A new approach to the emission computerized tomography problem: simultaneous calculation of attenuation and activity coefficients

Y. Censor; D. E. Gustafson; A. Lent; H. Tuy

doi:10.1109/TNS.1979.4330535

A new approach to the emission computerized tomography problem: simultaneous calculation of attenuation and activity coefficients

Y. Censor, D. E. Gustafson, A. Lent, H. Tuy

Research output: Contribution to journal › Article › peer-review

Abstract

In order to obtain truly quantitative reconstruction of gamma-emitter concentration in Emission Computerized Tomography (ECT) the attenuation within the region of interest has to be accounted for. In this report we propose to calculate simultaneously attenuation and activity concentration coefficients. Starting from the system of non-linear equations which describes the model of single photon gamma-ray emission in a discretized form we show how to reduce it to a mixed convex-concave feasibility problem and apply to it our method of Cyclic Subgradient Projections (CSP). This approach is discussed and some experimental results in its favor are presented.

Original language	English
Pages (from-to)	2775-2779
Number of pages	5
Journal	IEEE Transactions on Nuclear Science
Volume	26
Issue number	2
DOIs	https://doi.org/10.1109/TNS.1979.4330535
State	Published - Apr 1979
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics
Nuclear Energy and Engineering
Electrical and Electronic Engineering

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10.1109/TNS.1979.4330535

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abstract = "In order to obtain truly quantitative reconstruction of gamma-emitter concentration in Emission Computerized Tomography (ECT) the attenuation within the region of interest has to be accounted for. In this report we propose to calculate simultaneously attenuation and activity concentration coefficients. Starting from the system of non-linear equations which describes the model of single photon gamma-ray emission in a discretized form we show how to reduce it to a mixed convex-concave feasibility problem and apply to it our method of Cyclic Subgradient Projections (CSP). This approach is discussed and some experimental results in its favor are presented.",

author = "Y. Censor and Gustafson, {D. E.} and A. Lent and H. Tuy",

year = "1979",

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AU - Tuy, H.

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AB - In order to obtain truly quantitative reconstruction of gamma-emitter concentration in Emission Computerized Tomography (ECT) the attenuation within the region of interest has to be accounted for. In this report we propose to calculate simultaneously attenuation and activity concentration coefficients. Starting from the system of non-linear equations which describes the model of single photon gamma-ray emission in a discretized form we show how to reduce it to a mixed convex-concave feasibility problem and apply to it our method of Cyclic Subgradient Projections (CSP). This approach is discussed and some experimental results in its favor are presented.

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A new approach to the emission computerized tomography problem: simultaneous calculation of attenuation and activity coefficients

Abstract

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