Iteration algorithm to correct absorption in PET

Iteration algorithm to correct absorption in PET

One of the difficulties arising in PET is attenuation of emission projection data. The most difficult situation arises in the cases in which no information as to the distribution of the absorption coefficient is available. It is this case that is considered in the present paper. A new approach to th...

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Veröffentlicht in:IEEE transactions on nuclear science 2001-02, Vol.48 (1), p.82-88
Hauptverfasser: Pickalov, V.V., Likhachov, A.V.
Format: Artikel
Sprache:eng
Schlagworte:
Absorption
Algorithms
Approximation theory
Attenuation
Computer simulation
Emission
Energy absorption
Equations
Humans
Iterative methods
Mathematical models
Medical diagnosis
Numerical simulation
Operators
Plasma applications
Plasma diagnostics
Positron emission
Positron emission tomography
Projection
Single photon emission computed tomography
Statistical methods
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Beschreibung
Zusammenfassung:One of the difficulties arising in PET is attenuation of emission projection data. The most difficult situation arises in the cases in which no information as to the distribution of the absorption coefficient is available. It is this case that is considered in the present paper. A new approach to the problem is proposed. Its main idea consists in that the measurement data, as soon as they all belong to one object, are bound to be self-consistent. The whole set of projection data is considered as an invariant function of the operator PR/sup -1,/ where R/sup -1/ is an algorithm solving the emission tomography problem and P is the projecting operator. An iteration algorithm that permits reconstruction of emission projection data is developed. Numerical simulations are carried out.
ISSN:0018-9499
1558-1578
DOI:10.1109/23.910836