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Academic Journal of Mathematical Sciences, 2022, 3(1); doi: 10.25236/AJMS.2022.030106.

Noisy image segmentation model combining PDE and improved variational level set method

Author(s)

Yuxia Ma, Guicang Zhang

Corresponding Author:
Yuxia Ma
Affiliation(s)

Mathematics and Statistics, Northwest Normal University, Gansu, Lanzhou, 730070, China

Abstract

During image shooting, transmission and acquisition, noise is easily introduced into the image. For pixels in an image, the introduction of noise often changes the intensity values of some pixels, resulting in a large difference in intensity between those pixels and their neighbors. Aiming at the image segmentation problem of weak edge and different types of noise, this paper proposes a new variational horizontal set noise image segmentation model, which is mainly used for the segmentation of target images of different noises. Experimental results show that the traditional PDE segmentation model method does not have obvious segmentation effect on noisy images, while the segmentation method proposed in this paper that combines PDE and improved variational level set has a better segmentation effect on different types of noisy images.

Keywords

PDE (Partial Differential Equation); Variational horizontal set; symbolic distance function; image segmentation

Cite This Paper

Yuxia Ma, Guicang Zhang. Noisy image segmentation model combining PDE and improved variational level set method. Academic Journal of Mathematical Sciences (2022) Vol. 3, Issue 1: 35-46. https://doi.org/10.25236/AJMS.2022.030106.

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