Open AccessComputed tomography imaging using a short pulse source with angular discontinuity
Author(s) -
И. В. Прохоров,
I. P. Yarovenko
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1715/1/012043
Subject(s) - discontinuity (linguistics) , inverse problem , attenuation , imaging phantom , attenuation coefficient , uniqueness , mathematical analysis , inverse scattering problem , mathematics , radiation , tomography , point source , physics , optics
This paper deals with an inverse problem that consists of the attenuation coefficient identification for the non-stationary radiation transfer equation. To solve the problem, we propose to use a pulsed radiation source with an angular discontinuity. We show that the solution to the radiation transfer equation is the sum of a discontinuous ballistic component and a continuous scattered one.The representation, allows us to obtain a formula for finding the attenuation coefficient. The uniqueness theorem for the solution of the inverse problem has been proved. Numerical experiments on a digital phantom show that the method proposed improves the reconstruction quality.