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Zbl 1218.35006
Liu, Xinwu; Huang, Lihong; Guo, Zhenyuan
Adaptive fourth-order partial differential equation filter for image denoising. (English)
[J] Appl. Math. Lett. 24, No. 8, 1282-1288 (2011). ISSN 0893-9659

Summary: To overcome the staircasing effects and simultaneously avoid edge blurring, this paper describes a fourth-order partial differential equation based edge-preserving regularization filter for noise removal. This technique is closely related to the nonlinear anisotropic diffusion. Compared results distinctly demonstrate the superiority of our proposed scheme over the LLT model, in terms of removing noise while sharply maintaining the edge features.
MSC 2000:
*35A15 Variational methods (PDE)
94A08 Image processing

Keywords: staircasing effects; edge blurring; edge-preserving regularization filter; nonlinear anisotropic diffusion

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