Low-dosed X-ray computed tomography imaging by regularized fully spatial fractional-order Perona-Malik diffusion

DOI10.1155/2013/371868zbMath1291.92078OpenAlexW2061613226WikidataQ58918831 ScholiaQ58918831MaRDI QIDQ2248427

Zhiwu Liao

Publication date: 26 June 2014

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

Full work available at URL: https://doi.org/10.1155/2013/371868

Mathematics Subject Classification ID

Image analysis in multivariate analysis (62H35) Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

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Cites Work

• Unnamed Item
• Delay bound: fractal traffic passes through network servers
• A class of fractional-order multi-scale variational models and alternating projection algorithm for image denoising
• Fully fractional anisotropic diffusion for image denoising
• Separable transition density in the hybrid model for tumor-immune system competition
• Determining neighborhoods of image pixels automatically for adaptive image denoising using nonlinear time series analysis
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Sinogram restoration for low-dosed \(X\)-ray computed tomography using fractional-order Perona-Malik diffusion
• On \(1/f\) noise
• External fractional-order gradient vector Perona-Malik diffusion for sinogram restoration of low-dosed X-ray computed tomography
• On a mathematical model of immune competition
• 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