Two-Phase Segmentation for Intensity Inhomogeneous Images by the Allen--Cahn Local Binary Fitting Model

DOI10.1137/21M1421830MaRDI QIDQ5028409

Chaoyu Liu, ZhongHua Qiao, Qian Zhang

Publication date: 9 February 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11262

zbMATH Keywords

image segmentationedge detectionAllen-Cahn equationenergy stabilityexponential time differencing methodinhomogeneous graph Laplacian

Mathematics Subject Classification ID

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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (5)

Multi-phase image segmentation by the Allen-Cahn Chan-Vese model ⋮ A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations ⋮ An Active Contour Model with Local Variance Force Term and Its Efficient Minimization Solver for Multiphase Image Segmentation ⋮ Unnamed Item ⋮ A phase-field method for elastic mechanics with large deformation

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