Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

1988/11/01 by Stanley Osher, James A. Sethian, James A Sethian · 13,940 citations
Engineering · Mathematics · Physics and Astronomy · #Algorithm #Conservation law #Curvature #Fluid Dynamics and Turbulent Flows #Function (biology) #Geometric Analysis and Curvature Flows #Geometry #Hamilton–Jacobi equation #Mathematical analysis #Mathematics #Mean curvature #Mean curvature flow #Quantum chaos and dynamical systems

paper · open access · doi:10.1016/0021-9991(88)90002-2

published in Journal of Computational Physics 79(1), 12-49 (Elsevier BV)

openalex publication_date 1988/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Citations

• Hyperbolic systems of conservation laws II

Cited by

• A stabilized Runge–Kutta–Legendre method for explicit super-time-stepping of parabolic and mixed equations
• Adaptive multi-resolution method for compressible multi-phase flows with sharp interface model and pyramid data structure
• An accelerated conservative sharp-interface method for multiphase flows simulations
• A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows
• Strategic Inference of Adversarial Navigation Objectives for Unmanned Underwater Vehicles
• Topology optimization of structures in transient impacts with Coulomb friction
• Fast Marching Methods
• From level set evolution to threshold optimization: A grayscale level set framework for image segmentation
• Mechanics of Hydraulic Fractures
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• Shape optimization for thermoelasticity with temperature-dependent material parameters
• A modified static PDE-based approach for multidimensional extrapolation
• An unfitted boundary algebraic equation method with static-dynamic reduction for evolving implicit geometries
• The latent variable proximal point algorithm for variational problems with inequality constraints
• Topological design and additive manufacturing of porous metals for bone scaffolds and orthopaedic implants: A review
• Extending a serial 3D two-phase CFD code to parallel execution over MPI by using the PETSc library for domain decomposition
• Solving Partial Differential Equations on Manifolds From Incomplete Inter-Point Distance
• The sound of an evolving floating sculpture
• The wave equation for level sets is not a Huygens' equation
• Opportunities and Challenges in Applying AI to Evolutionary Morphology
• Residual Velocities in Steady Free Boundary Value Problems of Vector Laplacian Type
• An Illustrated Guide of the Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities
• Segmentation and Restoration of Images on Surfaces by Parametric Active\n Contours with Topology Changes
• Bioluminescence tomography via a shape optimization method based on a complex-valued model
• Parametric Sensitivity of POD Reduced-Order Models for Semilinear Evolution Equations with Applications to G-Equations
• Turbulent Flame Speed Can Increase under Curvature Smoothing
• Nonlocal Second-Order Geometric Equations Arising in Tomographic Reconstruction
• HJ-Gauss: A Monte-Carlo HJ Reachability Scheme
• A Cartesian Cut-Cell Two-Fluid Method for Two-Phase Diffusion Problems
• A Convex Loss Function for Set Prediction with Optimal Trade-offs Between Size and Conditional Coverage
• DiffeoMorph: Learning to Morph 3D Shapes Using Differentiable Agent-Based Simulations
• Shape design with phase field methods for structural hemivariational inequalities in contact problems
• Physics-Informed Machine Learning for Two-Phase Moving-Interface and Stefan Problems
• An efficient evolutionary structural optimization method for multi-resolution designs
• A linear MARS method for three-dimensional interface tracking
• RefLSM: Linearized Structural-Prior Reflectance Model for Medical Image Segmentation and Bias-Field Correction
• On Topology of Three-dimensional Continua with Singular Points
• Ricci Curvature Based Volumetric Segmentation of the Auditory Ossicles
• A novel momentum-conserving, mass-momentum consistent method for interfacial flows involving large density contrasts
• Generic mean curvature flow I; generic singularities
• Hodge Laplacians on graphs
• Maximization of Supercapacitor Storage via Topology Optimization of Electrode Structures
• HyperNeRF: A Higher-Dimensional Representation for Topologically Varying Neural Radiance Fields
• Sub-Riemannian mean curvature flow for image processing
• A novel way of computing the shape derivative for a class of non-smooth PDEs and its impact on deriving necessary conditions for locally optimal shapes
• The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions
• Deep Level Sets: Implicit Surface Representations for 3D Shape Inference
• AGENet: Adaptive Edge-aware Geodesic Distance Learning for Few-Shot Medical Image Segmentation
• GiBS: Generative Input-side Basis-driven Structures
• Classification and Segmentation of Pulmonary Lesions in CT Images Using a Combined VGG-XGBoost Method, and an Integrated Fuzzy Clustering-Level Set Technique
• Implicit reconstruction from point cloud: an adaptive level-set-based semi-Lagrangian method
• The strongly nonlocal Allen-Cahn problem
• TA-LSDiff:Topology-Aware Diffusion Guided by a Level Set Energy for Pancreas Segmentation
• Diversity in emergent cell locomotion from the coupling cytosolic and cortical Marangoni flows with reaction-diffusion dynamics
• Three-dimensional narrow volume reconstruction method with unconditional stability based on a phase-field Lagrange multiplier approach
• Some improvements on Moment-of-Fluid method in 3D rectangular hexahedrons
• An L1 Penalty Method for General Obstacle Problems
• Greedy Algorithms for Sparse Sensor Placement via Deep Learning
• Taichi
• Lectures on mean curvature flow of surfaces
• A fully conservative sharp-interface method for compressible mulitphase flows with phase change
• A Level Set Method for Image Segmentation in the Presence of Intensity Inhomogeneities With Application to MRI
• Neural ODEs for Image Segmentation with Level Sets
• Numerical approximation of level set power mean curvature flow
• FormOpt: A FEniCSx toolbox for level set-based shape optimization supporting parallel computing
• A multilayer level-set method for eikonal-based traveltime tomography
• Bayesian identification of discontinuous fields with an ensemble-based variable separation multiscale method
• Vertex and front-tracking methods for the modeling of microstructure evolution at the solid state: a brief review
• Statistical exponential formulas for homogeneous diffusion
• Existence and uniqueness for anisotropic and crystalline mean curvature flows
• Revealing Low-Dimensional Structure in 2D Richtmyer-Meshkov Instabilities via Parametric Reduced-Order Modeling
• Synthesis of control Lyapunov functions and stabilizing feedback\n strategies using exit-time optimal control
• Hamilton-Jacobi Reachability for Viability Analysis of Constrained Waste-to-Energy Systems under Adversarial Uncertainty
• Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogeneous media
• Real Image Inversion via Segments
• Closed-loop control of sloshing fuel in a spinning spacecraft
• Evolutionary de Rham-Hodge method
• A Parametric Level Set Method for Topology Optimization based on Deep Neural Network (DNN)
• Mean curvature flow through singularities
• Segmentation for radar images based on active contour
• Advances in Medical Image Segmentation: A Comprehensive Survey with a Focus on Lumbar Spine Applications
• An improved direct forcing immersed boundary method for floating body simulations in waves
• Topographic change associated with floodplain mining activities in the Amite River, Louisiana
• Fuzzy dark matter simulations
• Interface tracking using patches
• IROSA: Interactive Robot Skill Adaptation using Natural Language
• SegFix: Model-Agnostic Boundary Refinement for Segmentation
• Recent Developments in CAD/analysis Integration
• An Adaptive Finite Element Method for Marker-Driven Level-Set Transport on Hierarchical Meshes
• A comprehensive review and future perspectives of simulation approaches in wire arc additive manufacturing (WAAM)
• The Vanishing Moment Method for Fully Nonlinear Second Order Partial Differential Equations: Formulation, Theory, and Numerical Analysis
• Shape Tracking With Occlusions via Coarse-To-Fine Region-Based Sobolev Descent
• An ensemble Kalman filter approach based on level set parameterization for acoustic source identification using multiple frequency information
• Segmentation of Three-dimensional Images with Parametric Active Surfaces and Topology Changes
• Blood vessel segmentation algorithms — Review of methods, datasets and evaluation metrics
• Large-time Behavior for a Cutoff Level-Set Mean Curvature G-equation with Source term
• Fast Global Minimization of the Active Contour/Snake Model
• A low complexity algorithm for non-monotonically evolving fronts
• Boundary-Aware Segmentation Network for Mobile and Web Applications
• A Local Active Contour Model for Image Segmentation with Intensity Inhomogeneity
• Isogeometric Topology Optimization Based on Topological Derivatives
• A Weighted Difference of Anisotropic and Isotropic Total Variation for Relaxed Mumford-Shah Color and Multiphase Image Segmentation
• The Closest Point Heat Method for Solving Eikonal Equations on Implicit Surfaces
• Large eddy simulations in astrophysics
• Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space
• A level-set structural approach for multi-physics joint inversion using full-waveform and gravity data
• An Unsplit Scheme for Interface Advection in the Edge-based Interface Tracking (EBIT) Method
• Down-scale marine hydrodynamic analysis at the Norwegian coast -- the NORA-SARAH open framework
• A Bayesian level set method for an inverse medium scattering problem in acoustics
• Tensor-SIFT based Earth Mover's Distance for Contour Tracking
• Algorithm for Overcoming the Curse of Dimensionality for State-dependent Hamilton-Jacobi equations
• THINC-scaling scheme that unifies VOF and level set methods
• A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional
• A level-set based finite difference method for the ground state Bose-Einstein condensates in smooth bounded domains
• An immersed method based on cut-cells for the simulation of 2D incompressible fluid flows past solid structures
• Macroscopic modeling and simulations of room evacuation
• Reference Map Technique for Incompressible Fluid-Structure Interaction
• Hamilton-Jacobi formulation for reach-avoid differential games
• Two-phase image segmentation by the Allen-Cahn equation and a nonlocal edge detection operator
• Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries
• Numerical recovery of the piecewise constant leading coefficient of an elliptic equation
• Solving 1D Conservation Laws Using Pontryagin's Minimum Principle
• Modeling wildland fire propagation with level set methods
• A Latent space solver for PDE generalization
• Sharp Collocated Projection Method for Immiscible Two-Phase Flows
• Topological changes due to non-equilibrium effects by means of the statistical model of two-phase flow
• Phase-field approximations of the Willmore functional and flow
• Coarse-to-Fine Segmentation With Shape-Tailored Scale Spaces
• A Characteristic Function-based Algorithm for Geodesic Active Contours
• Neovascularization Segmentation via a Multilateral Interaction-Enhanced Graph Convolutional Network
• Shape reconstruction in X-ray tomography from a small number of projections using deformable models
• Fast Algorithms for Surface Reconstruction from Point Cloud
• Bladder segmentation based on deep learning approaches: current limitations and lessons
• Distributionally Robust Shape and Topology Optimization
• New Immersed Boundary Method with Irrotational Discrete Delta Vector for Droplet Simulations with Large Density ratio
• Cardiac MR Image Segmentation Techniques: an overview
• Implementation of BVD (boundary variation diminishing) algorithm in simulations of compressible multiphase flows
• Uniqueness and traveling waves in a cell motility model
• Tracking via Motion Estimation with Physically Motivated Inter-Region Constraints
• 3D reconstruction of histological sections: Application to mammary gland tissue
• Distributed shape derivative via averaged adjoint method and applications
• A novel approach for efficient ship hydrodynamic simulations with realistic coastal bathymetries
• A level set-based structural topology optimization method with centre of mass control
• Local Morphometry of Closed, Implicit Surfaces
• Control of transversal instabilities in reaction-diffusion systems
• Existence and uniqueness for planar anisotropic and crystalline\n curvature flow
• Stationary Relativistic Jets
• Level Set Stereo for Cooperative Grouping with Occlusion
• Artifacts of Quantization in Distance Transforms
• Convex Histogram-Based Joint Image Segmentation with Regularized Optimal Transport Cost
• How to create analogue black hole or white fountain horizons and LASER cavities in experimental free surface hydrodynamics?
• Sharpening methods for finite volume schemes
• High-throughput controlled droplets generation through a flow-focusing microchannel in shear-thinning fluids
• Active Contour Directed by the Poisson Gradient Vector Field and Edge Tracking
• Modelling turbulence effects in wildland fire propagation by the randomized level-set method
• Computer-Assisted Analysis of Biomedical Images
• Level set image segmentation with velocity term learned from data with applications to lung nodule segmentation
• Hamiltonian moving-particle semi-implicit (HMPS) method for incompressible fluid flows
• Data assimilation for wildland fires
• Geodesic Shooting for Computational Anatomy
• Thermo-capillary convection in a two-fluid system
• A level set-based structural optimization code using FEniCS
• Multidimensional persistence in biomolecular data
• Shape-Tailored Deep Neural Networks
• Singular limits of reaction diffusion equations and geometric flows with discontinuous velocity
• Fracture resistance via topology optimisation
• Free Form based active contours for image segmentation and free space perception
• A fast eikonal equation solver using the Schrodinger wave equation
• A Sharp Lower Bound for the Entropy of Closed Hypersurfaces up to Dimension Six
• Bone Adaptation as a Geometric Flow
• Re-initialization Free Level Set Evolution via Reaction Diffusion
• A mass-preserving level set method for simulating 2D/3D fluid flows with evolving interface
• On the self-similar solutions of the crystalline mean curvature flow in\n three dimensions
• A new level set-finite element formulation for anisotropic grain boundary migration
• Nonlinear total variation based noise removal algorithms
• Algorithms for Overcoming the Curse of Dimensionality for Certain Hamilton-Jacobi Equations Arising in Control Theory and Elsewhere
• Modeling Wildland Fire Propagation with Level Set Methods
• Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models
• An Active Contour Model for Silhouette Vectorization using Bézier Curves
• A new Surrogate Microstructure Generator for Porous Materials with Applications to the Buffer Layer of TRISO Nuclear Fuel Particles
• High-Order Signed Distance Transform of Sampled Signals
• Implicitly Defined Layers in Neural Networks
• Photonic Design: From Fundamental Solar Cell Physics to Computational Inverse Design
• The Multiphase Cubic MARS method for Fourth- and Higher-order Interface Tracking of Two or More Materials with Arbitrarily Complex Topology and Geometry
• A higher-order active contour model of a `gas of circles' and its application to tree crown extraction
• Hamilton-Green solver for the forward and adjoint problems in photoacoustic tomography
• An accelerated sharp-interface method for multiphase flows simulations
• Stochastic homogenization of interfaces moving with changing sign velocity
• A diffusion driven curvature flow
• Elementary discrete diffusion/redistancing schemes for the mean curvature flow
• Some algorithms for the mean curvature flow under topological changes
• Consistent and bound-preserving finite-volume WENO scheme for compressible two-/N-phase flows with Phase-Field mechanism
• Deep Eikonal Solvers
• MBO Scheme for Local Chan--Vese Segmentation
• Intrinsic Integration
• Local Entropy and Generic Multiplicity One Singularities of Mean Curvature Flow of Surfaces
• An approximation scheme for an Eikonal Equation with discontinuous\n coefficient
• Segmentation Rectification for Video Cutout via One-Class Structured Learning
• Long time behaviour for the reinitialization of the distance function
• The Image Torque Operator for Contour Processing
• Curvature Regularized Surface Reconstruction from Point Cloud
• Piecewise constant level set algorithm for an inverse elliptic problem in nonlinear electromagnetism
• Quantitative Molecular Scaling Theory of Protein Amino Acid Sequences, Structure, and Functionality
• Phase Field Modeling of Galvanic Corrosion
• Multi-Sensor Fusion via Reduction of Dimensionality
• Convexity Shape Prior for Level Set based Image Segmentation Method
• Parametric level-set inverse problems with stochastic background estimation
• A second-order accurate semi-Lagrangian method for convection-diffusion equations with interfacial jumps
• Monolithic framework to simulate fluid-structure interaction problems using geometric volume-of-fluid method
• Low Order Finite Element Methods for the Navier-Stokes-Cahn-Hilliard Equations
• Modeling Environmental Crime in Protected Areas Using the Level Set\n Method
• Efficient p-multigrid spectral element model for water waves and marine offshore structures
• Semi-implicit Eulerian method for the fluid structure interaction of elastic membranes
• Reachability of Delayed Hybrid Systems Using Level-set Methods
• Level-set approach for Reachability Analysis of Hybrid Systems under Lag Constraints
• Shaping freeform nanophotonic devices with geometric neural parameterization
• NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Network on Point Clouds
• Distributional solutions to mean curvature flow
• Dimension-Robust MCMC in Bayesian Inverse Problems
• Minimal surfaces and mean curvature flow
• Constructing High-Order Signed Distance Maps from Computed Tomography Data with Application to Bone Morphometry
• A new variational principle for the Euclidean distance function: Linear approach to the non-linear eikonal problem
• A Computational Model of Protein Induced Membrane Morphology with Geodesic Curvature Driven Protein-Membrane Interface
• Convergent approximation of non-continuous surfaces of prescribed\n Gaussian curvature
• A level-set approach for stochastic optimal control problems under controlled-loss constraints
• Shape-Aware Organ Segmentation by Predicting Signed Distance Maps
• Numerical approximation of positive power curvature flow via deterministic games
• The Welfare Effects of Transportation Infrastructure Improvements
• A simple, fast and stabilized flowing finite volume method for solving general curve evolution equations
• Towards a Comprehensive Numerical Scheme for Simulating Incompressible Two-Phase Flows
• CASL-HJX: A Comprehensive Guide to Solving Deterministic and Stochastic Hamilton-Jacobi Equations
• Unfitted finite element modelling of surface-bulk viscous flows in animal cells
• A Three-Dimensional Hybrid Spectral Element-Fourier Spectral Method for Wall-Bounded Two-Phase Flows
• The Numerical Simulation of Ship Waves using Cartesian Grid Methods
• Advances in the numerical treatment of grain-boundary migration: Coupling with mass transport and mechanics
• Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes
• WRF-Fire: Coupled Weather–Wildland Fire Modeling with the Weather Research and Forecasting Model
• Fluid-structure interaction simulation of floating structures interacting with complex, large-scale ocean waves and atmospheric turbulence
• User’s guide to viscosity solutions of second order partial differential equations
• Conformal curvature flows: From phase transitions to active vision
• A new level set numerical wave tank with improved density interpolation for complex wave hydrodynamics
• Towards Accurate Modeling of Moving Contact Lines
• Modeling and numerical simulations of dendritic crystal growth
• A variational-level-set based partitioning method for block-structured meshes
• Numerical methods for the 2-Hessian elliptic partial differential equation
• Treating complex geometries using voxel-based FEM, CDFEM, and fictitious domain method
• Limits and consistency of non-local and graph approximations to the Eikonal equation
• Correlation emergence and the Epps effect in two coupled limit order books
• Shape modeling with front propagation: a level set approach
• Level Set Based Shape Prior Segmentation
• Relationships between a roller and a dynamic pressure distribution in circular hydraulic jumps
• A Complete System for Candidate Polyps Detection in Virtual Colonoscopy
• Computational techniques for the verification of hybrid systems
• A game theoretic approach to controller design for hybrid systems
• Lectures on Mean Curvature Flow and Related Equations
• Virtual cathode effects during stimulation of cardiac muscle. Two-dimensional in vivo experiments.
• A meshfree interface-finite element method for modelling isothermal solutal melting and solidification in binary systems
• A GPU-based coupled SPH-DEM method for particle-fluid flow with free surfaces
• An energy-preserving level set method for multiphase flows
• An implicit boundary integral method for interfaces evolving by Mullins-Sekerka dynamics
• Weberized Mumford-Shah Model with Bose-Einstein Photon Noise
• Generic mean curvature flow I; generic singularities
• Level set approach to reversible epitaxial growth
• The type Iax supernova, SN 2015H
• Color TV: total variation methods for restoration of vector-valued images.
• Complete Endomorphisms in Computer Vision
• Illusory Shapes via Phase Transition
• A parametric Bayesian level set approach for acoustic source identification using multiple frequency information
• Sheaf-theoretic representation of the proteolipid code
• Euler's Elastica and Curvature-Based Inpainting
• Nonlinear Partial Differential Equations with Applications
• Three snippets of curve evolution theory in computer vision
• Shape-adapted smoothing in estimation of 3-D shape cues from affine deformations of local 2-D brightness structure
• Simulating Stochastic Reaction-Diffusion Systems on and within Moving Boundaries
• Analysis of Amoeba Active Contours
• Solving incompressible Navier--Stokes equations on irregular domains and quadtrees by monolithic approach
• The case against the progenitor's carbon-to-oxygen ratio as a source of peak luminosity variations in type Ia supernovae
• Diffeomorphism invariant integrable field theories and hypersurface motions in Riemannian manifolds
• Numerical analysis of the impact of two droplets with a liquid film using an incompressible SPH method
• Type Ia supernova diversity: white dwarf central density as a secondary parameter in three-dimensional delayed detonation models
• Double-detonation sub-Chandrasekhar supernovae: can minimum helium shell masses detonate the core?
• Ambiguous phase assignment of discretized 3D geometries in topology optimization
• Deep learning in nano-photonics: inverse design and beyond
• Coupling Control and Human-Centered Automation in Mathematical Models of Complex Systems
• Shape Alignment via Allen-Cahn Nonlinear-Convection
• A highly efficient 3D level-set grain growth algorithm tailored for ccNUMA architecture
• Artificial compressibility method for the incompressible Navier-Stokes equations with variable density
• Jump splicing schemes for elliptic interface problems and the incompressible Navier-Stokes equations
• A p-adaptive local discontinuous galerkin level set method for Willmore flow
• A multiscale method for simulating fluid interfaces covered with large molecules such as asphaltenes
• Thermonuclear explosions of rapidly rotating white dwarfs
• Finite difference schemes for Hamilton--Jacobi equation on Wasserstein space on graphs
• Computing critical point evolution under planar curvature flows
• Variational approach to relaxed topological optimization: Closed form solutions for structural problems in a sequential pseudo-time framework
• The cellular burning regime in type Ia supernova explosions
• Stochastic Block Models are a Discrete Surface Tension
• Differential Invariant Signatures and Flows in Computer Vision: A Symmetry Group Approach
• Liver segmentation in abdominal CT images via auto-context neural network and self-supervised contour attention
• Multi-material topology optimization of electric machines under maximum temperature and stress constraints
• Cooperative coevolutionary topology optimization using moving morphable components
• Topology of closed hypersurfaces of small entropy
• PINP: Physics-Informed Neural Predictor with latent estimation of fluid flows
• Eikonal boundary condition for level set method
• Level set contouring for breast tumor in sonography. [europepmc]
• High content image analysis for human H4 neuroglioma cells exposed to CuO nanoparticles. [europepmc]
• Modeling cellular deformations using the level set formalism. [europepmc]
• Interfaces and hydrophobic interactions in receptor-ligand systems: A level-set variational implicit solvent approach. [europepmc]
• Lesion detection in demoscopy images with novel density-based and active contour approaches. [europepmc]
• A New Ghost Cell/Level Set Method for Moving Boundary Problems: Application to Tumor Growth. [europepmc]
• Comparative methods for PET image segmentation in pharyngolaryngeal squamous cell carcinoma. [europepmc]
• Patient-specific modelling of whole heart anatomy, dynamics and haemodynamics from four-dimensional cardiac CT images. [europepmc]
• Radiation therapy effects on white matter fiber tracts of the limbic circuit. [europepmc]
• An active contour model for medical image segmentation with application to brain CT image. [europepmc]
• Re-epithelialization: advancing epithelium frontier during wound healing. [europepmc]
• A review of heart chamber segmentation for structural and functional analysis using cardiac magnetic resonance imaging. [europepmc]
• Automated geographic atrophy segmentation for SD-OCT images using region-based C-V model via local similarity factor. [europepmc]
• Mathematical Analysis of Glioma Growth in a Murine Model. [europepmc]
• Biologically constrained optimization based cell membrane segmentation in C. elegans embryos. [europepmc]
• ABLE: An Activity-Based Level Set Segmentation Algorithm for Two-Photon Calcium Imaging Data. [europepmc]
• Segmentation of 3D images of plant tissues at multiple scales using the level set method. [europepmc]
• DeepACSON automated segmentation of white matter in 3D electron microscopy. [europepmc]
• Computational Methods for Liver Vessel Segmentation in Medical Imaging: A Review. [europepmc]
• Analysis of correlations between local geographic atrophy growth rates and local OCT angiography-measured choriocapillaris flow deficits. [europepmc]
• Advanced Ultrasound and Photoacoustic Imaging in Cardiology. [europepmc]
• Cells use molecular working memory to navigate in changing chemoattractant fields. [europepmc]
• On the Various Numerical Techniques for the Optimization of Bone Scaffold. [europepmc]
• Brain Tumor Segmentation from MRI Images Using Handcrafted Convolutional Neural Network. [europepmc]
• GeneSegNet: a deep learning framework for cell segmentation by integrating gene expression and imaging. [europepmc]