Iterative Reconstruction in X-ray Fluorescence Tomography Based on Radon Inversion

Author

Miqueles, Eduardo X. ; De Pierro, Alvaro R.

Author_Institution

Dept. of Appl. Math., Univ. of Campinas (UNICAMP), Campinas, Brazil

Volume

30

Issue

2

fYear

2011

Firstpage

438

Lastpage

450

Abstract

We describe a new approach for the inversion of the generalized attenuated radon transform in X-ray fluorescence computed tomography (XFCT). The approach consists of using the radon inverse as an approximation for the actual one, followed by an iterative refinement. Also, we analyze the problem of retrieving the attenuation map directly from the emission data, giving rise to a novel alternating method for the solution. We applied our approach to real and simulated XFCT data and compared its performance to previous inversion algorithms for the problem, showing its main advantages: better images than those obtained by other analytic methods and much faster than iterative methods in the discrete setting.

Keywords

Radon transforms; computerised tomography; diagnostic radiography; fluorescence; iterative methods; X-ray fluorescence tomography; XFCT; computed tomography; generalized attenuated radon transform inversion; iterative reconstruction; iterative refinement; radon inversion; Approximation algorithms; Approximation methods; Attenuation; Detectors; Iterative methods; Tomography; Transforms; Alternate methods; X-ray fluorescence computed tomography (XFCT); generalized radon transform; inversion; iterative methods; Algorithms; Image Processing, Computer-Assisted; Models, Theoretical; Phantoms, Imaging; Spectrometry, X-Ray Emission; Tomography, X-Ray;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/TMI.2010.2085011

Filename

5597948