Emission discrete tomography

E. Barcucci, A. Frosini, A. Kuba, A. Nagy, S. Rinaldi, M. Šámal, S. Zopf

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Three problems of emission discrete tomography (EDT) are presented. The first problem is the reconstruction of measurable plane sets from two absorbed projections. It is shown that Lorentz theorems can be generalized to this case. The second is the reconstruction of binary matrices from their absorbed row and columns sums if the absorption coefficient is μ0 = log((1+v/5)/2). It is proved that the reconstruction in this case can be done in polynomial time. Finally, a possible application of EDT in single photon emission computed tomography (SPECT) is presented: Dynamic structures are reconstructed after factor analysis.

Original languageEnglish
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherSpringer International Publishing
Pages333-366
Number of pages34
Edition9780817636142
DOIs
Publication statusPublished - Jan 1 2007

Publication series

NameApplied and Numerical Harmonic Analysis
Number9780817636142
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017

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Keywords

  • Binary matrix
  • Generalize projection
  • Renal pelvis
  • Single photon emission compute tomography
  • Vertical projection

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Barcucci, E., Frosini, A., Kuba, A., Nagy, A., Rinaldi, S., Šámal, M., & Zopf, S. (2007). Emission discrete tomography. In Applied and Numerical Harmonic Analysis (9780817636142 ed., pp. 333-366). (Applied and Numerical Harmonic Analysis; No. 9780817636142). Springer International Publishing. https://doi.org/10.1007/978-0-8176-4543-4_15