Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation
The noise pollution in tourist street view images is caused by various reasons. A major challenge that researchers have been facing is to find a way to effectively remove noise. Although in the past few decades people have proposed many methods of denoising tourist street scene images, the research...
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2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6547350 |
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| author | Xiaofeng Yang |
| author_facet | Xiaofeng Yang |
| author_sort | Xiaofeng Yang |
| collection | DOAJ |
| description | The noise pollution in tourist street view images is caused by various reasons. A major challenge that researchers have been facing is to find a way to effectively remove noise. Although in the past few decades people have proposed many methods of denoising tourist street scene images, the research on denoising technology of tourist street scene images is still not outdated. There is no doubt that it has become a basic and important research topic in the field of digital image processing. The evolutionary diffusion method based on partial differential equations is helpful to improve the quality of noisy tourist street scene images. This method can process tourist street scene images according to people’s expected diffusion behavior. The adaptive total variation model proposed in this paper is improved on the basis of the total variation model and the Gaussian thermal diffusion model. We analyze the classic variational PDE-based denoising model and get a unified variational PDE energy functional model. We also give a detailed analysis of the diffusion performance of the total variational model and then propose an adaptive total variational diffusion model. By improving the diffusion coefficient and introducing a curvature operator that can distinguish details such as edges, it can effectively denoise the tourist street scene image, and it also has a good effect on avoiding the step effect. Through the improvement of the ROF model, the loyalty term and regular term of the model are parameterized, the adaptive total variation denoising model of this paper is established, and a detailed analysis is carried out. The experimental results show that compared with some traditional denoising models, the model in this paper can effectively suppress the step effect in the denoising process, while protecting the texture details of the edge area of the tourist street scene image. In addition, the model in this paper is superior to traditional denoising models in terms of denoising performance and texture structure protection. |
| format | Article |
| id | doaj-art-14df92b8686e494bace45b5295b3ac96 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-14df92b8686e494bace45b5295b3ac962025-02-03T01:25:24ZengWileyAdvances in Mathematical Physics1687-91392021-01-01202110.1155/2021/6547350Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential EquationXiaofeng Yang0School of Humanities and EducationThe noise pollution in tourist street view images is caused by various reasons. A major challenge that researchers have been facing is to find a way to effectively remove noise. Although in the past few decades people have proposed many methods of denoising tourist street scene images, the research on denoising technology of tourist street scene images is still not outdated. There is no doubt that it has become a basic and important research topic in the field of digital image processing. The evolutionary diffusion method based on partial differential equations is helpful to improve the quality of noisy tourist street scene images. This method can process tourist street scene images according to people’s expected diffusion behavior. The adaptive total variation model proposed in this paper is improved on the basis of the total variation model and the Gaussian thermal diffusion model. We analyze the classic variational PDE-based denoising model and get a unified variational PDE energy functional model. We also give a detailed analysis of the diffusion performance of the total variational model and then propose an adaptive total variational diffusion model. By improving the diffusion coefficient and introducing a curvature operator that can distinguish details such as edges, it can effectively denoise the tourist street scene image, and it also has a good effect on avoiding the step effect. Through the improvement of the ROF model, the loyalty term and regular term of the model are parameterized, the adaptive total variation denoising model of this paper is established, and a detailed analysis is carried out. The experimental results show that compared with some traditional denoising models, the model in this paper can effectively suppress the step effect in the denoising process, while protecting the texture details of the edge area of the tourist street scene image. In addition, the model in this paper is superior to traditional denoising models in terms of denoising performance and texture structure protection.http://dx.doi.org/10.1155/2021/6547350 |
| spellingShingle | Xiaofeng Yang Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation Advances in Mathematical Physics |
| title | Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation |
| title_full | Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation |
| title_fullStr | Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation |
| title_full_unstemmed | Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation |
| title_short | Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation |
| title_sort | denoising of tourist street scene image based on rof model of second order partial differential equation |
| url | http://dx.doi.org/10.1155/2021/6547350 |
| work_keys_str_mv | AT xiaofengyang denoisingoftouriststreetsceneimagebasedonrofmodelofsecondorderpartialdifferentialequation |