Direct integration of the inverse Radon equation for X-ray computed tomography

A new mathematical appoach using the inverse Radon equation for restoration of images in problems of linear two-dimensional x-ray tomography is formulated. In this approach, Fourier transformation is not used, and it gives the chance to create the practical computing algorithms having more reliable...

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Bibliographic Details
Published inJournal of X-ray science and technology Vol. 24; no. 6; pp. 787 - 795
Main Authors Libin, E E, Chakhlov, S V, Trinca, D
Format Journal Article
LanguageEnglish
Published Netherlands 22.11.2016
Subjects
Algorithms
Fourier Analysis
Image Processing, Computer-Assisted - methods
Phantoms, Imaging
Radon
Software
Tomography, X-Ray Computed - methods
X-ray tomography
Radon’s inversion equation
tomographic reconstruction
Optimization
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Summary:A new mathematical appoach using the inverse Radon equation for restoration of images in problems of linear two-dimensional x-ray tomography is formulated. In this approach, Fourier transformation is not used, and it gives the chance to create the practical computing algorithms having more reliable mathematical substantiation. Results of software implementation show that for especially for low number of projections, the described approach performs better than standard X-ray tomographic reconstruction algorithms.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0895-3996
1095-9114
DOI:10.3233/XST-160587