Analytic image reconstruction in PVI using the 3D Radon transform

Author

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

Author_Institution

TRIUMF, Vancouver, BC, Canada

fYear

1991

fDate

2-9 Nov. 1991

Firstpage

2094

Abstract

Algorithms have been derived for 3-D image reconstruction in positron volume imaging (PVI) using the inversion of the 3-D Radon transform (RT) for a truncated cylindrical detector geometry. The RT is formed by histogramming events according to the planes in which they lie, with a weight determined by an angular acceptance function. A fast backprojection method for the RT is described in which the computation time is found to be up to 20 times faster with the new algorithm compared to the traditional X-ray transform (XT) backprojection method. Monte Carlo simulations show that statistical noise levels in images reconstructed from complete projections with the new RT algorithm are comparable to those obtained using the Fourier transform inversion of the XT.<>

Keywords

computerised tomography; image reconstruction; radioisotope scanning and imaging; 3D Radon transform; Fourier transform inversion; Monte Carlo simulations; analytic image reconstruction; angular acceptance function; events histogramming; fast backprojection method; medical diagnostic imaging; nuclear medicine; positron volume imaging; reconstruction algorithms; statistical noise levels; truncated cylindrical detector geometry; Detectors; Fourier transforms; Geometry; Histograms; Image analysis; Image reconstruction; Laplace equations; Noise level; Physics computing; Positrons;

fLanguage

English

Publisher

ieee

Conference_Titel

Nuclear Science Symposium and Medical Imaging Conference, 1991., Conference Record of the 1991 IEEE

Conference_Location

Santa Fe, NM, USA

Print_ISBN

0-7803-0513-2

Type

conf

DOI

10.1109/NSSMIC.1991.259284

Filename

259284