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Image Denoising and Inpainting Strategy Based on Partial Differential Equation

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Cyber Security Intelligence and Analytics (CSIA 2021)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1343))

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Abstract

With the increasing of computer processing ability and the increasing demand of multimedia information processing in information society, image processing has become a very active research field. The denoising and enhancement of images is to improve the quality of images, so that they are more suitable for the practical application needs, so it has a high research value. This paper mainly studies the methods of image denoising and enhancement under the framework of PDE theory, especially the difficulties encountered in the theory and practical application of the methods. This paper focuses on the image denoising and enhancement, analyzes the axiomatic partial differential equation model, partial differential equation model based on variation and geometric partial differential equation model. It discusses a series of difficult problems in image processing method based on PDE and puts forward solutions.

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References

  1. AShi, C.: Geometric image model and its application in medical image processing. Doctoral dissertation of Nanjing University of science and technology (2005)

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  2. Xiao, L.: Theory, algorithm and application of image modeling based on variational PDE and multifractal. Doctoral dissertation. Nanjing University of technology (2003)

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  3. Shi, C., Wang, H., Wang, Y., Xia, D.: Image nonlinear diffusion filtering in wavelet domain. Chin. J. Image Graph. 9(12), 1449–1453 (2004)

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  4. Jia, D., Huang, F., Su, H.: A new image smoothing method based on higher order nonlinear diffusion. Acta Comput. Sinica 28(5), 882–891 (2005)

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Acknowledgement

This article is the research result of the online open course project of Yunnan University of Finance and Economics.

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Correspondence to RongHua Cheng .

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Wang, B., Cheng, R. (2021). Image Denoising and Inpainting Strategy Based on Partial Differential Equation. In: Xu, Z., Parizi, R.M., Loyola-González, O., Zhang, X. (eds) Cyber Security Intelligence and Analytics. CSIA 2021. Advances in Intelligent Systems and Computing, vol 1343. Springer, Cham. https://doi.org/10.1007/978-3-030-69999-4_127

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