A Fourth-Order Compact Finite Difference Scheme for Higher-Order PDE-Based Image Registration
DOI10.4208/eajam.270415.280915azbMath1481.65133OpenAlexW2487294936MaRDI QIDQ5372030
Sopida Jewprasert, Noppadol Chumchob, Chantana Chantrapornchai
Publication date: 23 October 2017
Published in: Unnamed Author (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.270415.280915a
fourth-order compact finite difference schemelocal Fourier analysisnonlinear biharmonic equationcurvature image registrationnonlinear multi-grid method
Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items (1)
Uses Software
Cites Work
- A robust multigrid approach for variational image registration models
- An efficient compact difference scheme for solving the streamfunction formulation of the incompressible Navier-Stokes equations
- Single cell discretizations of order two and four for biharmonic problems
- Multigrid solution of high order discretisation for three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind
- Fourier mode analysis of multigrid methods for partial differential equations with random coefficients
- Multigrid method and fourth-order compact difference discretization scheme with unequal meshsizes for 3D Poisson equation
- Curvature based image registration
- A unified approach to fast image registration and a new curvature based registration technique.
- Some recent developments of Numerov's method
- Nonlinear multigrid methods for total variation image denoising
- A Fourier domain framework for variational image registration
- A full curvature based algorithm for image registration
- On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation
- A translation and rotation invariant Gauss-Newton like scheme for image registration
- Iterative Multigrid Regularization Techniques for Image Matching
- Robust Parallel Smoothing for Multigrid Via Sparse Approximate Inverses
- A Fourth-Order Variational Image Registration Model and Its Fast Multigrid Algorithm
- Numerical optimization for constrained image registration
- New multigrid smoothers for the Oseen problem
- Improved variational image registration model and a fast algorithm for its numerical approximation
- An Optimization‐Based Multilevel Algorithm for Total Variation Image Denoising
- A new high accuracy finite difference discretization for the solution of 2D nonlinear biharmonic equations using coupled approach
- A fast full multigrid solver for applications in image processing
- Multigrid solution of the optical flow system using a combined diffusion‐ and curvature‐based regularizer
- A multigrid method for anisotropic PDEs in elastic image registration
- FAIR
- Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations
- Multigrid Solution of Automatically Generated High-Order Discretizations for the Biharmonic Equation
- A Multigrid Tutorial, Second Edition
- Difference methods of order two and four for systems of mildly nonlinear biharmonic problems of the second kind in two space dimensions
- On Two Multigrid Algorithms for Modeling Variational Multiphase Image Segmentation
- Vectorial Total Variation-Based Regularization for Variational Image Registration
- A Multigrid Method for a Fourth-Order Diffusion Equation with Application to Image Processing
- A Multilevel Method for Image Registration
- Solving the Biharmonic Equation as Coupled Finite Difference Equations
- The Coupled Equation Approach to the Numerical Solution of the Biharmonic Equation by Finite Differences. II
- Block Five Diagonal Matrices and the Fast Numerical Solution of the Biharmonic Equation
- Image Registration Based on Multiscale Energy Information
- Scale Space and PDE Methods in Computer Vision
- Multigrid Algorithm for High Order Denoising
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A Fourth-Order Compact Finite Difference Scheme for Higher-Order PDE-Based Image Registration
