperbolic-elliptic equations and its application in two-phase flow," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 166, pp. 383-399, 2001. (abstract)

  40. Frangi, AF, Niessen, WJ, and Viergever, MA, "Three-dimensional modeling for functional analysis of cardiac images: A review," IEEE TRANSACTIONS ON MEDICAL IMAGING, vol. 20, pp. 2-25, 2001. (abstract)

  41. Caiden, R, Fedkiw, RP, and Anderson, C, "A numerical method for two-phase flow consisting of separate compressible and incompressible regions," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 166, pp. 1-27, 2001. (abstract)

  42. Chen, S, Merriman, B, Kang, M, Caflisch, RE, Ratsch, C, Cheng, LT, Gyure, M, Fedkiw, RP, Anderson, C, and Osher, S, "A level set method for thin film epitaxial growth," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 167, pp. 475-500, 2001. (abstract)

  43. Aslam, TD, "A level-set algorithm for tracking discontinuities in hyperbolic conservation laws I. Scalar equations," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 167, pp. 413-438, 2001. (abstract)

  44. Baumann, FH, Chopp, DL, de la Rubia, TD, Gilmer, GH, Greene, JE, Huang, H, Kodambaka, S, O'Sullivan, P, and Petrov, I, "Multiscale modeling of thin-film deposition: Applications to Si device processing," MRS BULLETIN, vol. 26, pp. 182-189, 2001. (abstract)

  45. Liu, TG, Khoo, BC, and Yeo, KS, "The simulation of compressible multi-medium flow. I. A new methodology with test applications to 1D gas-gas and gas water cases," COMPUTERS & FLUIDS, vol. 30, pp. 291-314, 2001. (abstract)

  46. Ida, M, and Yamakoshi, Y, "An Eulerian scheme for direct numerical simulation of multibubble dynamics in an acoustic field," JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, vol. 40, pp. 3846-3851, 2001. (abstract)

  47. Nguyen, DQ, Fedkiw, RP, and Kang, M, "A boundary condition capturing method for incompressible flame discontinuities," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 172, pp. 71-98, 2001. (abstract)

  48. Baillard, C, Hellier, P, and Barillot, C, "Segmentation of brain 3D MR images using level sets and dense registration," MEDICAL IMAGE ANALYSIS, vol. 5, pp. 185-194, 2001. (abstract)

  49. Karma, A, "Phase-field formulation for quantitative modeling of alloy solidification - art. no. 115701," PHYSICAL REVIEW LETTERS, vol. 8711, pp. 5701-+, 2001. (abstract)

  50. Breen, DE, Mauch, S, Whitaker, RT, and Mao, J, "3D metamorphosis between different types of geometric models," COMPUTER GRAPHICS FORUM, vol. 20, pp. C36-+, 2001. (abstract)

  51. Goldenberg, R, Kimmel, R, Rivlin, E, and Rudzsky, M, "Fast geodesic active contours," IEEE TRANSACTIONS ON IMAGE PROCESSING, vol. 10, pp. 1467-1475, 2001. (abstract)

  52. Bernoussi, A, El Jai, A, and Pritchard, AJ, "Spreadability and evolving interfaces," INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, vol. 32, pp. 1217-1232, 2001. (abstract)

  53. Chopp, DL, "Commentary - Replacing iterative algorithms with single-pass algorithms," PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, vol. 98, pp. 10992-10993, 2001. (abstract)

  54. Sukumar, N, Chopp, DL, Moes, N, and Belytschko, T, "Modeling holes and inclusions by level sets in the extended finite-element method," COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 190, pp. 6183-6200, 2001. (abstract)

  55. Qian, JL, and Symes, WW, "Paraxial eikonal solvers for anisotropic quasi-P travel times," JOURNAL OF COMPUTATIONAL PHYSICS, vol. 173, pp. 256-278, 2001. (abstract)

  56. Oberlack, M, Wenzel, H, and Peters, N, "On symmetries and averaging of the G-equation for premixed combustion," COMBUSTION THEORY AND MODELLING, vol. 5, pp. 363-383, 2001. (abstract)

  57. De Solorzano, CO, Malladi, R, Lelievre, SA, and Lockett, SJ, "Segmentation of nuclei and cells using membrane related protein markers," JOURNAL OF MICROSCOPY-OXFORD, vol. 201, pp. 404-415, 2001. (abstract)

  58. Burger, M, "A level set method for inverse problems," INVERSE PROBLEMS, vol. 17, pp. 1327-1355, 2001. (abstract)

  59. Ito, K, Kunisch, K, and Li, ZL, "Level-set function approach to an inverse interface problem," INVERSE PROBLEMS, vol. 17, pp. 1225-1242, 2001. (abstract)

  60. Gibou, FG, Ratsch, C, Gyure, MF, Chen, S, and Caflisch, RE, "Rate equations and capture numbers with implicit islands correlations - art. no. 115401," PHYSICAL REVIEW B, vol. 6311, pp. 5401-+, 2001. (abstract)

  61. Quek, FKH, and Kirbas, C, "Vessel extraction in medical images by wave-propagation and traceback," IEEE TRANSACTIONS ON MEDICAL IMAGING, vol. 20, pp. 117-131, 2001. (abstract)

  62. Mikula, K, and Sevcovic, D, "Evolution of plane curves driven by a nonlinear function of curvature and anisotropy," SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 61, pp. 1473-1501, 2001. (abstract)

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