Mean-curvature flow of Voronoi diagrams

DOI10.1007/s00332-014-9221-xzbMath1350.53081OpenAlexW1993906484MaRDI QIDQ2018850

Dejan Slepčev, Matt Elsey

Publication date: 25 March 2015

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-014-9221-x

zbMATH Keywords

Voronoi diagramsmean-curvature flowcoarsening ratenetwork of curvesgrain boundary networks

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Analysis of microstructure in solids (74N15)

Related Items (1)

Self-similarity in two-phase curvature flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Self-similar solutions to a kinetic model for grain growth
• Diffusion generated motion for grain growth in two and three dimensions
• Crystalline curvature flow of planar networks
• Upper bounds on coarsening rates
• Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms
• On the Shortening Rate of Collections of Plane Convex Curves by the Area-Preserving Mean Curvature Flow
• Large-scale simulation of normal grain growth via diffusion-generated motion
• Coarsening Rates for a Droplet Model: Rigorous Upper Bounds
• A Variational Approach to Modeling and Simulation of Grain Growth
• Coarsening in Nonlocal Interfacial Systems
• Towards a Statistical Theory of Texture Evolution in Polycrystals
• EVOLUTION OF GRAIN BOUNDARIES
• On the Coarsening Rates for Attachment-Limited Kinetics
• On manifolds with corners

This page was built for publication: Mean-curvature flow of Voronoi diagrams