Analytic image reconstruction in PVI using the 3D Radon transform

Author

Stazyk, M.W. ; Rogers, J.G.

Author_Institution

TRIUMF, Vancouver, BC, Canada

Volume

39

Issue

4

fYear

1992

fDate

8/1/1992 12:00:00 AM

Firstpage

1153

Lastpage

1160

Abstract

Algorithms are presented for three-dimensional image reconstruction in positron volume imaging (PVI) using the inversion of the three-dimensional Radon transform (RT). The RT is formed by histogramming events into the planes in which they lie rather than along lines as in the X-ray transform (XT). The authors show the transformation between the RT and the XT, and using this relationship they describe a fast backprojection method for the RT in which the computation time was found to be up to 20 times faster by using the new algorithm. Monte Carlo simulations showed that statistical noise levels in images reconstructed from complete projections with the RT algorithm were comparable to those obtained using the Fourier transform inversion of the XT

Keywords

Fourier transforms; Monte Carlo methods; image reconstruction; physics computing; transforms; 3D Radon transform; Fourier transform; Monte Carlo simulations; PVI; X-ray transform; computation time; fast backprojection method; histogramming; image reconstruction; positron volume imaging; statistical noise levels; three-dimensional; Detectors; Fourier transforms; Histograms; Image analysis; Image reconstruction; Marine vehicles; Noise level; Optical imaging; Positrons; X-ray imaging;

fLanguage

English

Journal_Title

Nuclear Science, IEEE Transactions on

Publisher

ieee

ISSN

0018-9499

Type

jour

DOI

10.1109/23.159775

Filename

159775