Two-Phase Image Segmentation by the Allen-Cahn Equation and a Nonlocal Edge Detection Operator

DOI10.4208/nmtma.OA-2022-0008sMaRDI QIDQ5885665

Qian Zhang, ZhongHua Qiao

Publication date: 4 April 2023

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.08992

zbMATH Keywords

maximum principleimage segmentationAllen-Cahn equationenergy stabilitynonlocal edge detection operator

Mathematics Subject Classification ID

Image analysis in multivariate analysis (62H35) Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (4)

Multi-phase image segmentation by the Allen-Cahn Chan-Vese model ⋮ Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation ⋮ An Active Contour Model with Local Variance Force Term and Its Efficient Minimization Solver for Multiphase Image Segmentation ⋮ Unnamed Item

Uses Software

• mftoolbox

Cites Work

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