Image Segmentation Using Active Contours with Hessian-Based Gradient Vector Flow External Force

The gradient vector flow (GVF) model has been widely used in the field of computer image segmentation. In order to achieve better results in image processing, there are many research papers based on the GVF model. However, few models include image structure. In this paper, the smoothness constraint...

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Main Authors: Qianqian Qian, Ke Cheng, Wei Qian, Qingchang Deng, Yuanquan Wang
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/22/13/4956
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author Qianqian Qian
Ke Cheng
Wei Qian
Qingchang Deng
Yuanquan Wang
author_facet Qianqian Qian
Ke Cheng
Wei Qian
Qingchang Deng
Yuanquan Wang
author_sort Qianqian Qian
collection DOAJ
description The gradient vector flow (GVF) model has been widely used in the field of computer image segmentation. In order to achieve better results in image processing, there are many research papers based on the GVF model. However, few models include image structure. In this paper, the smoothness constraint formula of the GVF model is re-expressed in matrix form, and the image knot represented by the Hessian matrix is included in the GVF model. Through the processing of this process, the relevant diffusion partial differential equation has anisotropy. The GVF model based on the Hessian matrix (HBGVF) has many advantages over other relevant GVF methods, such as accurate convergence to various concave surfaces, excellent weak edge retention ability, and so on. The following will prove the advantages of our proposed model through theoretical analysis and various comparative experiments.
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spelling doaj.art-000ac4bdee244c09a1c8e5b4e54729ea2023-12-03T14:22:25ZengMDPI AGSensors1424-82202022-06-012213495610.3390/s22134956Image Segmentation Using Active Contours with Hessian-Based Gradient Vector Flow External ForceQianqian Qian0Ke Cheng1Wei Qian2Qingchang Deng3Yuanquan Wang4School of Computer Science, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Computer Science, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Computer Science, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Artificial Intelligence, Hebei University of Technology, Tianjin 300401, ChinaThe gradient vector flow (GVF) model has been widely used in the field of computer image segmentation. In order to achieve better results in image processing, there are many research papers based on the GVF model. However, few models include image structure. In this paper, the smoothness constraint formula of the GVF model is re-expressed in matrix form, and the image knot represented by the Hessian matrix is included in the GVF model. Through the processing of this process, the relevant diffusion partial differential equation has anisotropy. The GVF model based on the Hessian matrix (HBGVF) has many advantages over other relevant GVF methods, such as accurate convergence to various concave surfaces, excellent weak edge retention ability, and so on. The following will prove the advantages of our proposed model through theoretical analysis and various comparative experiments.https://www.mdpi.com/1424-8220/22/13/4956gradient vector flowHessian matriximage structureanisotropy
spellingShingle Qianqian Qian
Ke Cheng
Wei Qian
Qingchang Deng
Yuanquan Wang
Image Segmentation Using Active Contours with Hessian-Based Gradient Vector Flow External Force
Sensors
gradient vector flow
Hessian matrix
image structure
anisotropy
title Image Segmentation Using Active Contours with Hessian-Based Gradient Vector Flow External Force
title_full Image Segmentation Using Active Contours with Hessian-Based Gradient Vector Flow External Force
title_fullStr Image Segmentation Using Active Contours with Hessian-Based Gradient Vector Flow External Force
title_full_unstemmed Image Segmentation Using Active Contours with Hessian-Based Gradient Vector Flow External Force
title_short Image Segmentation Using Active Contours with Hessian-Based Gradient Vector Flow External Force
title_sort image segmentation using active contours with hessian based gradient vector flow external force
topic gradient vector flow
Hessian matrix
image structure
anisotropy
url https://www.mdpi.com/1424-8220/22/13/4956
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AT weiqian imagesegmentationusingactivecontourswithhessianbasedgradientvectorflowexternalforce
AT qingchangdeng imagesegmentationusingactivecontourswithhessianbasedgradientvectorflowexternalforce
AT yuanquanwang imagesegmentationusingactivecontourswithhessianbasedgradientvectorflowexternalforce