Catalogo Articoli (Spogli Riviste)

OPAC HELP

Titolo:
A new model and reconstruction method for 2D PET based on transforming detector tube data into detector arc data
Autore:
Carroll, RB; Mair, BA;
Indirizzi:
Royal Bank, Risk Management Trading, Toronto, ON, Canada Royal Bank Toronto ON Canada isk Management Trading, Toronto, ON, Canada Univ Florida, Dept Math, Gainesville, FL 32611 USA Univ Florida Gainesville FL USA 32611 ept Math, Gainesville, FL 32611 USA
Titolo Testata:
JOURNAL OF MATHEMATICAL IMAGING AND VISION
fascicolo: 2, volume: 14, anno: 2001,
pagine: 165 - 185
SICI:
0924-9907(2001)14:2<165:ANMARM>2.0.ZU;2-F
Fonte:
ISI
Lingua:
ENG
Soggetto:
POSITRON EMISSION TOMOGRAPHY; IMAGE-RECONSTRUCTION; ITERATIVE RECONSTRUCTION; ALGORITHMS; SCANNER; MAXIMUM;
Keywords:
positron emission tomography; PET; image reconstruction; mathematical model;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
33
Recensione:
Indirizzi per estratti:
Indirizzo: Carroll, RB Royal Bank, Risk Management Trading, Toronto, ON, Canada RoyalBank Toronto ON Canada nt Trading, Toronto, ON, Canada
Citazione:
R.B. Carroll e B.A. Mair, "A new model and reconstruction method for 2D PET based on transforming detector tube data into detector arc data", J MATH IM V, 14(2), 2001, pp. 165-185

Abstract

The popular Radon transform approximation used in the modeling and reconstruction of positron emission tomography (PET) images fails to account for the non-trivial size of PET detectors. Currently, all reconstruction algorithms which account for detector width are based on the iterative EMML (expectation maximization maximum likelihood) method which uses computational approximations of the true point spread function. Starting with the angle-of-view model for the point spread function, a new integral equation model is obtained by applying a simple linear transformation to the emission sinogramwhich produces detections in arcs of various widths, instead of the usual detector tubes. In this paper, an exact mathematical representation for thenew point spread function is obtained in terms of line integrals involvingthe Green's function and Poisson kernel for the unit disk. By applying appropriate mathematical transforms, this representation leads to a method forreconstructing two dimensional PET images in terms of an orthogonal basis consisting of tensor products of classical harmonics and Bessel functions. The paper contains details of the mathematical derivation of the representation for the point spread function, and the resulting reconstruction technique. It also contains numerical results which indicate that this new methodproduces images which are comparable (and sometimes superior) in quality to the EMML method, with a reconstruction speed which is similar that of thefiltered back projection method.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 22/01/20 alle ore 12:37:08