A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation
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 di...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/8745706 |
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| author | Bo Chen Xiao-Hui Zhou Li-Wei Zhang Jie Wang Wei-Qiang Zhang Chen Zhang |
| author_facet | Bo Chen Xiao-Hui Zhou Li-Wei Zhang Jie Wang Wei-Qiang Zhang Chen Zhang |
| author_sort | Bo Chen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-de904b139c054d29929ead4100cbf0f8 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-de904b139c054d29929ead4100cbf0f82025-02-03T01:31:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/87457068745706A New Nonlinear Diffusion Equation Model for Noisy Image SegmentationBo Chen0Xiao-Hui Zhou1Li-Wei Zhang2Jie Wang3Wei-Qiang Zhang4Chen Zhang5College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, ChinaSchool of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, ChinaCollege of Computer Science and Technology, Beijing University of Technology, Beijing 100124, ChinaCollege of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, ChinaImage 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.http://dx.doi.org/10.1155/2016/8745706 |
| spellingShingle | Bo Chen Xiao-Hui Zhou Li-Wei Zhang Jie Wang Wei-Qiang Zhang Chen Zhang A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation Advances in Mathematical Physics |
| title | A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation |
| title_full | A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation |
| title_fullStr | A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation |
| title_full_unstemmed | A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation |
| title_short | A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation |
| title_sort | new nonlinear diffusion equation model for noisy image segmentation |
| url | http://dx.doi.org/10.1155/2016/8745706 |
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