---
_id: '18382'
abstract:
- lang: eng
  text: Detection of high-energy photons emitted as the result of positron decay is
    one of the most important low-level stages in PET imaging. In this paper we consider
    a detector based on the Anger scintillation camera. Incident high-energy gamma
    quanta, generated due to positron decay, produce scintillation effect in the crystal.
    As a result, a shower of low energy photons in the visible and UV spectra is emitted.
    These photons are collected by an array of photo-multipliers (PMTs), optically
    coupled to the scintillation crystal, and invoke electric impulses in them. The
    PMT responses are utilized in estimation of the scintillation point coordinates.
    Our work incorporates side information on the photon incidence angle into the
    process of position estimation. We use localized, asymptotically optimal, nonlinear
    estimators, implemented by feedforward and radial basis function (RBF) neural
    networks. As a byproduct, we get accurate position estimation over the entire
    area of the detector including the edges. This is difficult to obtain with centroid
    arithmetic algorithms. We present a comparison of algorithms on a Monte Carlo
    simulation and discuss the prospects for practical implementation.
article_processing_charge: No
author:
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: M.M.
  full_name: Bronstein, M.M.
  last_name: Bronstein
- first_name: M.
  full_name: Zibulevsky, M.
  last_name: Zibulevsky
- first_name: Y.Y.
  full_name: Zeevi, Y.Y.
  last_name: Zeevi
citation:
  ama: 'Bronstein AM, Bronstein MM, Zibulevsky M, Zeevi YY. Optimal non-linear line-of-flight
    estimation in positron emission tomography. In: <i>The 22nd Convention on Electrical
    and Electronics Engineers in Israel</i>. Vol 2002-January. IEEE; 2002:341-344.
    doi:<a href="https://doi.org/10.1109/eeei.2002.1178493">10.1109/eeei.2002.1178493</a>'
  apa: 'Bronstein, A. M., Bronstein, M. M., Zibulevsky, M., &#38; Zeevi, Y. Y. (2002).
    Optimal non-linear line-of-flight estimation in positron emission tomography.
    In <i>The 22nd Convention on Electrical and Electronics Engineers in Israel</i>
    (Vol. 2002–January, pp. 341–344). Tel-Aviv, Israel: IEEE. <a href="https://doi.org/10.1109/eeei.2002.1178493">https://doi.org/10.1109/eeei.2002.1178493</a>'
  chicago: Bronstein, Alex M., M.M. Bronstein, M. Zibulevsky, and Y.Y. Zeevi. “Optimal
    Non-Linear Line-of-Flight Estimation in Positron Emission Tomography.” In <i>The
    22nd Convention on Electrical and Electronics Engineers in Israel</i>, 2002–January:341–44.
    IEEE, 2002. <a href="https://doi.org/10.1109/eeei.2002.1178493">https://doi.org/10.1109/eeei.2002.1178493</a>.
  ieee: A. M. Bronstein, M. M. Bronstein, M. Zibulevsky, and Y. Y. Zeevi, “Optimal
    non-linear line-of-flight estimation in positron emission tomography,” in <i>The
    22nd Convention on Electrical and Electronics Engineers in Israel</i>, Tel-Aviv,
    Israel, 2002, vol. 2002–January, pp. 341–344.
  ista: Bronstein AM, Bronstein MM, Zibulevsky M, Zeevi YY. 2002. Optimal non-linear
    line-of-flight estimation in positron emission tomography. The 22nd Convention
    on Electrical and Electronics Engineers in Israel. Convention on Electrical and
    Electronics Engineers vol. 2002–January, 341–344.
  mla: Bronstein, Alex M., et al. “Optimal Non-Linear Line-of-Flight Estimation in
    Positron Emission Tomography.” <i>The 22nd Convention on Electrical and Electronics
    Engineers in Israel</i>, vol. 2002–January, IEEE, 2002, pp. 341–44, doi:<a href="https://doi.org/10.1109/eeei.2002.1178493">10.1109/eeei.2002.1178493</a>.
  short: A.M. Bronstein, M.M. Bronstein, M. Zibulevsky, Y.Y. Zeevi, in:, The 22nd
    Convention on Electrical and Electronics Engineers in Israel, IEEE, 2002, pp.
    341–344.
conference:
  end_date: 2002-12-01
  location: Tel-Aviv, Israel
  name: Convention on Electrical and Electronics Engineers
  start_date: 2002-12-01
date_created: 2024-10-15T11:20:54Z
date_published: 2002-12-01T00:00:00Z
date_updated: 2024-11-12T08:08:44Z
day: '01'
doi: 10.1109/eeei.2002.1178493
extern: '1'
fulldoi: https://doi.org/10.1109/eeei.2002.1178493
language:
- iso: eng
month: '12'
oa_version: None
page: 341-344
publication: The 22nd Convention on Electrical and Electronics Engineers in Israel
publication_identifier:
  isbn:
  - '0780376935'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal non-linear line-of-flight estimation in positron emission tomography
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2002-January
year: '2002'
...
---
_id: '18383'
article_processing_charge: No
author:
- first_name: M.M.
  full_name: Bronstein, M.M.
  last_name: Bronstein
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: M.
  full_name: Zibulevsky, M.
  last_name: Zibulevsky
- first_name: H.
  full_name: Azhari, H.
  last_name: Azhari
citation:
  ama: 'Bronstein MM, Bronstein AM, Zibulevsky M, Azhari H. Application of the NUFFT
    for reconstruction problems in diffraction tomography. In: <i>The 22nd Convention
    on Electrical and Electronics Engineers in Israel</i>. Vol 2002-January. IEEE;
    2002:345-347. doi:<a href="https://doi.org/10.1109/eeei.2002.1178495">10.1109/eeei.2002.1178495</a>'
  apa: 'Bronstein, M. M., Bronstein, A. M., Zibulevsky, M., &#38; Azhari, H. (2002).
    Application of the NUFFT for reconstruction problems in diffraction tomography.
    In <i>The 22nd Convention on Electrical and Electronics Engineers in Israel</i>
    (Vol. 2002–January, pp. 345–347). Tel-Aviv, Israel: IEEE. <a href="https://doi.org/10.1109/eeei.2002.1178495">https://doi.org/10.1109/eeei.2002.1178495</a>'
  chicago: Bronstein, M.M., Alex M. Bronstein, M. Zibulevsky, and H. Azhari. “Application
    of the NUFFT for Reconstruction Problems in Diffraction Tomography.” In <i>The
    22nd Convention on Electrical and Electronics Engineers in Israel</i>, 2002–January:345–47.
    IEEE, 2002. <a href="https://doi.org/10.1109/eeei.2002.1178495">https://doi.org/10.1109/eeei.2002.1178495</a>.
  ieee: M. M. Bronstein, A. M. Bronstein, M. Zibulevsky, and H. Azhari, “Application
    of the NUFFT for reconstruction problems in diffraction tomography,” in <i>The
    22nd Convention on Electrical and Electronics Engineers in Israel</i>, Tel-Aviv,
    Israel, 2002, vol. 2002–January, pp. 345–347.
  ista: Bronstein MM, Bronstein AM, Zibulevsky M, Azhari H. 2002. Application of the
    NUFFT for reconstruction problems in diffraction tomography. The 22nd Convention
    on Electrical and Electronics Engineers in Israel. Convention on Electrical and
    Electronics Engineers vol. 2002–January, 345–347.
  mla: Bronstein, M. M., et al. “Application of the NUFFT for Reconstruction Problems
    in Diffraction Tomography.” <i>The 22nd Convention on Electrical and Electronics
    Engineers in Israel</i>, vol. 2002–January, IEEE, 2002, pp. 345–47, doi:<a href="https://doi.org/10.1109/eeei.2002.1178495">10.1109/eeei.2002.1178495</a>.
  short: M.M. Bronstein, A.M. Bronstein, M. Zibulevsky, H. Azhari, in:, The 22nd Convention
    on Electrical and Electronics Engineers in Israel, IEEE, 2002, pp. 345–347.
conference:
  end_date: 2002-12-01
  location: Tel-Aviv, Israel
  name: Convention on Electrical and Electronics Engineers
  start_date: 2002-12-01
date_created: 2024-10-15T11:20:54Z
date_published: 2002-12-01T00:00:00Z
date_updated: 2024-11-12T07:51:57Z
day: '01'
doi: 10.1109/eeei.2002.1178495
extern: '1'
fulldoi: https://doi.org/10.1109/eeei.2002.1178495
language:
- iso: eng
month: '12'
oa_version: None
page: 345-347
publication: The 22nd Convention on Electrical and Electronics Engineers in Israel
publication_identifier:
  isbn:
  - '0780376935'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Application of the NUFFT for reconstruction problems in diffraction tomography
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2002-January
year: '2002'
...