Экстраполяция томографических изображений по данным многократного импульсного зондирования

Экстраполяция томографических изображений по данным многократного импульсного зондирования

Яровенко И. П., Ворновских П. А., Прохоров И. В.
Сибирский журнал индустриальной математики, 27, 3(99), 177–195 (2024)
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УДК 517.958 
DOI: 10.33048/SIBJIM.2024.27.313

Аннотация:

В рамках математической модели, основанной на интегро-дифференциальном уравнении переноса излучения, предложен новый экстраполяционный подход к проблеме повышения качества томографических изображений путём серийного облучения среды импульсами различной длительности. Результаты численного моделирования на цифровом тестовом фантоме продемонстрировали высокую эффективность алгоритма для подавления паразитного влияния рассеянного излучения и повышения контрастности изображений.

Литература:
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Исследование выполнено при финансовой поддержке Российского научного фонда (проект № 23-21-00378; https://rscf.ru/project/23-21-00378/).

И. П. Яровенко
  1. Институт прикладной математики ДВО РАН, 
    ул. Радио, 7, г. Владивосток 690041, Россия

E-mail: yarovenko@iam.dvo.ru

П. А. Ворновских
  1. Институт прикладной математики ДВО РАН, 
    ул. Радио, 7, г. Владивосток 690041, Россия

E-mail: vornovskikh_pa@dvfu.ru

И. В. Прохоров
  1. Институт прикладной математики ДВО РАН, 
    ул. Радио, 7, г. Владивосток 690041, Россия

E-mail: prokhorov@iam.dvo.ru

Статья поступила 14.01.2024 г.
После доработки — 02.05.2024 г.
Принята к публикации 22.05.2024 г.

Abstract:

This paper proposes a new approach to improving image quality in pulsed X-ray tomography. The method is based on establishing a functional dependence of the reconstructed images on the duration of the probing pulses and applying an extrapolation procedure. The numerical experiments demonstrated that the developed algorithm effectively suppresses the influence of scattered radiation and significantly increases image contrast. The proposed alternative approach allows substantially increasing the stability of the method even for media containing strong scattering inhomogeneities and with a significant level of noise in the projection data. In addition, the algorithm has greater stability to errors in the source data caused by an increase in the duration of the probing pulses. The numerical experiments confirmed the high efficiency of the extrapolation tomography algorithm for recovering the internal structure of the test object.

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