Adaptive fourth-order partial differential equation filter for image denoising

DOI10.1016/j.aml.2011.01.028zbMath1218.35006OpenAlexW2060653583WikidataQ115360887 ScholiaQ115360887MaRDI QIDQ540270

Zhenyuan Guo, Xinwu Liu, Li-Hong Huang

Publication date: 1 June 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.01.028

zbMATH Keywords

edge blurringedge-preserving regularization filternonlinear anisotropic diffusionstaircasing effects

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

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Cites Work

• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• A note on the dual treatment of higher-order regularization functionals
• Adaptive total variation for image restoration in BV space
• Entropy solutions for a fourth-order nonlinear degenerate problem for noise removal
• A dual algorithm for minimization of the LLT model
• Iterative image restoration combining total variation minimization and a second-order functional
• Fourth-order partial differential equations for noise removal
• Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
• High-Order Total Variation-Based Image Restoration
• Traveling Wave Solutions of Fourth Order PDEs for Image Processing

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