Low-Dosed X-Ray Computed Tomography Imaging by Regularized Fully Spatial Fractional-Order Perona-Malik Diffusion
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Existing fractional-order Perona-Malik Diffusion (FOPMD) algorithms used in noise suppressing suffer from undesired artifacts and speckle effect, which hamper FOPMD used in low-dosed X-ray computed tomography (LDCT) imaging.
In this paper, we propose a new FOPMD method for low-dose computed tomography (LDCT) imaging, which is called regularized fully spatial FOPMD (RFS-FOPMD), whose numerical scheme is also given based on Grünwald-Letnikov derivative (G-L derivative).
Here, fully spatial FOPMD represents all the integer-order derivatives (IODs) in the right hand of Perona-Malik Diffusion (PMD) which are replaced by fractional-order derivatives (FODs).
Since the new scheme has advantages of both regularization and FOPMD, it has good abilities in singularities preserving while suppressing noise.
Some real sinogram of LDCT are used to compare the different performances not only for some classical but also for some state-of-art diffusion schemes.
These schemes include PMD, regularized PMD (RPMD), and FOPMD in (Hu et al.
2012).
Experimental results show that besides good ability in edge preserving, the new scheme also has good stability for iteration number and can avoid artifacts and speckle effect with suitable parameters.
American Psychological Association (APA)
Liao, Zhiwu. 2013. Low-Dosed X-Ray Computed Tomography Imaging by Regularized Fully Spatial Fractional-Order Perona-Malik Diffusion. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-466807
Modern Language Association (MLA)
Liao, Zhiwu. Low-Dosed X-Ray Computed Tomography Imaging by Regularized Fully Spatial Fractional-Order Perona-Malik Diffusion. Advances in Mathematical Physics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-466807
American Medical Association (AMA)
Liao, Zhiwu. Low-Dosed X-Ray Computed Tomography Imaging by Regularized Fully Spatial Fractional-Order Perona-Malik Diffusion. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-466807
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466807