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Papers

Image Segmentation Based on Modified Fractional Allen-Cahn Equation

https://doi.org/10.1155/2019/3980181

  • Author이동선,이승규
  • JournalMathematical Problems in Engineering (1024-123X), 2019, 3980181-1 ~ 3.980181-6
  • Enrollment typeSCIE
  • publication date 20190130
We present the image segmentation model using the modified Allen?Cahn equation with a fractional Laplacian. The motion of the interface for the classical Allen?Cahn equation is known as the mean curvature flows, whereas its dynamics is changed to the macroscopic limit of Levy process by replacing the Laplacian operator with the fractional one.