Discrete Flux-Corrected Transport: Numerical Analysis, Tensor-Valued Extension and Application in Image Processing

DOI10.1007/978-3-642-33221-0_5zbMath1263.65081OpenAlexW970918377MaRDI QIDQ4915529

Michael Breuß, Bernhard Burgeth, Luis Pizarro

Publication date: 10 April 2013

Published in: Notes on Numerical Fluid Mechanics and Multidisciplinary Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-33221-0_5

zbMATH Keywords

convergencenumerical resultsimage processingupwind schememedical image analysistensor-valued datadiscrete flux-corrected transportviscous artifacts

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) First-order nonlinear hyperbolic equations (35L60) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Cites Work

• Highly accurate schemes for PDE-based morphology with general convex structuring elements
• Adaptive continuous-scale morphology for matrix fields
• A shock-capturing algorithm for the differential equations of dilation and erosion
• Visualization and processing of tensor fields. Advances and perspectives
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Flux-corrected transport. III: Minimal-error FCT algorithms
• Axioms and fundamental equations of image processing
• A Directional Rouy-Tourin Scheme for Adaptive Matrix-Valued Morphology
• PDE-based Morphology for Matrix Fields: Numerical Solution Schemes
• Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
• A Viscosity Solutions Approach to Shape-From-Shading
• Finite Volume Methods for Hyperbolic Problems
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Discrete Flux-Corrected Transport: Numerical Analysis, Tensor-Valued Extension and Application in Image Processing