A new nonlinear diffusion equation model for noisy image segmentation
type: Item
instance of: scholarly article
title: A new nonlinear diffusion equation model for noisy image segmentation
zbMATH Open document ID: 1437.94012
DOI: 10.1155/2016/8745706
author: Bo Chen
author: Xiaohui Zhou
author: Li-Wei Zhang
author: Jie Wang
author: Weiqiang Zhang
author: Chen Zhang
published in: Advances in Mathematical Physics
publication date: 2018-10-17T00:00:00Z
review text: Summary: Image segmentation and image denoising are two important and fundamental topics in the field of image processing. Geometric active contour model based on level set method can deal with the problem of image segmentation, but it does not consider the problem of image denoising. In this paper, a new diffusion equation model for noisy image segmentation is proposed by incorporating some classical diffusion equation denoising models into the segmental process. An assumption about the connection between the image intensity and level set function is given firstly. Some classical denoising models are employed to describe the evolution of level set function secondly. The final nonlinear diffusion equation model for noisy image segmentation is built thirdly. Then image segmentation and image denoising are combined in a united framework. The segmental results can be presented by level set function. Experimental results show that the new model has the advantage of noise resistance and is superior to traditional segmentation model.
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 6957382
MaRDI profile type: Publication
Wikidata QID: Q59122578
full work available at URL: https://doi.org/10.1155/2016/8745706
OpenAlex ID: W2295513668
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description: scientific article; zbMATH DE number 6957382