A shock-capturing algorithm for the differential equations of dilation and erosion

DOI10.1007/s10851-006-9696-7zbMath1478.94015OpenAlexW2031366974MaRDI QIDQ851828

Joachim Weickert, Michael Breuß

Publication date: 22 November 2006

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-006-9696-7

zbMATH Keywords

finite difference methodsflux corrected transportmorphological dilationmorphological erosion

Mathematics Subject Classification ID

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)

Related Items (8)

A Directional Rouy-Tourin Scheme for Adaptive Matrix-Valued Morphology ⋮ Highly accurate schemes for PDE-based morphology with general convex structuring elements ⋮ Adaptive continuous-scale morphology for matrix fields ⋮ PDE-Based Color Morphology Using Matrix Fields ⋮ Discrete Flux-Corrected Transport: Numerical Analysis, Tensor-Valued Extension and Application in Image Processing ⋮ PDE evolutions for M-smoothers in one, two, and three dimensions ⋮ Segmentation and Skeletonization on Arbitrary Graphs Using Multiscale Morphology and Active Contours ⋮ Anomalous diffusion, dilation, and erosion in image processing

Uses Software

• SHASTA

Cites Work

• Fully multidimensional flux-corrected transport algorithms for fluids
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Flux-corrected transport. II: Generalizations of the method
• Flux-corrected transport. III: Minimal-error FCT algorithms
• Axioms and fundamental equations of image processing
• Introduction to ``Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
• Flux correction tools for finite elements
• Level set methods and dynamic implicit surfaces
• Mathematical morphology: 40 years on. Proceedings of the 7th international Symposium on mathematical morphology, April 18--20, 2005.
• A Viscosity Solutions Approach to Shape-From-Shading
• Finite Volume Methods for Hyperbolic Problems
• Flux-Corrected Transport
• Scale Space and PDE Methods in Computer Vision
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
• 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 shock-capturing algorithm for the differential equations of dilation and erosion