Some results on uniformly high-order accurate essentially nonoscillatory schemes
Applied Numerical Mathematics - Special issue in honor of Milt Rose's sixtieth birthday
Theoretical and numerical structure for reacting shock waves
SIAM Journal on Scientific and Statistical Computing
Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Uniformly high-order accurate nonoscillatory schemes
SIAM Journal on Numerical Analysis
The discrete one-sided Lipschitz condition for convex scalar conservation laws
SIAM Journal on Numerical Analysis
Computer Vision, Graphics, and Image Processing
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature-oriented image enhancement using shock filters
SIAM Journal on Numerical Analysis
Toward a computational theory of shape: an overview
ECCV 90 Proceedings of the first european conference on Computer vision
The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations
SIAM Journal on Mathematical Analysis
Difference formulas for the surface Laplacian on a triangulated surface
Journal of Computational Physics
High-order essentially nonsocillatory schemes for Hamilton-Jacobi equations
SIAM Journal on Numerical Analysis
Generating textures on arbitrary surfaces using reaction-diffusion
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image selective smoothing and edge detection by nonlinear diffusion. II
SIAM Journal on Numerical Analysis
A viscosity solutions approach to shape-from-shading
SIAM Journal on Numerical Analysis
Triangle based adaptive stencils for the solution of hyperbolic conservation laws
Journal of Computational Physics
Computing interface motion in compressible gas dynamics
Journal of Computational Physics
High-order ENO schemes applied to two- and three-dimensional compressible flow
Applied Numerical Mathematics
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Computing minimal surfaces via level set curvature flow
Journal of Computational Physics
A level set formulation for the solution of the Dirichlet problem for Hamilton-Jacobi equations
SIAM Journal on Mathematical Analysis
Imaging vector fields using line integral convolution
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Fast wavelet based algorithms for linear evolution equations
SIAM Journal on Scientific Computing
Motion of multiple junctions: a level set approach
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
Evolutionary fronts for topology-independent shape modeling and recovery
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Tracking level sets by level sets: a method for solving the shape from shading problem
Computer Vision and Image Understanding
A fast level set method for propagating interfaces
Journal of Computational Physics
A simple proof of convergence for an approximation scheme for computing motions by mean curvature
SIAM Journal on Numerical Analysis
Numerical solution of the high frequency asymptotic expansion for the scalar wave equation
Journal of Computational Physics
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
SIAM Journal on Numerical Analysis
High order two dimensional nonoscillatory methods for solving Hamilton-Jacobi scalar equations
Journal of Computational Physics
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
An Eulerian approach for vortex motion using a level set regularization procedure
Journal of Computational Physics
A variational level set approach to multiphase motion
Journal of Computational Physics
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Rendering parametric surfaces in pen and ink
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
International Journal of Computer Vision
Minimal Surfaces Based Object Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
A simple level set method for solving Stefan problems
Journal of Computational Physics
High accuracy numerical methods for thermally perfect gas flows with chemistry
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Capturing the behavior of bubbles and drops using the variational level set approach
Journal of Computational Physics
Regularization of ill-posed problems via the level set approach
SIAM Journal on Applied Mathematics
Weighted essentially non-oscillatory schemes on triangular meshes
Journal of Computational Physics
Convolution-generated motion as a link between cellular automata and continuum pattern dynamics
Journal of Computational Physics
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
SIAM Journal on Scientific Computing
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
The ghost fluid method for deflagration and detonation discontinuities
Journal of Computational Physics
International Journal of Computer Vision
A PDE-based fast local level set method
Journal of Computational Physics
A new Eulerian method for the computation of propagating short acoustic and electromagnetic pulses
Journal of Computational Physics
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
Journal of Computational Physics
A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs
Journal of Computational Physics
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
Computer Vision and Image Understanding
Geometric partial differential equations and image analysis
Geometric partial differential equations and image analysis
A level set method for thin film epitaxial growth
Journal of Computational Physics
A numerical method for two-phase flow consisting of separate compressible and incompressible regions
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
Practical animation of liquids
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Variational problems and partial differential equations on implicit surfaces
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
A boundary condition capturing method for incompressible flame discontinuities
Journal of Computational Physics
Geometry-Driven Diffusion in Computer Vision
Geometry-Driven Diffusion in Computer Vision
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Journal of Computational Physics
Physically based modeling and animation of fire
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
Motion of curves in three spatial dimensions using a level set approach
Journal of Computational Physics
A technique of treating negative weights in WENO schemes
Journal of Computational Physics
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
Motion of curves constrained on surfaces using a level-set approach
Journal of Computational Physics
High-frequency wave propagation by the segment projection method
Journal of Computational Physics
SIAM Journal on Scientific Computing
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes
SIAM Journal on Scientific Computing
Anisotropic Diffusion in Vector Field Visualization on Euclidean Domains and Surfaces
IEEE Transactions on Visualization and Computer Graphics
Geometric optics in a phase-space-based level set and Eulerian framework
Journal of Computational Physics
A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations
Mathematics of Computation
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
A Common Framework for Curve Evolution, Segmentation and Anisotropic Diffusion
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Fast Surface Reconstruction Using the Level Set Method
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
A level set algorithm for minimizing the Mumford-Shah functional in image processing
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Algorithms for implicit deformable models
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Topologically adaptable snakes
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Image segmentation by reaction-diffusion bubbles
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
A PDE-Based Level-Set Approach for Detection and Tracking of Moving Objects
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Numerical Geometry of Images: Theory, Algorithms, and Applications
Numerical Geometry of Images: Theory, Algorithms, and Applications
Transport effects and characteristic modes in the modeling and simulation of submicron devices
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Image Processing
Total variation blind deconvolution
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows
Journal of Computational Physics
Journal of Scientific Computing
Adaptive multi-scale AMSS operator for quality detection of silks
International Journal of Computer Mathematics
Visual simulation of shockwaves
Graphical Models
Visual simulation of shockwaves
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Variational piecewise constant level set methods for shape optimization of a two-density drum
Journal of Computational Physics
Journal of Mathematical Imaging and 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
Hi-index | 31.46 |
In this paper we review the algorithm development and applications in high resolution shock capturing methods, level set methods, and PDE based methods in computer vision and image processing. The emphasis is on Stanley Osher's contribution in these areas and the impact of his work. We will start with shock capturing methods and will review the Engquist-Osher scheme, TVD schemes, entropy conditions, ENO and WENO schemes, and numerical schemes for Hamilton-Jacobi type equations. Among level set methods we will review level set calculus, numerical techniques, fluids and materials, variational approach, high codimension motion, geometric optics, and the computation of discontinuous solutions to Hamilton-Jacobi equations. Among computer vision and image processing we Will review the total variation model for image denoising, images on implicit surfaces, and the level set method in image processing and computer vision.