External fractional-order gradient vector Perona-Malik diffusion for sinogram restoration of low-dosed X-ray computed tomography

DOI10.1155/2013/516919zbMath1291.35412OpenAlexW2015198058WikidataQ58918854 ScholiaQ58918854MaRDI QIDQ2248441

Shaoxiang Hu

Publication date: 26 June 2014

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/516919

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fractional partial differential equations (35R11)

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Cites Work

• A class of fractional-order multi-scale variational models and alternating projection algorithm for image denoising
• Fully fractional anisotropic diffusion for image denoising
• Approximating ideal filters by systems of fractional order
• Characteristic roots of a class of fractional oscillators
• Determining neighborhoods of image pixels automatically for adaptive image denoising using nonlinear time series analysis
• Solving Abel's type integral equation with Mikusinski's operator of fractional order
• Sinogram restoration for low-dosed \(X\)-ray computed tomography using fractional-order Perona-Malik diffusion
• On \(1/f\) noise
• Fourth-order partial differential equations for noise removal
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• High-Order Total Variation-Based Image Restoration
• Electronic Noise Modeling in Statistical Iterative Reconstruction