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Geometrical Similarities of the Orlov and Tuy Sampling Criteria and a Numerical Algorithm for Assessing Sampling Completeness

Publication ,  Journal Article
Metzler, SD; Bowsher, JE; Jaszczak, RJ
Published in: IEEE Transactions on Nuclear Science
October 1, 2003

Tuy and others have derived a sufficiency condition for complete sampling using a cone-beam geometry. Herein, we express Tuy's cone-beam condition in the language and geometry of Orlov's condition for parallel-beam collimation. One may determine from this condition what volume is completely sampled. This inversion has been implemented in software. The software determines a lower bound on the completely sampled volume for arbitrary orbits.

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Published In

IEEE Transactions on Nuclear Science

DOI

ISSN

0018-9499

Publication Date

October 1, 2003

Volume

50

Issue

5 II

Start / End Page

1550 / 1555

Related Subject Headings

  • Nuclear & Particles Physics
  • 5106 Nuclear and plasma physics
  • 0903 Biomedical Engineering
  • 0299 Other Physical Sciences
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
 

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Metzler, S. D., Bowsher, J. E., & Jaszczak, R. J. (2003). Geometrical Similarities of the Orlov and Tuy Sampling Criteria and a Numerical Algorithm for Assessing Sampling Completeness. IEEE Transactions on Nuclear Science, 50(5 II), 1550–1555. https://doi.org/10.1109/TNS.2003.817385
Metzler, S. D., J. E. Bowsher, and R. J. Jaszczak. “Geometrical Similarities of the Orlov and Tuy Sampling Criteria and a Numerical Algorithm for Assessing Sampling Completeness.” IEEE Transactions on Nuclear Science 50, no. 5 II (October 1, 2003): 1550–55. https://doi.org/10.1109/TNS.2003.817385.
Metzler SD, Bowsher JE, Jaszczak RJ. Geometrical Similarities of the Orlov and Tuy Sampling Criteria and a Numerical Algorithm for Assessing Sampling Completeness. IEEE Transactions on Nuclear Science. 2003 Oct 1;50(5 II):1550–5.
Metzler, S. D., et al. “Geometrical Similarities of the Orlov and Tuy Sampling Criteria and a Numerical Algorithm for Assessing Sampling Completeness.” IEEE Transactions on Nuclear Science, vol. 50, no. 5 II, Oct. 2003, pp. 1550–55. Scopus, doi:10.1109/TNS.2003.817385.
Metzler SD, Bowsher JE, Jaszczak RJ. Geometrical Similarities of the Orlov and Tuy Sampling Criteria and a Numerical Algorithm for Assessing Sampling Completeness. IEEE Transactions on Nuclear Science. 2003 Oct 1;50(5 II):1550–1555.

Published In

IEEE Transactions on Nuclear Science

DOI

ISSN

0018-9499

Publication Date

October 1, 2003

Volume

50

Issue

5 II

Start / End Page

1550 / 1555

Related Subject Headings

  • Nuclear & Particles Physics
  • 5106 Nuclear and plasma physics
  • 0903 Biomedical Engineering
  • 0299 Other Physical Sciences
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics