James Sethian

James A. Sethian

Mathematics Dept. Head; CAMERA Director; Mathematics Group Lead

Senior Faculty Scientist

Phone: +1 510 486 6006

Fax: +1 510 486 6199

Web: http://www.math.berkeley.edu/~sethian/level_set.html

James Sethian is a professor of mathematics at UC Berkeley, as well as a Berkeley Lab Senior Faculty Scientist, Mathematics Department Head, Group Lead of the Mathematics Group, and Director of the CAMERA Center. He received his Ph.D. in applied mathematics from UC Berkeley in 1982. Sethian continued his research with an NSF postdoc fellowship at the Courant Institute of Mathematics, and then returned to Berkeley as an assistant professor in 1985. He now holds the James H. Simons Chair in Mathematics at UC Berkeley.

Sethian is the author of many scientific articles and books and serves as an associate editor on several journals. He is a member of the National Academy of Engineering and the National Academy of Science and is the recipient of numerous prizes and awards. His awards include the Norbert Wiener Prize in Applied Mathematics, which is awarded jointly by the American Mathematical Society (AMS) and the Society for Industrial and Applied Mathematics (SIAM), for his representations of the motion of curves, surfaces, interfaces, and wave fronts, and for his applications of mathematical and computational ideas to scientific problems. He was also awarded the 2011 Pioneer Prize, which is awarded by the International Council for Industrial and Applied Mathematics (ICIAM) for his contributions to applications in imaging and shape recovery in medicine, geophysics, tomography, and drop dynamics in inkjets. Other awards include the 2011 Cozzarelli Prize (joint with co-author Robert Saye) from the Proceedings of the National Academy of Science. Sethian works on the theory, algorithms, and applications of moving interfaces as they are applied to problems in fluid mechanics, materials science, and industrial processes, such as inkjet printing, semiconductor fabrication, biological and medical imaging, and geophysics.

Selected Publications

Corcos, L., Saye, R.I., and Sethian, J.A., A hybrid finite difference level set–implicit mesh discontinuous Galerkin method for multi-layer coating flows J. Comp. Phys, 507, June 2024, https://doi.org/10.1016/j.jcp.2024.112960
Saye, R.I., Rock, R., Zatorsky, A., Petrouske, B., Lu, X., and Sethian, J.A., New Insights from High-Fidelity Modeling of Industrial Rotary Bell Atomization, Proceedings National Academy of Sciences, 120, 4, Jan. 2023 https://doi.org/10.1073/pnas.2216709120
Noack, M., and Sethian, J.A., Advanced stationary and non-stationary kernel designs for domain-aware Gaussian processes, Comm. App. Math. and Comp. Science. Vol. 17, No. 1, 2022 https://doi.org/10.2140/camcos.2022.17.131
Segev-Zarko, L-A., Dahlberg, P.D., Sun, S.Y., Pelt, D.M., Kim, C.Y., Egan, E.S., Sethian, J.A., Chiu, W., Boothroyd, J.C., Cryo-electron tomography with mixed-scale dense neural networks reveals key steps in deployment of Toxoplasma invasion machinery, PNAS Nexus, 1, 4, September 2022 https://doi.org/10.1093/pnasnexus/pgac183
Yano, J., Gaffney, K.J., Gregoire, J., Hung, L., Ourmazd, A., Schrier, J., Sethian, J.A., and Toma, F., The case for data science in experimental chemistry: examples and recommendations, Nature Reviews, Chemistry, April 2022 http://doi.org/10.1038/s41570-022-00382-w
Pande, K., Donatelli, J.J., Parkinson, D.Y., Yan, H., and Sethian, J.A., Joint iterative reconstruction and 3D rigid alignment for X-ray tomography, Optics Express, Vol. 30, Issue 6, pp. 8898-8916 (2022) https://doi.org/10.1364/OE.443248
Hu, Z., Donatelli, J.J., and Sethian, J.A., Cross-correlation Analysis of X-ray Photon Correlation Spectroscopy to Extract Rotational Diffusion Coefficients, Proceedings of the National Academy of Sciences, 118, 34, 2021. https://doi.org/10.1073/pnas.2105826118
Garzon, M., Saye, R.I., and Sethian, J.A., Efficient Algorithms for Tracking Moving Interfaces in Industrial Applications: Inkjet Plotters, Electrojetting, Industrial Foams, and Rotary Bell Painting, Proceedings of the 2019 International Conference of Industrial and Applied Mathematics, ICIAM 2019 SEMA SIMAI Springer Series. https://doi/org/10.1007/978-3-030-86236-7_10
Noack, M.N., Zwart, P.H., Ushizima, D.M., Fukuto, M., Yager, K.G., Elbert, K.C, Murray, C.B., Stein, A., Doerk, G.S., Tsai, E., Li, R., Freychet, G., Zhernenkov, M., Holman, H-Y., Lee, S., Chen, L., Rotenberg, E., Weber, T., Le Goc, Y., Bohm, M., Steffens, P., Mutti, P., and Sethian, J.A., Gaussian Processes for Autonomous Data Acquisition at Large-Scale Synchrotron and Neutron Scattering Facilities, Nature Review Physics, July, 2021 https://doi.org/10.1038/s42254-021-00345-y·
Saye, R.I., and Sethian, J.A., A review of level set methods to model interfaces moving under complex physics: Recent challenges and advances, Handbook of Numerical Analysis Volume 21, 2020, Pages 509-554 https://doi.org/10.1016/bs.hna.2019.07.003
Casas, P.S., Garzon, M., Gray, L.J., and Sethian, J.A., Numerical study on electrohydrodynamic multiple droplet interactions, Phys Rev E. 100 (6-1), Dec, 2019 https://doi.org/10.1103/PhysRevE.100.063111
Wiegart, L., . Doerk, G.S., Fukuto, M., Lee, S., Li, R., Maron, G., Noack, M.N., Osuji, C.S., Rafailovich, M.H., Sethian, J.A., Shmueli, Y., Torres Arango, M., Koth, K., Yager, K.G., and Pindak, R., Instrumentation for In situ/Operando X-ray Scattering Studies of Polymer Additive Manufacturing Processes, Synchtroton Radiation News, 21, 2, 2019. https://doi.org/10.1080/08940886.2019.1582285
Karslioglu, O., Gehlmann, M., Muller, J., Nemsak, S., Sethian, J.A., Kaduwela, A., Bluhm, H., Fadley, C. An Efficient Algorithm for Automatic Structure Optimization in X ray Standing-Wave Experiments, Journal of Electron Spectrocopy and Related Phenomena, Oct., 2019 https://doi.org/10.1016/j.elspec.2018.10.006
Noack, M.N, Yager, K.G., Fukuto, M., Doerk, G.S., Li, R., and Sethian, J.A., A Kriging-Based Approach to Autonomous Experimentation with Applications to X-Ray Scattering, Scientific Reports volume 9, Article number: 11809 (2019) https://doi.org/10.1038/s41598-019-48114-3
Pelt, D.M., Batenburg, K.J., and Sethian, J.A., Improving tomographic reconstruction from limited data using Mixed-Scale Dense convolutional neural networks, Journal of Imaging, Volume 4, Issue 11, November 2018 https://doi.org/10.3390/jimaging4110128
Pandolfi, R.J., Allan, D.B., Arenholz, E., Barroso-Luque, L., Campbell, S.I., Caswell, T.A., Blair, A., De Carlo, F., Fackler, S., Fournier, A.P., Freychet, G., Fukuto, M., Gürsoy, D., Jiang, Z., Krishnan, H., Kumar, D., Kline, R.J., Li, R., Liman, C., Marchesini, S., Mehta, A., N'Diaye, A.T., Parkinson, D.Y., Parks, H., Pellouchoud, L.A., Perciano, T., Ren, F., Sahoo, S., Strzalka, J., Sunday, D., Tassone, C.J., Ushizima, D., Venkatakrishnan, S., Yager, K.G., Zwart, P.H., Sethian, J.A., and Hexemer, A., Xi-cam: A versatile interface for data visualization and analysis, Journal of Synchrotron Radiation, 25, 4, 2018. https://doi.org/10.1107/S1600577518005787
Garzon, M., Gray, L., and Sethian, J.A., Electro-hydrodynamic coalescence of droplets using an embedded potential flow, Phys. Rev. E 97, 033112 – Published 30 March 2018. https://doi.org/10.1103/PhysRevE.97.033112
Pelt, D.M., and Sethian, J.A., A mixed-scale dense convolutional neural network for image analysis, Proceedings of the National Academy of Sciences, Dec, 2017. https://doi.org/10.1073/pnas.1715832114
Garzon, M., Gray, L.J., and Sethian, J.A., Electro-hydrodynamic coalescence of droplets using an embedded potential flow, Phys. Rev. E, 97, March, 2017. https://doi.org/10.1103/PhysRevE.97.033112
Garzon, M., Sethian, J.A., and Johansson, A., Numerical Simulation of Flows Involving Singularities, Computational Mathematics, Numerical Analysis and Applications, SEMA SIMAI Springer Series, 195-199, 2017. https://doi.org/10.1007/978-3-319-49631-3_6
Perciano, T., Ushizima, D., Krishnan, H., Parkinson, D., Larson, N., Pelt, D.M., Bethel, E.W., Zok, F., and Sethian, J.A., Insight into 3D Micro-CT Data: exploring segmentation algorithms through performance metrics, Journal of Synchrotron Radiation, 23, 1065-1077, 2017 https:/doi.org/10.1107/S1600577517010955.
Donatelli, J.J., Sethian, J.A., and Zwart, P.H., Reconstruction from limited single-particle diffraction data via simultaneous determination of state, orientation, intensity, and phase, Proceedings of the National Academy of Sciences, 114, 28, 2017. https://doi.org/10.1073/pnas.1708217114
Perciano, T., Ushizima D., Bethel, E.W., Mizrahi, Y., Parkinson, D., and Sethian, J.A., Reduced-complexity image segmentation under parallel Markov Random Field formulation using graph partitioning, Image Processing (ICIP), 2016 IEEE International Conference on Image Processing, 2016. https://doi.org/10.1109/ICIP.2016.7532560
Daurer, B.J., Krishnan, H., Perciano, T., Maia, F., Shapiro, D., Sethian J.A., and Marchesini, S., Nanosurveyor: a framework for real-time data processing, Advanced Structural and Chemical Imaging2017, 3:7. https://doi.org/10.1186/s40679-017-0039-0
Marchesini, S., Krishnan, H., Daurer, B.J., Shapiro, D., Perciano, T., . Sethian, J.A., and Maia, F., SHARP: a distributed, GPU-based ptychographic solver, Journal of Applied Crystallography, 49(4), May 2016 https://doi.org/10.1107/S1600576716008074
Saye, R.I., and Sethian, J.A., 2013 International Science and Engineering Visualization Challenge, Science, 343, 6171, pp. 600-610 https://doi.org/10.1126/science.343.6171.600
Saye, R.I., and Sethian, J.A., Multiscale Modelling of Evolving Foams, Journal of Computational Physics, Volume 315, p. 273-301, 2016. https://doi.org/10.1016/j.jcp.2016.02.077
Donatelli, J.J., Zwart, P., and Sethian, J.A., Iterative phasing for fluctuation X-ray scattering, Proceedings of the National Academy of Sciences, 112, 33, , pp 10286-10291, 2015. https://doi.org/10.1073/pnas.1513738112
Preskill, B., and Sethian, J.A., Jump splicing schemes for elliptic interface problems and the incompressible Navier-Stokes equations, arxiv, 2015.
Donatelli, J.J., Haranczyk, M., Hexemer, A., Krishnan, H., Li, X., Lin, L., Maia, F., Marchesini, S., Parkinson. D., Perciano, T., Shapiro, D., Ushizima, D., Yang, C., and Sethian, J.A., CAMERA: The Center for Advanced Mathematics for Energy Research Applications, Synchrotron Radiation News, April 2015. https://doi.org/10.1080/08940886.2015.1013413
Johansson, A., Garzon, M., and Sethian, J.A., A three-dimensional coupled Nitsche and level set method for electrohydrodynamic potential flows in moving domain, Journal Computational Physics, 309, 1-386, 2016 https://doi.org/10.1016/j.jcp.2015.12.026
Ushizima, D., Perciano, T., Krishnan, H., Loring, B., Bale, H., Parkinson, D., and Sethian, J.A., Structure Recognition from High Resolution Images of Ceramic Composites, IEEE International Conference on Big Data 2014. Washington DC, 2014. https://doi.org/10.1109/BigData.2014.7004292
Venugopalan, V., Camarillo, D., Webster, K.D., . Reber, C.D., Sethian, J.A., Weaver, V.M., Fletcher, D.A., El-Samad, H., and Rycroft, C.H., Multicellular architecture of malignant breast epithelia influences mechanics, PLOS-One, August 11, 2014, https://doi.org10.1371/journal.pone.0101955
Garzon, M., Gray, L.J, and Sethian, J.A., Numerical simulations of electrostatically driven jets from nonviscous droplets, Phys. Rev. E 89, 033011, 13 March 2014, https://doi.org/10.1103/PhysRevE.89.033011
Donatelli, J.J., and Sethian, J.A., An algorithmic framework for x-ray nanocrystallographic reconstruction in the presence of the indexing ambiguity, Proceedings National Academy of Sciences, 111, 2, 2014. https://doi.org/10.1073/pnas.1321790111
Shi, W., Ghosh, R.P., Engleke, H., Rycroft, C.H., Cassereau, L., Sethian, J.A., Weaver, V., and Liphardt, J., Rapid disorganization of mechanically interacting systems of mammary acini Proceedings National Academy of Sciences, 111, 2, pp. 658-663, 2013. https://doi.org/10.1073/pnas.1311312110
Saye, R.I., and Sethian, J.A., Multi-scale Modelling of Membrane Rearrangement, Drainage, and Rupture in Evolving Foams, Science Magazine, Vol. 340 no. 6133 pp. 720-724, 2013. https:/doi.org/10.1126/science.1230623
Suckale, J., Sethian, J.A., Yu, J.D., and Elkins-Tanton, L., Crystals stirred up: 2. Numerical insights into the formation of the earliest crust on the Moon, Journal of Geophysical Research, Vol. 117, E08005, 21 PP., 2012 https://doi.org/10.1029/2012JE004067
Suckale, J., Sethian, J.A., Yu, J.D., and Elkins-Tanton, L., Crystals stirred up: 1. Direct numerical simulations of crystal settling in nondilute magmatic suspensions, Journal of Geophysical Research, Vol. 117, E08004, 17 PP., 2012 https://doi.org/10.1029/2012JE004067
Saye, R.I., and Sethian, J.A., The Voronoi Implicit Interface Method and Computational Challenges in Multiphase Physics, Milan Journal of Mathematics, Vol. 80, No. 1, 2012. https://doi.org/10.1007/s00032-012-0187-6
Ushizima, D., Morozov, D., Weber, G., Bianchi, A., Sethian, J.A., and Bethel, E.W., Augmented Topological Descriptors of Pore Networks for Material Science, IEEE Transactions on Visualization and Computer Graphics (Proceedings IEEE Vis 2012), 18, pp. 2041-2050, 2012. https://doi.org/10.1109/TVCG.2012.200
Saye, R.I.,, and Sethian, J.A., Analysis and Applications of the Voronoi Implicit Interface Method, Journal Computational Physics, 231, 18, Pages 6051-6085, (2012) https://doi.org/10.1016/j.jcp.2012.04.004
Saye, R.I., and Sethian, J.A., The Voronoi Implicit Interface Method for Computing Multiphase Physics, Proc. Nat. Acad. Sci., vol 108, 49, pp. 19498 -- 19503, Cctober, 2011. https://doi.org/10.1073/pnas.1111557108
Martin, R., Prabhat, Donofrio, D., Sethian, J.A., and Haranczyk, M., Accelerating analysis of void space in porous materials on multicore and GPU platforms, International Journal of High Performance Computing, February 5, 2012 https://doi.org/10.1177/1094342011431591
Haranczyk, M., and Sethian, J.A., Automatic Structure Analysis in High-Throughput Characterization of Porous Materials, J. Chem. Theory Comput., 2010, 6 (11), pp 3472, 3480 https://doi.org/10.1021/ct100433z
Garzon, M., Gray, L.J., and Sethian, J.A., Droplet and bubble pinch-off computations using level sets, Journal of Computational and Applied Mathematics, Volume 236, Issue 12, June 2012, https://doi.org/10.1016/j.cam.2011.03.032
Garzon, M., Gray, L.J., and Sethian, J.A., Simulation of the droplet-to-bubble transition in a two-fluid system, Physics Review E, 83, 4, 2011. https://doi.org/10.1103/PhysRevE.83.046318
Garzon, M., Gray, L.J., and Sethian, J.A., Axisymmetric boundary integral formulation for a two fluid system, Int. J. Numer. Meth. Fluids 2012; 69:1124-1134. https://doi.org/10.1002/fld.2633
Sethian, J.A., Suckale, J., and Elkins-Tanton, L., Bubble stability in vigorous convection: Ramifications for magma-ocean degassing and formation of an early atmosphere, American Geophysical Union Abstracts, \#P31A-1231, San Francisco, December 2009.
Suckale, J., Elkins-Tanton, L, Sethian, J.A., and Yu, J-D, Simulations of solid-fluid coupling with application to crystal entrainment in vigorous convection, American Geophysical Union Abstracts, \#DI22A-08, San Francisco, December 2009.
Haranczyk, M., and Sethian, J.A., Navigating Molecular Worms Inside Chemical Labyrinths, PNAS, 106, pp. 21472-21477, 2009. https://doi.org/10.1073/pnas.0910016106
Garzon, M., Gray, L.J., and Sethian, J.A., Numerical simulation of non-viscous liquid pinch off using a coupled level set-boundary integral method, Journal Computational Physics, 228, 17, pp. 6079-6106, 2009 https://doi.org/10.1016/j.jcp.2009.04.048
Cameron, M., Fomel, S., and Sethian, J.A., Analysis and algorithms for a regularized cauchy problem arising from a non-linear elliptic PDE for seismic velocity estimation, Journal Computational Physics, 228, 7388-7411, 2009. https://doi.org/10.1016/j.jcp.2009.06.036
Garzon, M., Bobillo-Ares, N., and Sethian, J.A., Some free boundary problems in potential flow regime using a Level Set method, Nova Publishers, "Recent Advances in Fluid Mechanics", 2008.
Huh, J., and Sethian, J.A., Exact Sub-Grid Interface Correction Schemes for Elliptic Interface Problems, Proc. Nat. Acad, Sciences, 105, pp. 9874, 2008. https://doi.org/10.1073/pnas.0707997105
Sethian, J.A., and Shan, Y., Solving Partial Differential Equations on Irregular Domains with Moving Interfaces, with Applications to Superconformal Electrodeposition in Semiconductor Manufacturing, J. Comp. Phys, 227, 13, 2008 https://doi.org/10.1016/j.jcp.2008.03.001
Andrews, J., and Sethian, J.A., Fast Marching Methods for the Continuous Traveling Salesman Problems, Proceedings National Academy of Sciences, v. 104, 4, 2007, pp. 1118-1123. https://doi.org/10.1073/pnas.0609910104
Cameron, M., Fomel, S. and Sethian, J.A., Seismic Velocity Estimation using Time Migration Velocities, Inverse Problems, v. 23, 1329,1369, 2007. https://doi.org/10.1088/0266-5611/23/4/001
Cameron, M., Fomel, S. and Sethian, J.A., Seismic velocity estimation and time-to-depth conversion of time-migrated images, SVIP 1.7) SEG conference 2006, New Orleans, LA. https://doi.org/10.1190/1.2370164
Yu, J.D. Sakai, S., and Sethian, J.A., Two-Phase Viscoelastic Jetting, Journal of Computational Physics, 220, 2, pp. 568-585, 2007 https://doi.org/10.1016/j.jcp.2006.05.020
Garzon, M., and Sethian, J.A., Wave breaking over sloping beaches using a coupled boundary integral-level set method, Internat. Ser. Numer. Math. 154 (2006), pp. 189-198.
Yu, J.D. Sakai, S., and Sethian, J.A., A Coupled Quadrilateral Grid Level Set Projection Method Applied to Ink Jet Simulation, J. Computational Physics, 206, 1, pp. 227-251, 2005. https://doi.org/10.1016/j.jcp.2004.12.012
Hogea, C., Murray, B.T., and Sethian, J.A., Simulating Complex Tumor Dynamics from Avascular to Vascular Growth using a General Level Set Method, J. Mathematical Biology, 53, 1, 2005. https://doi.org/10.1007/s00285-006-0378-2
Hogea, C., Murray, B.T., and Sethian, J.A., Computational Modeling of Solid Tumor Evolution via a General Cartesian Mesh/level set method, Fluid Dynamics \& Materials Processing, Vol., 1, 2, 2005.
Garzon, M., Adalsteinsson, D.A., Gray, L.J., and Sethian, J.A., Wave Breaking over Sloping Beaches using a Coupled Boundary Integral-Level Set Method, Interfaces and Free Boundaries, 7, 3, pp. 229-239, 2005 [A] https://doi.org/10.1007/978-3-7643-7719-9_19
Sethian, J.A., Modern Interface Methods for Semiconductor Process Simulation, Handbook of Materials Modeling, Ed. S. Yip, 1359-1369, 2005. http://doi.org/10.1007/978-1-4020-3286-8_67
Sethian, J.A., Wilkening, J., and Borucki, L., Analysis of Stress Driven Grain Boundary Diffusion, Part II, SIAM J. Appl. Math., 64, 6, 1864-1886, 2004. https://doi.org/10.1137/S0036139903438247
Sethian, J.A., Wilkening, J., and Borucki, L., Analysis of Stress Driven Grain Boundary Diffusion, Part I, SIAM J. Appl. Math., 64, 6, 1839-1863, 2004. https://doi.org/10.1137/S003613990343823
Sethian, J.A., and Wilkening, J., A numerical model of stress driven grain boundary diffusion, J. Comp. Phys., 193, 1, pp. 275-305, 2003. https://doi.org/10.1016/j.jcp.2003.08.015
Yu, J.D. Sakai, S., and Sethian, J.A., A Coupled Level Set Projection Method Applied to Ink Jet Simulation, Interfaces and Free Boundaries, 193, No. 1, pp 275-305, 2003. https://doi.org/10.1016/j.jcp.2004.12.012
Sethian, J.A., and Vladimirsky, A., Ordered Upwinds Methods for Hybrid Control, Proceedings Fifth International Conference on Hybrid Systems and Control, Ed. C. Tomlin and M.R. Greenstreet, LCNS 2289, Springer, pp. 393, 2002. https://doi.org/10.1007/3-540-45873-5_31
Adalsteinsson, D.A., and Sethian, J.A., Transport and Diffusion of Material Quantities on Propagating Interfaces via Level Set Methods, J. Comp. Phys, 185, 1, 2002. https://doi.org/10.1016/S0021-9991(02)0005s
Sethian, J.A., and Semereka, P., Level Set Methods for Fluid Interfaces, Annual Review of Fluid Mechanics, 35, 2003. https://doi.org/10.1146/annurev.fluid.35.101101.161105
Fomel, S., and Sethian, J.A., Fast Phase Space Computation of Multiple Arrivals, Proceedings of the National Academy of Sciences, 99, 11, 2002. https://doi.org/10.1073/pnas.102476599
Sethian, J.A., and Vladimirsy, A., Ordered Upwind Methods for Static Hamilton-Jacobi Equations: Theory and Algorithms, SIAM J. Numer. Anal., 41, 1, 2003 https://doi.org/10.1137/S0036142901392742
Sethian, J.A., Fast algorithms for optimal control, anisotropic front propagation and multiple arrivals, Proceedings of the International Congress Mathematicians, Beijing 3, 2002.
Malladi, R., and Sethian, J.A., Fast Methods for Shape Extraction in Medical and Biomedical Imaging, in Geometric Methods in Biomedical Image Analysis, Ed. R. Malladi, Springer Verlag, 2002 http://doi.org/10.1007/978-3-642-55987-7_1
Phan, A.V., Kaplan, T., Gray, L.J., Adalsteinsson, D., Sethian, J.A., Barvosa-Carter, W., Aziz, M.J., Modeling a Growth Instability in a Stressed Solid, Modelling and Simulation Materials Science Engineering, 9, 2001. https://doi.org/10.1088/0965-0393/9/4/305
Sethian, J.A., and Vladimirsy, A., Ordered Upwind Methods for Static Hamilton-Jacobi Equations, Proceedings of the National Academy of Sciences, 98, 20, 2001 https://doi.org/10.1073/pnas.201222998
Sethian, J.A., Evolution, Implementation, and Application of Level Set and Fast Marching Methods for Advancing Fronts, J. Comp. Phys., vol. 169, 2001. https://doi.org/10.1006/jcph.2000.6657
Sarti, A., Malladi, R., and Sethian, J.A., Subjective Surfaces: a Geometric Model for Boundary Completion, International Journal of Computer Vision 46, 2002. https://doi.org/10.1023/A:1014028906229
Sarti, A., Malladi, R., and Sethian, J.A., Subjective surfaces: A method for completing missing boundaries, Proc. Nat. Acad. Sciences, 97, 2000. https://doi.org/10.1073/pnas.110135797
Kimmel, R., and Sethian, J.A., Optimal Algorithm for Shape from Shading and Path Planning, Journal of Mathematical Imaging and Vision 14, 2001. https://doi.org/10.1023/A:1011234012449
Sethian, J.A., and Wiegmann, A., Structural Boundary Design via Level Set and Immersed Interface Methods, J. Comp. Phys., 163, 2, Sep 2000 https://doi.org/10.1006/jcph.2000.6581
Vladimirsky, A., and Sethian, J.A., Fast Methods for the Eikonal and Related Hamilton-Jacobi Equations on Unstructured Mesh, Proceedings of the National Academy of Sciences, 97, pp. 5699-5703, 2000. https://doi.org/10.1073/pnas.090060097
Sethian, J.A., Computational Methods for Advancing Interface, Proceedings, Conference on Interfaces in the 21st Century, Monterey, Aug, 1999, Eds. M. Smith, M. Miksis, G. McFadden, and D. Canright, World Scientific, 2002
Sethian, J.A., Advancing Interfaces: Level Set and Fast Marching Methods, Plenary Address, Proceedings of the International Congress on Industrial and Applied Mathematics, 1999.
Chopp D.L., and Sethian, J.A., Motion by Intrinsic Laplacian of Curvature Marching Methods, Interfaces and Free Boundaries, 1, 107--123, 1999.
Kimmel, R., and Sethian, J.A., Fast Voronoi Diagrams and Offsets on Triangulated Surfaces, Proceedings of AFA Conference on Curves and Surfaces, Saint-Malo, France, July, 1999 [AP]
Sethian, J.A., Fast Marching Methods, SIAM Review, 41,2, 1999, pp. 199-235. https://doi.org/10.1137/S0036144598347059
Sethian, J.A., Level Set Methods and Fast Marching Methods, Cambridge University Press, 1999.
Barth, T.J., and Sethian, J.A., Implementation of Hamilton-Jacobi and Level Set Equations on Triangulated Domains, von Karman Institute Lecture Series, Computational Fluid Mechanics, 1998.
Sethian, J.A., Fast Marching Methods and Level Set Methods for Propagating Interfaces, von Karman Institute Lecture Series, Computational Fluid Mechanics, 1998.
Kimmel, R., and Sethian, J.A., Computing Geodesic Paths on Manifolds, Proc. Nat. Acad. Sci., 37, 1, pp. 5253-5261, 1998. https://doi.org/10.1073/pnas.95.15.8431
Adalsteinsson, D.A., and Sethian, J.A., The Fast Construction of Extension Velocities in Level Set Methods, J. Comp. Phys., 148, 1999, pp. 2-22. https://doi.org/10.1006/jcph.1998.6090
Sethian, J.A., Adaptive Fast Marching and Level Set Methods for Propagating Interfaces, Acta Numerica, Proceedings of ALGORITMY '97, Zuberec, 1997. https://doi.org/10.1006/jcph.1998.6090
Barth, T., and Sethian, J.A., Numerical Schemes for the Hamilton-Jacobi and Level Set Equations on Triangulated Domains, J. Comp. Phys., 145, 1, pp. 1-40, 1998. https://doi.org/10.1006/jcph.1998.6007
Three dimensional traveltimes computation using the Fast Marching Method, 64,2, Geophysics, 1999. https://doi.org/10.1190/1.1444558
Malladi, R., and Sethian, J.A., A Real-Time Algorithm for Medical Shape Recovery, in Proceedings of ICCV '98, Bombay India, pp. 304-310, 1998.
Malladi, R., and Sethian, J.A., Image Smoothing and Enhancement via Min/Max Curvature Flow, Proceedings of SPIE Conference on Image and Video Processing IV, Vol. 2666, pp. 84-96, San Jose, CA, Feb. 1996. https://doi.org/10.1073/pnas.92.15.7046
Malladi, R., Kimmel, R., Adansteinsson, D.A., Sapiro, G., Caselles, V., and Sethian, J.A., A Geometric Approach to Segmentation and Analysis of 3D Medical Images, Proceedings of IEEE/SIAM Workshop on Mathematical Methods in Biomedical Image Analysis, pp. 244-252, San Francisco, CA, June 1996. http://doi.org/10.1109/MMBIA.1996.534076
Malladi, R., and Sethian, J.A., Level Set and Fast Marching Methods in Image Processing and Computer Vision, Proceedings of IEEE International Conference on Image Processing, Lausanne, Switzerland, Sept. 16-19, 1996. htttps:/doi.org/10.1109/ICIP.1996.559540
Adalsteinsson, D., Rey, J., and Sethian, J.A., Void Development in Plasma Enhanced CVD Models, Proceedings Third International Dielectrics for VLSI/ULCI Multilevel Interconnection Conference, Santa Clara, California, Feb,. 1997.
Adalsteinsson, D.A., and Sethian, J.A., A Level Set Approach to a Unified Model for Etching, Deposition, and Lithography, III: Re-Deposition, Re-Emission, Surface Diffusion, and Complex Simulations, J. Comp. Phys., 138, 1, pp. 193-223, 1997. https://doi.org/10.1006/jcph.1997.5817
Malladi, R., and Sethian, J.A., Level Set Methods for Curvature Flow, Image Enchancement, and Shape Recovery in Medical Images, H.C. Hege, K. Polthier (eds), Visualization and Mathematics, Springer, Berlin, Heidelberg, New York, pp. 329--345, 1997. https://doi.org/10.1007/978-3-642-59195-2_21
Malladi, R., and Sethian, J.A., An O(N log N) Algorithm for Shape Modeling, Proceedings of the National Academy of Sciences, Vol. 93, pp. 9389-9392, September 1996. https://doi.org/10.1073/pnas.93.18.9389
Adalsteinsson, D., Rey, J., and Sethian, J.A., Etching and Deposition Modeling Using Level Set Methods, 13th International VMIC Meeting, Santa Clara, California, June 18th-20th, 1996.
Sethian, J.A., Tracking Interfaces with Level Sets, Amerian Scientist, May-June, 1997.
Sethian, J.A., and Adalsteinsson, D.A., An Overview of Level Set Methods for Etching, Deposition, and Lithography Development, IEEE Transactions on Semiconductor Devices, 1996. 10, 1, pp.167-184. https://doi.org/10.1109/66.554505
Sethian, J.A., Level Set Methods; Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Material Sciences, Cambridge University Press, 1996.
Adalsteinsson, D., Rey, J. and Sethian, J.A., High Density Plasma Deposition Modeling Using Level Set Methods, Proceedings Second International Dielectrics for VLSI/ULCI Multilevel Interconnection Conference, Santa Clara, California, pp. 116-123, Feb,. 1996.
Sethian, J.A., Fast Marching Level Set Methods for Three-Dimensional Photolithography Development, Proceedings, SPIE 1996 International Symposium on Microlithography, Santa Clara, California, March, 1996. https://doi.org/10.1117/12.240962
Sethian, J.A., A Fast Marching Level Set Method for Monotonically Advancing Fronts, Proceedings of the National Academy of Sciences, 93, 4, 1996. https://doi.org/10.1073/pnas.93.4.1591
Sethian, J.A., Theory, Numerics, and Algorithms of Level Set Techniques for Propagating Interfaces, Acta Numerica, 1996. http://doi.org/10.1017/S0962492900002671
Malladi, R., .and Sethian, J.A., A Unified Approach to Noise Removal, Image Enhancement, and Shape Recovery, IEEE Transactions on Image Processing, 5, 11, pp. 1154-1168, 1996. http://doi.org/10.1109/83.541425.
Sethian, J.A., Level Set Techniques for Tracking Interfaces; Fast Algorithms, Multiple Regions, Grid Generation and Shape/Character Recognition, Proceedings of the Levico Conference, 1994, Ed. A. Damlamian, J. Spruck, and A. Visintin, Gakuto International Series, Vol. 5, Tokyo, 1995.
Malladi, R., and Sethian, J.A., Image Processing: Flows under Min/Max Curvature and Mean Curvature, Graphical Models in Image Processing, 58(2), pp. 127-141, March, 1996. https://doi.org/10.1006/gmip.1996.0011
Malladi, R., and Sethian, J.A., Image Processing via Level Set Curvature Flow, Proceedings of the National Academy of Sciences, Vol. 92(15), pp. 7046--7050, July 1995. https://doi.org/10.1073/pnas.92.15.7046
Sethian, J.A., Algorithms for Tracking Interfaces in CFD and Material Science, Annual Review of Computational Fluid Mechanics, 1995.
Adalsteinsson, D., and Sethian, J.A., A Level Set Approach to a Unified Model for Etching, Deposition, and Lithography, II: Three-dimensional Simulations, J. Comp. Phys., Vol. 122, No. 2, pp. 348-366, 1995. https://doi.org/10.1006/jcph.1995.1221
Adalsteinsson, D., and Sethian, J.A., A Level Set Approach to a Unified Model for Etching, Deposition, and Lithography, I: Two-dimensional Simulations, Jour. Comp. Phys. Vol. 120, No. 1, pp. 128-144, 1995. https://doi.org/10.1006/jcph.1995.1153
Malladi, R., and Sethian, J.A., Unified Framework for Shape Segmentation, Representation and Recognition, Center for Pure and Applied Mathematics, Report 614, University of California, Berkeley, 1994.
Rhee, C.W., Talbot, L., and Sethian, J.A., Dynamical Behavior of a Premixed Turbulent Open V-Flame, J. Fluid Mechanics, 300, pp. 87--115, 1995. https://doi.org/10.1017/s0022112095003624
Sethian, J.A., Curvature Flow and Entropy Conditions Applied to Grid Generation, J. Comp. Phys., 1994 115, 2, pp. 440-454. https://doi.org/10.1006/jcph.1994.1209
Adalsteinsson, D., and Sethian, J.A,, A Fast Level Set Method for Propagating Interfaces, J. Comp. Physics, 118, pp.269-277, 1995. https://doi.org/10.1006/jcph.1995.1098
Ligocki, T. and Sethian, J.A., Recognizing Knots Using Simulated Annealing, Journal of Knot Theory and its Ramifications, Vol. 3, No. 4, 1994. https://doi.org/10.1142/S0218216594000356
Sethian, J.A., Computational Fluid Mechanics and Massively Parallel Processors, IEEE Supercomputer '93, Portland, Oregon, IEEE Publications, pp.74-82, ACM Transactions, 1993. https://doi.org/10.1145/169627.169660
Sethian, J.A., and Chopp, D.L., Physics and Geometry of Flow under Curvature; Singularity Formation, Minimal Surfaces, Geodesics, and Surface Tension, in Motion by Mean Curvature, Proceedings of the International Conference, Eds. Buttazzo, G., and Visintin, A., Walter de Gruyter, New York, pp.168-185, 1994. https://doi.org/10.1515/9783110870473.168
Malladi, R., Sethian, J.A., and Vemuri, B., A Fast Level Set based Algorithm for Topology-Independent Shape, J. Mathematical Imaging and Vision, Special issue on Topolgy and Geometry in Computer Vision, (1996), Vol. 6, pp. 269-289, 1996. https://doi.org/10.1007/BF00119843
Malladi, R., Sethian, J.A., and Vemuri, B., Shape Modeling with Front Propagation: A Level Set Approach, IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 17, No. 2, February 1995. https://doi/org/10.1109/34.368173
Malladi, R., Sethian, J.A., and Vemuri, B., Evolutionary Fronts for Topology-Independent Shape Modeling Recovery, in Proceedings of the Third European Conference on Computer Vision, LNCS Vol. 800, pp. 3--13, Stockholm, Sweden, May 1994.
Malladi, R., Sethian, J.A., and Vemuri, B., Front Propagation: A Framework for Shape Modeling and Image Segmentation, in Proceedings of the AAAI Spring Symposium Series on the Applications of Computer Vision in Medical Image Processing, Stanford University, CA, March 21-23, 1994.
Malladi, R., Sethian, J.A., and Vemuri, B., A Topology Independent Shape Modeling Scheme, Proceedings of SPIE Conference on Geometric Methods in Computer Vision II, Vol. 2031, San Diego, California, pp. 246--258, July 1993. https:/doi/org/10.1117/12.146630
Lowther, K., Salem, J.B., and Sethian, J.A., An Interactive, Animated Visualization Environment for Three-dimensional Fluid Flow, International Journal on Supercomputer Applications, 7, 4, 1993. https://doi.org/10.1177/109434209300700401
Sethian, J.A., Greenberg, A., and Mesirov, J.P., Programming Direct $N$-Body Solvers on Connection Machines, Thinking Machines Corporation, 1992.
Chopp, D.L., and Sethian, J.A., Flow under Curvature: Singularity Formation, Minimal Surfaces, and Geodesics, J. Exper. Math., v. 2, No. 4, pp. 235-255, 1993. https://doi.org/10.1080/10586458.1993.10504566
Sethian, J.A., Brunet, J.P., Greenberg, A., and Mesirov, J.P., Computing Turbulent Flow in Complex Geometries on a Massively Parallel Processor, IEEE Publications, Supercomputer 91, pp. 230-241, (1991). https/doi.org:/10.1145/125826.125954.
Sethian, J.A., and Strain, J., Algorithms for Computing Crystal Growth and Dendritic Solidification, Institute of Mathematics and its Applications, University of Minnesota, pp. 107-126 (1992). https://doi.org/10.1007/978-1-4613-9211-8_8
Zhu, J., and Sethian, J.A., Projection Methods Coupled to Level Set Interface Techniques, J. Comp. Phys., 102, 1, pp.128-138, 1992. https://doi.org/10.1016/S0021-9991(05)80011-7
Sethian, J.A., Computing the Motion of Curves and Evolving Surfaces, in Computing Optimal Geometries, J. Taylor, Ed. American Mathematical Society Publications, Video Publications, 1991.
Sethian, J.A., Turbulence, Fluid Mechanics, and Massively Parallel Machines, in Conference on Very-Large-Scale-Scientific Computing, Cape Cod, MA, 1990, J. Mesirov, Ed. SIAM Press, Philadelphia, pp. 77-86 (1991).
Sethian, J.A., Brunet, J.P., Greenberg, A., and Mesirov, J.P., Vortex Methods and Massively Parallel Processors, in Vortex Methods, Eds. C. Anderson and C. Greengard, Lectures in Applied Mathematics, Vol. 28, American Mathematical Society, pp. 597-612 (1991).
Sethian, J.A., Brunet, J.P., Greenberg, A., and Mesirov, J.P., A Parallel Implementation of the Random Vortex Method, in Plenary Lectures and Expanded Selected Papers from the IMACS 1st International Conference on Computational Physics, Boulder, USA, 11-15 June 1990, Editors: K. Gustafson and W. Wyss, North-Holland, Elsevier-Science Publications, B.V., The Netherlands, 1991. https://doi.org/10.1016/0010-4655(91)90176-L
Sethian, J.A., Brunet, J.P., Greenberg, A., and Mesirov, J.P., Two-Dimensional, Viscous, Incompressible Flow on a Massively Parallel Processor, J. Comp, Phys. 101, 1, pp. 185-206 (1992). https://doi.org/10.1016/0021-9991(92)90052-Z
Sethian, J.A., and Strain, J.. Crystal Growth and Dendrite Formation, J. Comp. Phys. 98, 2, pp. 231-253, (1992). https://doi.org/10.1016/0021-9991(92)90140-T
Mulder, W., Osher, S.J., and Sethian, J.A., Computing Interface Motion in Compressible Gas Dynamics, J. Comp. Phys., 100, 2, pp. 209-228 (1992). https://doi.org/10.1016/0021-9991(92)90229-R
Sethian, J.A., and Salem, J.B., Animation Tools for Interactive Flow Visualization, Transactions of the American Nuclear Society, 1990. https://doi.org/10.1177/109434208900300203
Sethian, J.A., A Gallery of Fluid Motion using Vortex Methods, in Vortex Methods and Vortex Motion, Eds. K. Gustafson and J.A. Sethian, SIAM Publications, Philadelphia, 1991. https://doi.org/10.1137/1.9781611971736.ch3
Sethian, J.A., A Brief Overview of Vortex Methods, in Vortex Methods and Vortex Motion, Eds. K. Gustafson and J.A. Sethian, SIAM Publications, Philadelphia, 1991. https://doi.org/10.1137/1.9781611971736.ch1
Sethian, J.A., Vortex Methods and Vortex Motion, Eds. K. Gustafson and J.A. Sethian, SIAM Publications, Philadelphia, 1991. https://doi.org/10.1137/1.9781611971736
Johnston, W.E., Robertson, D.W., Hall, D.E., Huang, J., Renema, F., Rible, M., \& Sethian, J.A., Video-Based Scientific Visualization, in Geometric Analysis and Computer Graphics, P. Concus, R. Finn, D. Hoffman, Eds., Mathematical Sciences Research Institute Publications, Springer-Verlag, 1991. https://doi.org/10.1007/978-1-4613-9711-3_10
Sethian, J.A., The Collapse of a Dumbbell Moving Under its Mean Curvature, in Geometric Analysis and Computer Graphics, P. Concus, R. Finn, D. Hoffman, Eds., Mathematical Sciences Research Institute Publications, Springer-Verlag, 1991. https://doi.org/10.1007/978-1-4613-9711-3_17
Sethian, J.A., A Review of Recent Numerical Algorithms for Hypersurfaces Moving with Curvature-Dependent Speed, J. of Diff. Geom., 31, pp. 131-161, 1989. https://doi.org/10.4310/jdg/1214444092
Salem, J.B. and Sethian, J.A., A Connection Machine Implementation of Tracer Flow Particle Visualization, in Proceedings of the Conference on Scientific Applications of the Connection Machine, Ed. Simon, H., World Scientific, New Jersey, 1989. https://doi.org/10.1142/1624
Sethian, J.A., and Salem, J.B., Animation of Interactive Flow Visualization Tools on a Data Parallel Machine, Inter. Jour. SuperComp. Appl., 3.2, 1989. https://doi.org/10.1177/109434208900300203
Sethian, J.A., On Measuring the Accuracy of the Vortex Method: On Using a Random Method to Model Stable and Unstable Flow, in Vortex Methods, C. Anderson and C. Greengard, Eds., Lecture Notes in Mathematics, 1360, Springer-Verlag, New York, 1988. https://doi.org/10.1007/BFb0089773
Sethian, J.A., Salem, J.B., and Ghoniem, A.F., Interactive Scientific Visualization and Parallel Display Techniques, Proceedings of Supercomputing '88, IEEE, Lake Buena Vista, Florida, 1988. https://doi.org/10.1109/SUPERC.1988.44646
Sethian, J.A. and Osher, S.J., The Design of Algorithms for Hypersurfaces moving with Curvature-Dependent Speed, in Nonlinear Hyperbolic Equations-Theory, Numerical Methods, and Applications, Notes on Numerical Fluid Mechanics, 24, Ballman, J. and Jeltsch, R. Eds., Vieweg, 1988. https://doi.org/10.1007/978-3-322-87869-4_53
Osher, S.J., and Sethian, J.A., Fronts Propagating with Curvature-Dependent Speed: Algorithms based on Hamilton-Jacobi Formulations, J. Comp. Phys., 79, pp.12-49, 1988. https://doi.org/10.1016/0021-9991(88)90002-2
Sethian, J.A., and Ghoniem, A., Validation Study for Vortex Methods, Jour. Comput. Phys., 74, 283, 1988. https://doi.org/10.1016/0021-9991(88)90082-4
Sethian, J.A., Large Eddy Interaction with Propagating Flames, in "Computational Fluid Mechanics and Reacting Gas Flows", Editors: B. Engquist, A. Majda, Institute for Mathematics and Its Applications, IMA Vol. 12, 1988. https://doi.org/10.1007/978-1-4612-3882-9_16
Sethian, J.A., Numerical Methods for Propagating Fronts, in Variational Methods for Free Surface Interfaces, Editors: P. Concus and R. Finn, Springer-Verlag, 1987. https://doi.org/10.1007/978-1-4612-4656-5_18
Ghoniem, A., and Sethian, J.A., Effect of Reynolds Number on the Structure of Recirculating Flow, AIAA Journal, 25, 1, 1987. https://doi.org/10.2514/3.9599
Ghoniem, A., and Sethian, J.A., Dynamics of Turbulent Structure in a Recirculating Flow; A Computational Study, AIAA 23rd Aerospace Sciences Meeting, AIAA-85-0146, Reno, Nevada, Jan.14-17, 1985. https://doi.org/10.2514/6.1985-146
Sethian, J.A., Curvature and the Evolution of Fronts, Communications of Mathematical Physics, 101, 4, 1985. https://doi.org/10.1007/BF01210742
Sethian, J.A., Vortex Methods and Turbulent Combustion, American Mathematical Society Publications, Lectures in Applied Mathematics, 22, 1985.
Majda, A., and Sethian, J.A., Derivation and Numerical Solution of the Equations of Low Mach Number Combustion, Combustion Science and Technology, 42, 1984. https://doi.org/10.1080/00102208508960376
Cox, P.A., and Sethian, J.A., Gamete Motion, Search, and the Evolution of Anisogamy, Oogamy and Chemotaxis, American Naturalist, 125, January, 1985. https://doi.org/10.1086/284329
Cox, P.A., and Sethian, J.A., Search, Encounter Rates and the Evolution of Anisogamy, Proceedings of the National Academy of Sciences, Evolution 81, 1984. http://doi.org/10.1073/pnas.81.19.6078
Kostlan, E., Concus, P., and Sethian J.A., Capillary Pressure and the Modified Random Choice Method for Porous Flow, Proceedings of the Sixth International Conference on Computing Methods in Applied Sciences and Engineering, Versailles, France, Dec. 12-16, l983.
Sethian, J.A., Chorin, A.J., and Concus, P., Numerical Solution of the Buckley Leverett Equations, Proceedings, Seventh Society of Petroleum Engineers Reservoir Simulation Symposium, San Francisco, California, November 1983. https://doi.org/10.2118/12254-MS
Colella, P., Concus, P., and Sethian, J.A., Some Numerical Methods for Discontinuous Flows in Porous Media, The Mathematics of Reservoir Simulation, R. Ewing, Editor, SIAM Volume on Frontiers in Applied Mathematics, SIAM Publications, Philadelphia, PA., l984, https://doi.org/10.1137/1.9781611971071.ch5
Sethian, J.A., Numerical Simulation of Flame Propagation in a Closed Vessel, Notes on Numerical Fluid Mechanics, Editors: Pandolfi, M. and Piva, R., Proceedings of the Fifth GAMM-Conference on Numerical Methods in Fluid Mechanics, Rome, October 5-7, 1983, Friedr. Vieweg \& Sohn, Braunschweig/Wiesbaden, 1984.
Sethian, J.A., The Wrinkling of a Flame Due to Viscosity, Fire Dynamics and Heat Transfer, Editors: J.G. Quintiere, R.A. Alpert and R.A. Altenkirch, HTD, ASME, New York, New York, 25, 1983.
Sethian, J.A. Turbulent Combustion in Open and Closed Vessels, Journal of Computational Physics, 54, 3, June 1984. https://doi.org/10.1016/0021-9991(84)90126-8
Sethian, J.A. An Analysis of Flame Propagation, (PhD Thesis), University of California, Berkeley. Lawrence Berkeley Laboratory Report 14125, June, 1982
Sethian, J. A., Durran, D., Dee, D., & Williamson, D. L. Normal Modes of an Atmospheric Prediction Model (No. NCAR/TN-186+STR). University Corporation for Atmospheric Research (1981) http://doi.org/10.5065/D6R20Z92