Sinogram restoration for low-dosed \(X\)-ray computed tomography using fractional-order Perona-Malik diffusion
type: Item
instance of: scholarly article
title: Sinogram restoration for low-dosed \(X\)-ray computed tomography using fractional-order Perona-Malik diffusion
zbMATH Open document ID: 1264.94015
DOI: 10.1155/2012/391050
author: Shaoxiang Hu
author: Zhiwu Liao
author: Wufan Chen
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: Existing integer-order nonlinear anisotropic diffusion (NAD) used in noise suppressing will produce undesirable staircase effect or speckle effect. In this paper, we propose a new scheme, named fractal-order Perona-Malik diffusion (FPMD), which replaces the integer-order derivative of the Perona-Malik (PM) diffusion with the fractional-order derivative using G-L fractional derivative. FPMD, which is a interpolation between integer-order NAD and fourth-order partial differential equations, provides a more flexible way to balance the noise reducing and anatomical details preserving. Smoothing results for phantoms and real sinograms show that FPMD with suitable parameters can suppress the staircase effects and speckle effects efficiently. In addition, FPMD also has a good performance in visual quality and root mean square errors (RMSE).
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 92C55
Mathematics Subject Classification ID: 35K10
zbMATH DE Number: 6173245
Wikidata QID: Q58911518
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/391050
OpenAlex ID: W2049497320
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description: scientific article; zbMATH DE number 6173245