A diffusion generated method for orthogonal matrix-valued fields
From MaRDI portal
Publication:5207432
DOI10.1090/mcom/3473zbMath1435.65144arXiv1711.01365OpenAlexW2955381936MaRDI QIDQ5207432
No author found.
Publication date: 27 December 2019
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.01365
Ginzburg-Landau equationAllen-Cahn equationconstrained harmonic mapMerriman-Bence-Osher (MBO) diffusion generated methodorthogonal matrix-valued field
Numerical optimization and variational techniques (65K10) Heat equation (35K05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Eigenvalues, singular values, and eigenvectors (15A18) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Asymptotic expansions of solutions to PDEs (35C20) Numerical methods for discrete and fast Fourier transforms (65T50) Ginzburg-Landau equations (35Q56) Integro-partial differential equations (35R09) Quasilinear parabolic equations with mean curvature operator (35K93)
Related Items (12)
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations ⋮ Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations ⋮ Diffusion generated methods for denoising target-valued images ⋮ An Efficient Unconditionally Stable Method for Dirichlet Partitions in Arbitrary Domains ⋮ An unconditionally stable threshold dynamics method for the Willmore flow ⋮ Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem ⋮ Fast operator splitting methods for obstacle problems ⋮ An Iterative Thresholding Method for Topology Optimization for the Navier–Stokes Flow ⋮ An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces ⋮ An efficient iterative method for reconstructing surface from point clouds ⋮ Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes ⋮ A Characteristic Function-Based Algorithm for Geodesic Active Contours
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Convergence of the thresholding scheme for multi-phase mean-curvature flow
- Consistency result for a non monotone scheme for anisotropic mean curvature flow
- Extracting grain boundaries and macroscopic deformations from images on atomic scale
- Level set equations on surfaces via the closest point method
- Solving eigenvalue problems on curved surfaces using the closest point method
- An improvement of a recent Eulerian method for solving PDEs on general geometries
- Riemannian geometry for the statistical analysis of diffusion tensor data
- Threshold dynamics for high order geometric motions
- A diffusion-generated approach to multiphase motion
- Efficient algorithms for diffusion-generated motion by mean curvature
- Threshold dynamics type approximation schemes for propagating fronts
- Motion of multiple junctions: A level set approach
- A simple scheme for volume-preserving motion by mean curvature
- Diffusion-generated motion by mean curvature for filaments
- Invariant convex bodies for strongly elliptic systems
- An efficient threshold dynamics method for wetting on rough surfaces
- An efficient iterative thresholding method for image segmentation
- Auction dynamics: a volume constrained MBO scheme
- An efficient boundary integral scheme for the MBO threshold dynamics method via the NUFFT
- A diffusion generated method for computing Dirichlet partitions
- Analysis of diffusion generated motion for mean curvature flow in codimension two: a gradient-flow approach
- The type 3 nonuniform FFT and its applications
- Augmented-Lagrangian regularization of matrix-valued maps
- Diffusion generated methods for denoising target-valued images
- An improved threshold dynamics method for wetting dynamics
- Mean curvature, threshold dynamics, and phase field theory on finite graphs
- Convergence of thresholding schemes incorporating bulk effects
- Diffusion generated motion of curves on surfaces
- A simple embedding method for solving partial differential equations on surfaces
- Threshold dynamics for the piecewise constant Mumford-Shah functional
- Nonsmooth analysis of singular values. I: Theory
- A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images
- An MBO Scheme on Graphs for Classification and Image Processing
- Phase transition for potentials of high-dimensional wells
- The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
- Reaction-Diffusion Processes and Evolution to Harmonic Maps
- Fast Fourier Transforms for Nonequispaced Data
- Convergence of diffusion generated motion to motion by mean curvature
- An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg--Landau Theory
- Threshold dynamics for anisotropic surface energies
- Accelerating the Nonuniform Fast Fourier Transform
- A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
- Convolution-Generated Motion and Generalized Huygens' Principles for Interface Motion
- On Covariant Derivatives and Their Applications to Image Regularization
- Interface Dynamics for an Allen--Cahn-Type Equation Governing a Matrix-Valued Field
- Threshold Dynamics for Networks with Arbitrary Surface Tensions
- Fast Automated Detection of Crystal Distortion and Crystal Defects in Polycrystal Images
- A simple and efficient scheme for phase field crystal simulation
- Optimal Rate of Convergence of the Bence--Merriman--Osher Algorithm for Motion by Mean Curvature
- Convergence of an Algorithm for the Anisotropic and Crystalline Mean Curvature Flow
- Semidefinite Descriptions of the Convex Hull of Rotation Matrices
- Ginzburg-Landau vortices
- Convolution-thresholding methods for interface motion
- Variational problems and partial differential equations on implicit surfaces
This page was built for publication: A diffusion generated method for orthogonal matrix-valued fields
