A procedural approach to authoring solid models
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Level set surface editing operators
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Animation and rendering of complex water surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Optimal Algorithm for Shape from Shading and Path Planning
Journal of Mathematical Imaging and Vision
A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
Journal of Computational Physics
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
Wavelet representation of contour sets
Proceedings of the conference on Visualization '01
A five-equation model for the simulation of interfaces between compressible fluids
Journal of Computational Physics
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Reactive autophobic spreading of drops
Journal of Computational Physics
Crystal Voronoi Diagram and Its Applications to Collision-Free Paths
ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I
Vessel Axis Determination Using Wave Front Propagation Analysis
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part I
4D Active Surfaces for Cardiac Analysis
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part I
Segmentation of 3D Medical Structures Using Robust Ray Propagation
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part I
Kernel Fisher for Shape Based Classification in Epilepsy
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part II
Level-Set Based Carotid Artery Segmentation for Stenosis Grading
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part II
3D Prostate Surface Detection from Ultrasound Images Based on Level Set Method
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part II
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
Ordered Upwind Methods for Hybrid Control
HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
A Mesh-Based Shape Analysis Framework
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Evolutionary partial differential equations for biomedical image processing
Journal of Biomedical Informatics
Evolutionary partial differential equations for biomedical image processing
Computers and Biomedical Research
Transport and diffusion of material quantities on propagating interfaces via level set methods
Journal of Computational Physics
A generalized front marching algorithm for the solution of the eikonal equation
Journal of Computational and Applied Mathematics
Differential equation-based wall distance computation for DES and RANS
Journal of Computational Physics
Identification of contact regions in semiconductor transistors by level-set methods
Journal of Computational and Applied Mathematics
Signal Processing - Special issue: Fractional signal processing and applications
Journal of Mathematical Imaging and Vision
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
An interface interaction method for compressible multifluids
Journal of Computational Physics
Evaluation of Drawing on 3D Surfaces with Haptics
IEEE Computer Graphics and Applications
Extraction of Topologically Simple Isosurfaces from Volume Datasets
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Coupled Parametric Active Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
Unsupervised, Information-Theoretic, Adaptive Image Filtering for Image Restoration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Discontinuous Galerkin methods applied to shock and blast problems
Journal of Scientific Computing
Curvature formulas for implicit curves and surfaces
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
A quadrature-free discontinuous Galerkin method for the level set equation
Journal of Computational Physics
Dynamic Tubular Grid: An Efficient Data Structure and Algorithms for High Resolution Level Sets
Journal of Scientific Computing
International Journal of Computer Vision
Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain
Journal of Computational and Applied Mathematics
Adaptive characteristics-based matching for compressible multifluid dynamics
Journal of Computational Physics
Graph Cuts and Efficient N-D Image Segmentation
International Journal of Computer Vision
Coupled anisotropic diffusion for image selective smoothing
Signal Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Interactive editing of segmented volumetric datasets in a hybrid 2D/3D virtual environment
Proceedings of the ACM symposium on Virtual reality software and technology
Alternative 2D Shape Representations using the Symmetry Set
Journal of Mathematical Imaging and Vision
SQ-Map: Efficient Layered Collision Detection and Haptic Rendering
IEEE Transactions on Visualization and Computer Graphics
Advections with Significantly Reduced Dissipation and Diffusion
IEEE Transactions on Visualization and Computer Graphics
Stable marker-particle method for the Voronoi diagram in a flow field
Journal of Computational and Applied Mathematics
Efficient active contour and K-means algorithms in image segmentation
Scientific Programming - Distributed Computing and Applications
A study of numerical methods for the level set approach
Applied Numerical Mathematics
Constant cusp height tool paths as geodesic parallels on an abstract Riemannian manifold
Computer-Aided Design
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Weighted Minimal Hypersurface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Embedded real-time architecture for level-set-based active contours
EURASIP Journal on Applied Signal Processing
IEEE Transactions on Visualization and Computer Graphics
Efficiently determining a locally exact shortest path on polyhedral surfaces
Computer-Aided Design
Review: A survey of the extended finite element
Computers and Structures
Flow simulations using particles: bridging computer graphics and CFD
ACM SIGGRAPH 2008 classes
Journal of Computational Physics
Explicit finite difference schemes adapted to advection-reaction equations
International Journal of Computer Mathematics - Recent Advances in Computational and Applied Mathematics in Science and Engineering
GeoS: Geodesic Image Segmentation
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
International Journal of Computational Fluid Dynamics
Fast Object Segmentation by Growing Minimal Paths from a Single Point on 2D or 3D Images
Journal of Mathematical Imaging and Vision
Image Processing by Topological Asymptotic Expansion
Journal of Mathematical Imaging and Vision
Sensing, Acquisition, and Interactive Playback of Data-based Models for Elastic Deformable Objects
International Journal of Robotics Research
On Total Variation Minimization and Surface Evolution Using Parametric Maximum Flows
International Journal of Computer Vision
Shape from Shading Using Probability Functions and Belief Propagation
International Journal of Computer Vision
Improving Chen and Han's algorithm on the discrete geodesic problem
ACM Transactions on Graphics (TOG)
Journal of Computational Physics
Algebraic and geometric approximation of waves among obstacles
Computer-Aided Design
On two multigrid algorithms for modeling variational multiphase image segmentation
IEEE Transactions on Image Processing
Stabilization of parametric active contours using a tangential redistribution term
IEEE Transactions on Image Processing
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
3D Multi-branch Tubular Surface and Centerline Extraction with 4D Iterative Key Points
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
Combining area patrol, perimeter surveillance, and target tracking using ordered upwind methods
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Segmentation of Breast Cancer Fine Needle Biopsy Cytological Images
International Journal of Applied Mathematics and Computer Science - Special Section: Selected Topics in Biological Cybernetics, Special Editors: Andrzej Kasiński and Filip Ponulak
Seeking chances through interface design: the role of abduction
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
A hybrid receding horizon control method for path planning in uncertain environments
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Fast sub-voxel re-initialization of the distance map for level set methods
Pattern Recognition Letters
Effective level set image segmentation with a kernel induced data term
IEEE Transactions on Image Processing
Geodesic image and video editing
ACM Transactions on Graphics (TOG)
Difference of inflow and outflow based 3D streamline placement
Proceedings of the 3rd International Symposium on Visual Information Communication
Vessel segmentation for ablation treatment planning and simulation
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part I
Some Improvements for the Fast Sweeping Method
SIAM Journal on Scientific Computing
Image segmentation of cervical vertebra in X-ray radiographs using the curve fitting strategy
Proceedings of the 2011 ACM Symposium on Applied Computing
Structural and Multidisciplinary Optimization
A new level-set based approach to shape and topology optimization under geometric uncertainty
Structural and Multidisciplinary Optimization
Towards patient specific catheter selection: computation of aortic geometry based on fused MRI data
FIMH'11 Proceedings of the 6th international conference on Functional imaging and modeling of the heart
A survey of geodesic paths on 3D surfaces
Computational Geometry: Theory and Applications
Journal of Mathematical Imaging and Vision
A new shape from shading approach for specular surfaces
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part III
A Third Order Accurate Fast Marching Method for the Eikonal Equation in Two Dimensions
SIAM Journal on Scientific Computing
Evaluation of morphological reconstruction, fast marching and a novel hybrid segmentation method
CIS'04 Proceedings of the First international conference on Computational and Information Science
Journal of Computational Physics
Image based musculoskeletal modeling allows personalized biomechanical analysis of gait
ISBMS'06 Proceedings of the Third international conference on Biomedical Simulation
A novel multi-stage 3d medical image segmentation: methodology and validation
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part I
Recent methods for reconstructing surfaces from multiple images
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
Strongly concave star-shaped contour characterization by algebra tools
Signal Processing
Elliptical distance transforms and applications
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Non-rigid shape matching using geometry and photometry
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part III
Transitions of multi-scale singularity trees
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Geodesic image matching: a wavelet based energy minimization scheme
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Multi-scale singularity trees: soft-linked scale-space hierarchies
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Phase contrast MRI segmentation using velocity and intensity
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Mumford-Shah model based man-made objects detection from aerial images
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Enhancing images painted on manifolds
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Piecewise constant level set methods and image segmentation
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab
Structural and Multidisciplinary Optimization
MultiFLIP for energetic two-phase fluid simulation
ACM Transactions on Graphics (TOG)
Local or global minima: flexible dual-front active contours
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
Unsupervised texture segmentation with nonparametric neighborhood statistics
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
A multiphysics model of capillary growth and remodeling
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Mathematical models to predict the critical conditions for bacterial self-healing of concrete
MMCP'11 Proceedings of the 2011 international conference on Mathematical Modeling and Computational Science
Numerical solution of diffusion models in biomedical imaging on multicore processors
Journal of Biomedical Imaging - Special issue on Parallel Computation in Medical Imaging Applications
Journal of Biomedical Imaging - Special issue on Mathematical Methods for Images and Surfaces 2011
Applied Numerical Mathematics
Journal of Computational Physics
A Gauss-Newton Method for the Integration of Spatial Normal Fields in Shape Space
Journal of Mathematical Imaging and Vision
Fast Two-scale Methods for Eikonal Equations
SIAM Journal on Scientific Computing
Proceedings of the International Conference on Advances in Computing, Communications and Informatics
Animating corrosion and erosion
NPH'07 Proceedings of the Third Eurographics conference on Natural Phenomena
An adaptive method to capture weldlines during the injection mold filling
Computers & Mathematics with Applications
Interactive real time simulation of cardiac radio-frequency ablation
EG VCBM'10 Proceedings of the 2nd Eurographics conference on Visual Computing for Biology and Medicine
Nonlinear diffusion in graphics hardware
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
Flexible and topologically localized segmentation
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
Generalized distance transforms and skeletons in graphics hardware
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
A survey of methods for volumetric scene reconstruction from photographs
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
Segmentation of biological volume datasets using a level-set framework
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
Representation of objects with sharp details in truncated distance fields
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
Robust generation of signed distance fields from triangle meshes
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
An attribute weighted distance transform
Pattern Recognition Letters
Journal of Scientific Computing
Journal of Computational and Applied Mathematics
A parallel fast sweeping method for the Eikonal equation
Journal of Computational Physics
A noise tolerant watershed transformation with viscous force for seeded image segmentation
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part I
Fast 3d surface reconstruction from point clouds using graph-based fronts propagation
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
Hybrid particle---grid fluid animation with enhanced details
The Visual Computer: International Journal of Computer Graphics
An oriented particle level set method based on surface coordinates
Journal of Computational Physics
Fast Path Re-planning Based on Fast Marching and Level Sets
Journal of Intelligent and Robotic Systems
A gradient augmented level set method for unstructured grids
Journal of Computational Physics
Structural and Multidisciplinary Optimization
A localized re-initialization equation for the conservative level set method
Journal of Computational Physics
Hi-index | 0.09 |
Fast Marching Methods are numerical schemes for computing solutions to the nonlinear Eikonal equation and related static Hamilton--Jacobi equations. Based on entropy-satisfying upwind schemes and fast sorting techniques, they yield consistent, accurate, and highly efficient algorithms. They are optimal in the sense that the computational complexity of the algorithms is O(N log N), where N is the total number of points in the domain. The schemes are of use in a variety of applications, including problems in shape offsetting, computing distances from complex curves and surfaces, shape-from-shading, photolithographic development, computing first arrivals in seismic travel times, construction of shortest geodesics on surfaces, optimal path planning around obstacles, and visibility and reflection calculations. In this paper, we review the development of these techniques, including the theoretical and numerical underpinnings; provide details of the computational schemes, including higher order versions; and demonstrate the techniques in a collection of different areas.