USE OF THE CAVALIERI CONDITIONS IN REGION-OF-INTEREST TOMOGRAPHY
A. V. Likhachov
Institute of Automation and Electrometry, Siberian Branch of Russian Academy of Sciences, pr. Akademika Koptyuga 1, Novosibirsk, 630090 Russia
Keywords: ROI-томография, условие Кавальери, пополнение проекционных данных, Region-of-interest tomography, Cavalieri condition, projection data replenishment
Abstract
A new method based on the Cavalieri condition for the Radon transform is developed to solve a problem of ROI tomography. This condition is used to construct a system of linear algebraic equations to estimate unknown projection data. Computational experiment has shown that the proposed method significantly improves the reconstruction accuracy, weakens artifacts, and provides an estimate of the internal structure of the object outside the region of interest.
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