A Novel Adaptive Fractional Differential Active Contour Image Segmentation Method

When the image is affected by strong noise and uneven intensity, the traditional active contour models often cannot obtain accurate results. In this paper, a novel adaptive fractional differential active contour image segmentation method is proposed to solve the above problem. At first, in order to...

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Main Authors: Yanzhu Zhang, Lijun Yang, Yan Li
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/6/10/579
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author Yanzhu Zhang
Lijun Yang
Yan Li
author_facet Yanzhu Zhang
Lijun Yang
Yan Li
author_sort Yanzhu Zhang
collection DOAJ
description When the image is affected by strong noise and uneven intensity, the traditional active contour models often cannot obtain accurate results. In this paper, a novel adaptive fractional differential active contour image segmentation method is proposed to solve the above problem. At first, in order to extract more texture parts of the image, an adaptively fractional order matrix is constructed according to the gradient information of the image, varying the fractional order of each pixel. Then, the traditional edge-stopping function in the regularization term is susceptible to noise, and a new fractional-order edge-stopping function is designed to improve noise resistance. In this paper, a fitting term based on adaptive fractional differentiation is introduced to solve the problem of improper selection of the initial contour position leading to inaccurate segmentation results so that the initial contour position can be selected arbitrarily. Finally, the experimental results show that the proposed method can effectively improve the segmentation accuracy of noise images and weak-edge images and can arbitrarily select the position selection of the initial contour.
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spelling doaj.art-4d9017940de3488aafceca36891377c12023-11-24T00:11:59ZengMDPI AGFractal and Fractional2504-31102022-10-0161057910.3390/fractalfract6100579A Novel Adaptive Fractional Differential Active Contour Image Segmentation MethodYanzhu Zhang0Lijun Yang1Yan Li2School of Automation and Electrical Engineering, Shenyang Ligong University, Shenyang 110159, ChinaSchool of Automation and Electrical Engineering, Shenyang Ligong University, Shenyang 110159, ChinaSchool of Automation and Electrical Engineering, Shenyang Ligong University, Shenyang 110159, ChinaWhen the image is affected by strong noise and uneven intensity, the traditional active contour models often cannot obtain accurate results. In this paper, a novel adaptive fractional differential active contour image segmentation method is proposed to solve the above problem. At first, in order to extract more texture parts of the image, an adaptively fractional order matrix is constructed according to the gradient information of the image, varying the fractional order of each pixel. Then, the traditional edge-stopping function in the regularization term is susceptible to noise, and a new fractional-order edge-stopping function is designed to improve noise resistance. In this paper, a fitting term based on adaptive fractional differentiation is introduced to solve the problem of improper selection of the initial contour position leading to inaccurate segmentation results so that the initial contour position can be selected arbitrarily. Finally, the experimental results show that the proposed method can effectively improve the segmentation accuracy of noise images and weak-edge images and can arbitrarily select the position selection of the initial contour.https://www.mdpi.com/2504-3110/6/10/579active contour modelimage segmentationfractional differential operatoredge-stopping functionlocal fitting variance
spellingShingle Yanzhu Zhang
Lijun Yang
Yan Li
A Novel Adaptive Fractional Differential Active Contour Image Segmentation Method
Fractal and Fractional
active contour model
image segmentation
fractional differential operator
edge-stopping function
local fitting variance
title A Novel Adaptive Fractional Differential Active Contour Image Segmentation Method
title_full A Novel Adaptive Fractional Differential Active Contour Image Segmentation Method
title_fullStr A Novel Adaptive Fractional Differential Active Contour Image Segmentation Method
title_full_unstemmed A Novel Adaptive Fractional Differential Active Contour Image Segmentation Method
title_short A Novel Adaptive Fractional Differential Active Contour Image Segmentation Method
title_sort novel adaptive fractional differential active contour image segmentation method
topic active contour model
image segmentation
fractional differential operator
edge-stopping function
local fitting variance
url https://www.mdpi.com/2504-3110/6/10/579
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AT yanzhuzhang noveladaptivefractionaldifferentialactivecontourimagesegmentationmethod
AT lijunyang noveladaptivefractionaldifferentialactivecontourimagesegmentationmethod
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