3D TOF-PET image reconstruction using total variation regularization.

Medical imaging Positron emission tomography Time-of-flight Total variation regularization

Journal

Physica medica : PM : an international journal devoted to the applications of physics to medicine and biology : official journal of the Italian Association of Biomedical Physics (AIFB)
ISSN: 1724-191X
Titre abrégé: Phys Med
Pays: Italy
ID NLM: 9302888

Informations de publication

Date de publication:
Dec 2020
Historique:
received: 02 04 2020
revised: 09 10 2020
accepted: 14 10 2020
pubmed: 16 11 2020
medline: 22 6 2021
entrez: 15 11 2020
Statut: ppublish

Résumé

In this paper we introduce a semi-analytic algorithm for 3-dimensional image reconstruction for positron emission tomography (PET). The method consists of the back-projection of the acquired data into the most likely image voxel according to time-of-flight (TOF) information, followed by the filtering step in the image space using an iterative optimization algorithm with a total variation (TV) regularization. TV regularization in image space is more computationally efficient than usual iterative optimization methods for PET reconstruction with full system matrix that use TV regularization. The efficiency comes from the one-time TOF back-projection step that might also be described as a reformatting of the acquired data. An important aspect of our work concerns the evaluation of the filter operator of the linear transform mapping an original radioactive tracer distribution into the TOF back-projected image. We obtain concise, closed-form analytical formula for the filter operator. The proposed method is validated with the Monte Carlo simulations of the NEMA IEC phantom using a one-layer, 50 cm-long cylindrical device called Jagiellonian PET scanner. The results show a better image quality compared with the reference TOF maximum likelihood expectation maximization algorithm.

Identifiants

pubmed: 33190079
pii: S1120-1797(20)30254-4
doi: 10.1016/j.ejmp.2020.10.011
pii:
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

230-242

Informations de copyright

Copyright © 2020 Associazione Italiana di Fisica Medica. Published by Elsevier Ltd. All rights reserved.

Auteurs

L Raczyński (L)

Department of Complex Systems, National Centre for Nuclear Research, 05-400 Otwock-Świerk, Poland. Electronic address: lech.raczynski@ncbj.gov.pl.

W Wiślicki (W)

Department of Complex Systems, National Centre for Nuclear Research, 05-400 Otwock-Świerk, Poland.

K Klimaszewski (K)

Department of Complex Systems, National Centre for Nuclear Research, 05-400 Otwock-Świerk, Poland.

W Krzemień (W)

High Energy Physics Division, National Centre for Nuclear Research, 05-400 Otwock-Świerk, Poland.

P Kopka (P)

Department of Complex Systems, National Centre for Nuclear Research, 05-400 Otwock-Świerk, Poland.

P Kowalski (P)

Department of Complex Systems, National Centre for Nuclear Research, 05-400 Otwock-Świerk, Poland.

R Y Shopa (RY)

Department of Complex Systems, National Centre for Nuclear Research, 05-400 Otwock-Świerk, Poland.

M Bała (M)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

J Chhokar (J)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

C Curceanu (C)

INFN, Laboratori Nazionali di Frascati, 00044 Frascati, Italy.

E Czerwiński (E)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

K Dulski (K)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

J Gajewski (J)

Institute of Nuclear Physics PAN, Cracow, Poland.

A Gajos (A)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

M Gorgol (M)

Institute of Physics, Maria Curie-Skłodowska University, 20-031 Lublin, Poland.

R Del Grande (R)

Institute of Physics, Maria Curie-Skłodowska University, 20-031 Lublin, Poland.

B Hiesmayr (B)

Faculty of Physics, University of Vienna, 1090 Vienna, Austria.

B Jasińska (B)

Institute of Physics, Maria Curie-Skłodowska University, 20-031 Lublin, Poland.

K Kacprzak (K)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

L Kapłon (L)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

D Kisielewska (D)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

G Korcyl (G)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

T Kozik (T)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

N Krawczyk (N)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

E Kubicz (E)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

M Mohammed (M)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland; Department of Physics, College of Education for Pure Sciences, University of Mosul, Mosul, Iraq.

S Z Niedźwiecki (SZ)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

M Pałka (M)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

M Pawlik-Niedźwiecka (M)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

J Raj (J)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

K Rakoczy (K)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

A Ruciński (A)

Institute of Nuclear Physics PAN, Cracow, Poland.

S Sharma (S)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

S Shivani (S)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

M Silarski (M)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

M Skurzok (M)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland; INFN, Laboratori Nazionali di Frascati, 00044 Frascati, Italy.

E L Stepień (EL)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

B Zgardzińska (B)

Institute of Physics, Maria Curie-Skłodowska University, 20-031 Lublin, Poland.

P Moskal (P)

Marian Smoluchowski Institute of Physics, Jagiellonian University, 31-348 Cracow, Poland.

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Classifications MeSH