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Mathematics > Numerical Analysis

arXiv:2109.11262 (math)
[Submitted on 23 Sep 2021]

Title:Two-phase segmentation for intensity inhomogeneous images by the Allen-Cahn Local Binary Fitting Model

Authors:Chaoyu liu, Zhonghua Qiao, Qian Zhang
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Abstract:This paper proposes a new variational model by integrating the Allen-Cahn term with a local binary fitting energy term for segmenting images with intensity inhomogeneity and noise. An inhomogeneous graph Laplacian initialization method (IGLIM) is developed to give the initial contour for two-phase image segmentation problems. To solve the Allen-Cahn equation derived from the variational model, we adopt the exponential time differencing (ETD) method for temporal discretization, and the central finite difference method for spatial discretization. The energy stability of proposed numerical schemes can be proved. Experiments on various images demonstrate the necessity and superiority of proper initialization and verify the capability of our model for two-phase segmentation of images with intensity inhomogeneity and noise.
Subjects: Numerical Analysis (math.NA)
Cite as: arXiv:2109.11262 [math.NA]
  (or arXiv:2109.11262v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2109.11262

Submission history

From: Qian Zhang [view email]
[v1] Thu, 23 Sep 2021 09:58:59 UTC (3,293 KB)
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