Recent Advances in the Level Set Method

[1]  Kensuke Yokoi.  Numerical method for a moving solid object in flows. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Bruno Golosio,et al.  Feature extraction from mammographic images using fast marching methods , 2002 .

[3]  L. Evans,et al.  Motion of level sets by mean curvature III , 1992 .

[4]  J. Mazumder,et al.  Modelling of high-density laser-material interaction using fast level set method , 2001 .

[5]  Simulating a double casting technique using level set method , 2001 .

[6]  Kensuke Yokoi,et al.  Numerical method for complex moving boundary problems in a Cartesian fixed grid. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Jean-Yves Dauvignac,et al.  RECONSTRUCTION OF COMPLEX AND MULTIPLE SHAPE OBJECT CONTOURS USING A LEVEL SET METHOD , 2003 .

[8]  D. Chopp.  A Level-Set Method for Simulating Island Coarsening , 2000 .

[9]  G. Son,et al.  Numerical Simulation of Bubble Merger Process on a Single Nucleation Site During Pool Nucleate Boiling , 2002 .

[10]  S. Osher,et al.  Motion of curves in three spatial dimensions using a level set approach , 2001 .

[11]  Edmondo Bassano,et al.  Numerical simulation of thermo‐solutal‐capillary migration of a dissolving drop in a cavity , 2003 .

[12]  Jiangwen Deng,et al.  A fast level set method for segmentation of low contrast noisy biomedical images , 2002, Pattern Recognit. Lett..

[13]  Three-dimensional GSMAC-FEM simulations of the deformation process and the flow structure in the floating zone method , 2002 .

[14]  S. Pillapakkam,et al.  A level-set method for computing solutions to viscoelastic two-phase flow , 2001 .

[15]  Ronald Fedkiw,et al.  Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.

[16]  J. Sethian.  Curvature and the evolution of fronts , 1985 .

[17]  Li-Tien Cheng,et al.  A second-order-accurate symmetric discretization of the Poisson equation on irregular domains , 2002 .

[18]  G. S. Mathad,et al.  Simulations and experiments of etching of silicon in HBr plasmas for high aspect ratio features , 2002 .

[19]  T. Belytschko,et al.  Non‐planar 3D crack growth by the extended finite element and level sets—Part II: Level set update , 2002 .

[20]  Meng-Hsuan Chung,et al.  A level set approach for computing solutions to inviscid compressible flow with moving solid boundary using fixed Cartesian grids , 2001 .

[21]  Ted Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .

[22]  Xiaoming Wang,et al.  A level set method for structural topology optimization , 2003 .

[23]  Ron Kimmel,et al.  Efficient Beltrami Flow Using a Short Time Kernel , 2003, Scale-Space.

[24]  Thierry Biben,et al.  An advected-field approach to the dynamics of fluid interfaces , 2003 .

[25]  Haifa,et al.  Numerical simulation of grain-boundary grooving by level set method , 2000, cond-mat/0001449.

[26]  Mohamed-Jalal Fadili,et al.  Fast Statistical Level Sets Image Segmentation for Biomedical Applications , 2001, Scale-Space.

[27]  Martin Rumpf,et al.  A Level Set Method for Anisotropic Geometric Diffusion in 3D Image Processing , 2002, SIAM J. Appl. Math..

[28]  Ron Kimmel,et al.  On Bending Invariant Signatures for Surfaces , 2003, IEEE Trans. Pattern Anal. Mach. Intell..

[29]  David L. Chopp,et al.  A hybrid extended finite element/level set method for modeling phase transformations , 2002 .

[30]  S. Osher,et al.  Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .

[31]  Barry Koren,et al.  Riemann-problem and level-set approaches for homentropic two-fluid flow computations , 2002 .

[32]  Isaac Klapper,et al.  Finger Formation in Biofilm Layers , 2002, SIAM J. Appl. Math..

[33]  David E. Breen,et al.  A Level-Set Approach for the Metamorphosis of Solid Models , 2001, IEEE Trans. Vis. Comput. Graph..

[34]  TianGe Zhuang,et al.  Applying improved fast marching method to endocardial boundary detection in echocardiographic images , 2003, Pattern Recognit. Lett..

[35]  Y. Chen,et al.  Image registration via level-set motion: Applications to atlas-based segmentation , 2003, Medical Image Anal..

[36]  H. Udaykumar,et al.  Sharp-interface simulation of dendritic solidification of solutions , 2002 .

[37]  David L. Chopp,et al.  Computation of Self-Similar Solutions for Mean Curvature Flow , 1994, Exp. Math..

[38]  K. Sugihara,et al.  Approximation of multiplicatively weighted crystal growth Voronoi diagram and its application , 2002 .

[39]  D. Chopp.  Numerical Computation of Self-Similar Solutions for Mean Curvature Fl ow , 1993 .

[40]  U. Hansen,et al.  Multiscale approaches for metal thin film growth , 2002 .

[41]  I. Babuska,et al.  The partition of unity finite element method: Basic theory and applications , 1996 .

[42]  J. Sethian,et al.  Ordered upwind methods for static Hamilton–Jacobi equations , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[43]  David L. Chopp,et al.  Some Improvements of the Fast Marching Method , 2001, SIAM J. Sci. Comput..

[44]  M. Burger.  A level set method for inverse problems , 2001 .

[45]  Roman Goldenberg,et al.  Fast Geodesic Active Contours , 1999, Scale-Space.

[46]  S. Osher,et al.  Level Set Methods for Optimization Problems Involving Geometry and Constraints I. Frequencies of a T , 2001 .

[47]  C. Peskin.  Numerical analysis of blood flow in the heart , 1977 .

[48]  D. Chopp,et al.  Level set methods to compute minimal surfaces in a medium with exclusions (voids) , 2003 .

[49]  J. Sethian.  Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws , 1990 .

[50]  T. Belytschko,et al.  MODELING HOLES AND INCLUSIONS BY LEVEL SETS IN THE EXTENDED FINITE-ELEMENT METHOD , 2001 .

[51]  Li-Tien Cheng,et al.  Variational Problems and Partial Differential Equations on Implicit Surfaces: The Framework and Exam , 2000 .

[52]  Patrick L. Combettes,et al.  An adaptive level set method for nondifferentiable constrained image recovery , 2002, IEEE Trans. Image Process..

[53]  Ron Kimmel,et al.  Texture Mapping Using Surface Flattening via Multidimensional Scaling , 2002, IEEE Trans. Vis. Comput. Graph..

[54]  David L. Chopp,et al.  Foliations of Hyperbolic Space by Constant Mean Curvature Surfaces Sharing Ideal Boundary , 2003, Exp. Math..

[55]  L. Evans,et al.  Motion of level sets by mean curvature. II , 1992 .

[56]  Pierre Moulin,et al.  A Self-Referencing Level-Set Method for Image Reconstruction from Sparse Fourier Samples , 2004, International Journal of Computer Vision.

[57]  Fei Liu,et al.  Adaptive level set image segmentation using the Mumford and Shah functional , 2002 .

[58]  G. Allaire,et al.  A level-set method for shape optimization , 2002 .

[59]  L. Antiga,et al.  Computational geometry for patient-specific reconstruction and meshing of blood vessels from MR and CT angiography , 2003, IEEE Transactions on Medical Imaging.

[60]  Gihun Son,et al.  EFFICIENT IMPLEMENTATION OF A COUPLED LEVEL-SET AND VOLUME-OF-FLUID METHOD FOR THREE-DIMENSIONAL INCOMPRESSIBLE TWO-PHASE FLOWS , 2003 .

[61]  J. Sethian,et al.  Fast-phase space computation of multiple arrivals , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[62]  Ronen Basri,et al.  Curve Matching Using the Fast Marching Method , 2003, EMMCVPR.

[63]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[64]  G. Son.  A Numerical Method for Bubble Motion with Phase Change , 2001 .

[65]  Ian M. Mitchell,et al.  A hybrid particle level set method for improved interface capturing , 2002 .

[66]  D. Chopp,et al.  Extended finite element method and fast marching method for three-dimensional fatigue crack propagation , 2003 .

[67]  C. Spinella,et al.  Computational analysis of etched profile evolution for the derivation of 2D dopant density maps in silicon , 2003 .

[68]  Nahmkeon Hur,et al.  A COUPLED LEVEL SET AND VOLUME-OF-FLUID METHOD FOR THE BUOYANCY-DRIVEN MOTION OF FLUID PARTICLES , 2002 .

[69]  Variational model of granular flow in a three-dimensional rotating container , 2002 .

[70]  Rupert Klein,et al.  A generalized level-set/in-cell-reconstruction approach for accelerating turbulent premixed flames , 2003 .

[71]  J. K. Hunter,et al.  Reactive autophobic spreading of drops , 2002 .

[72]  T. Belytschko,et al.  Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model , 2002 .

[73]  J. Mazumder,et al.  Modeling of laser keyhole welding: Part II. simulation of keyhole evolution, velocity, temperature profile, and experimental verification , 2002 .

[74]  C. Ratsch,et al.  Homoepitaxial Ostwald ripening , 2003 .

[75]  J. A. Sethian,et al.  Fast Marching Methods , 1999, SIAM Rev..

[76]  Xiao Han,et al.  A Topology Preserving Level Set Method for Geometric Deformable Models , 2003, IEEE Trans. Pattern Anal. Mach. Intell..

[77]  Ronald Fedkiw,et al.  A level set method for thin film epitaxial growth , 2001 .

[78]  Tony F. Chan,et al.  A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model , 2002, International Journal of Computer Vision.

[79]  G. Son.  Numerical study on a sliding bubble during nucleate boiling , 2001 .

[80]  B. Geurts.  Mixing efficiency in turbulent shear layers , 2001 .

[81]  Zhizhou Wang,et al.  Deformable Pedal Curves and Surfaces: Hybrid Geometric Active Models for Shape Recovery , 2004, International Journal of Computer Vision.

[82]  A. Vladimirsky.  Fast methods for static Hamilton-Jacobi Partial Differential Equations , 2001 .

[83]  F. Bazdidi-Tehrani,et al.  TWO-PHASE HEAT TRANSFER ON AN ISOTHERMAL VERTICAL SURFACE : A NUMERICAL SIMULATION , 2002 .

[84]  Jean-Yves Dauvignac,et al.  An inverse scattering method based on contour deformations by means of a level set method using frequency hopping technique , 2003 .

[85]  R. Fedkiw,et al.  A numerical method for two-phase flow consisting of separate compressible and incompressible regions , 2000 .

[86]  D. Chopp.  Computing Minimal Surfaces via Level Set Curvature Flow , 1993 .

[87]  Thomas P. Moffat,et al.  Modeling Superconformal Electrodeposition Using The Level Set Method , 2003 .

[88]  Michel Rascle,et al.  Hamilton-Jacobi Equations on a Manifold and Applications to Grid Generation or Refinement , 2001, SIAM J. Sci. Comput..

[89]  J. Kauffmann,et al.  Superconducting coils quench simulation, the Wilson's method revisited , 2002 .

[90]  R. Caflisch,et al.  Level-set method for island dynamics in epitaxial growth , 2002 .

[91]  T. Belytschko,et al.  Extended finite element method for three-dimensional crack modelling , 2000 .

[92]  Level set method for the evolution of defect and brane networks , 2002, hep-ph/0207267.

[93]  Feng Xiao,et al.  Mechanism of structure formation circular hydraulic jumps: numerical studies of strongly deformed free-surface shallow flows , 2002 .

[94]  James A. Sethian,et al.  Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid , 2012 .

[95]  J. Mazumder,et al.  Multiple reflection and its influence on keyhole evolution , 2002 .

[96]  Stanley Osher,et al.  Precursor tissue analogs as a tissue-engineering strategy. , 2003, Tissue engineering.

[97]  J. Suri.  Two-dimensional fast magnetic resonance brain segmentation , 2001, IEEE Engineering in Medicine and Biology Magazine.

[98]  James A. Sethian,et al.  The Fast Construction of Extension Velocities in Level Set Methods , 1999 .

[99]  Nikos Paragios,et al.  A Variational Approach for the Segmentation of the Left Ventricle in Cardiac Image Analysis , 2002, International Journal of Computer Vision.

[100]  D. Chopp,et al.  A projection method for motion of triple junctions by level sets , 2002 .

[101]  Tohru Fukano,et al.  Analysis of liquid film formation in a horizontal annular flow by DNS , 2003 .

[102]  Kazufumi Ito,et al.  Three-dimensional elliptic solvers for interface problems and applications , 2003 .

[103]  Marcus Herrmann,et al.  Calculation of droplet deformationby surface tension effects usingthe level set method , 2002 .

[104]  J. Sethian,et al.  A Fast Level Set Method for Propagating Interfaces , 1995 .

[105]  Laurent D. Cohen,et al.  Fast extraction of minimal paths in 3D images and applications to virtual endoscopy , 2001, Medical Image Anal..

[106]  Ted Belytschko,et al.  Modelling crack growth by level sets in the extended finite element method , 2001 .

[107]  L. Evans,et al.  Motion of level sets by mean curvature. II , 1992 .

[108]  J A Sethian,et al.  A fast marching level set method for monotonically advancing fronts. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[109]  David L. Chopp,et al.  Modeling thermal fatigue cracking in integrated circuits by level sets and the extended finite element method , 2003 .

[110]  R. LeVeque.  Numerical methods for conservation laws , 1990 .

[111]  Kokichi Sugihara,et al.  Crystal Voronoi diagram and its applications , 2001, Future Gener. Comput. Syst..

[112]  K. Kunisch,et al.  Level-set function approach to an inverse interface problem , 2001 .

[113]  Heike Emmerich,et al.  Modeling elastic effects in epitaxial growth , 2003 .

[114]  Frédéric Gibou,et al.  Capture numbers in rate equations and scaling laws for epitaxial growth , 2003 .

[115]  Zhilin Li.  AN OVERVIEW OF THE IMMERSED INTERFACE METHOD AND ITS APPLICATIONS , 2003 .

[116]  Ted Belytschko,et al.  A vector level set method and new discontinuity approximations for crack growth by EFG , 2002 .

[117]  Hassan Safouhi,et al.  Efficient and rapid numerical evaluation of the two-electron, four-center Coulomb integrals using nonlinear transformations and useful properties of Sine and Bessel functions , 2002 .

[118]  Takahiko Tanahashi,et al.  Finite element simulation of single crystal growth process using GSMAC method , 2002 .

[119]  L. Vese,et al.  A level set algorithm for minimizing the Mumford-Shah functional in image processing , 2001, Proceedings IEEE Workshop on Variational and Level Set Methods in Computer Vision.

[120]  Qingfen Lin,et al.  A Modified Fast Marching Method , 2003, SCIA.

[121]  Ron Kimmel,et al.  Optimal Algorithm for Shape from Shading and Path Planning , 2001, Journal of Mathematical Imaging and Vision.

[122]  Wei Cai,et al.  A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals , 2000, NAA.

[123]  J. Sethian,et al.  Transport and diffusion of material quantities on propagating interfaces via level set methods , 2003 .

[124]  A. Averbuch,et al.  Level set modeling of transient electromigration grooving , 2000, cond-mat/0005045.

[125]  D. Chopp,et al.  Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method , 2003 .

[126]  M. Quecedo,et al.  Application of the level set method to the finite element solution of two-phase flows , 2001 .

[127]  P. Smereka.  Spiral crystal growth , 2000 .

[128]  T. Cale,et al.  Extension velocities for level set based surface profile evolution , 2001 .

[129]  Huajian Gao,et al.  A Numerical Study of Electro-migration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid , 1999 .

[130]  Tariq Alkhalifah.  Traveltime computation with the linearized eikonal equation for anisotropic media , 2002 .

[131]  A-V Phan,et al.  Modelling a growth instability in a stressed solid , 2001 .

[132]  R. LeVeque,et al.  A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources , 2006 .

[133]  V. C. Patel,et al.  Numerical simulation of unsteady multidimensional free surface motions by level set method , 2003 .

[134]  T. Belytschko,et al.  Arbitrary branched and intersecting cracks with the eXtended Finite Element Method , 2000 .