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

Abstract

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.

Original language	English
Pages (from-to)	787-795
Number of pages	9
Journal	Journal of X-Ray Science and Technology
Volume	24
Issue number	6
DOIs	https://doi.org/10.3233/XST-160587
Publication status	Published - 2016

Keywords

Optimization
Radon's inversion equation
tomographic reconstruction
X-ray tomography

ASJC Scopus subject areas

Radiation
Instrumentation
Radiology Nuclear Medicine and imaging
Condensed Matter Physics
Electrical and Electronic Engineering

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10.3233/XST-160587

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abstract = "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.",

keywords = "Optimization, Radon's inversion equation, tomographic reconstruction, X-ray tomography",

author = "Libin, {E. E.} and Chakhlov, {S. V.} and D. Trinca",

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AU - Chakhlov, S. V.

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KW - Radon's inversion equation

KW - tomographic reconstruction

KW - X-ray tomography

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