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

Access to Document

10.3233/XST-160587

Fingerprint Dive into the research topics of 'Direct integration of the inverse Radon equation for X-ray computed tomography'. Together they form a unique fingerprint.

Cite this

@article{fcb8b4a9be0748178f866b9265583369,

title = "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.",

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

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

year = "2016",

doi = "10.3233/XST-160587",

language = "English",

volume = "24",

pages = "787--795",

journal = "Journal of X-Ray Science and Technology",

issn = "0895-3996",

publisher = "IOS Press",

number = "6",

}

TY - JOUR

T1 - Direct integration of the inverse Radon equation for X-ray computed tomography

AU - Libin, E. E.

AU - Chakhlov, S. V.

AU - Trinca, D.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Optimization

KW - Radon's inversion equation

KW - tomographic reconstruction

KW - X-ray tomography

UR - http://www.scopus.com/inward/record.url?scp=85002306694&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85002306694&partnerID=8YFLogxK

U2 - 10.3233/XST-160587

DO - 10.3233/XST-160587

M3 - Article

C2 - 27612045

AN - SCOPUS:85002306694

VL - 24

SP - 787

EP - 795

JO - Journal of X-Ray Science and Technology

JF - Journal of X-Ray Science and Technology

SN - 0895-3996

IS - 6

ER -