Extrapolation of Tomographic Images Based on Data of Multiple Pulsed Probing

I. P. Yarovenko, P. A. Vornovskikh, I. V. Prokhorov
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引用次数: 0

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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来源期刊
Journal of Applied and Industrial Mathematics
Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering
CiteScore
1.00
自引率
0.00%
发文量
16
期刊介绍: Journal of Applied and Industrial Mathematics  is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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