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Application of Nonuniform Fourier Transform to Solving Ultrasonic Tomography Problems with Antenna Arrays

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Abstract

In ultrasonic tomography that employs the technique of digital focusing with an antenna (DFA), the problem of increasing the inspection performance is inextricably linked with the problem of increasing the speed of producing synthesized images. This problem can be effectively solved by concurrently using several approaches aimed at increasing the image production speed. In the framework of this paper, we consider the algorithm of nonuniform fast Fourier transform (NUFFT). The NUFFT can be used in the existing computationally efficient spatiotemporal processing algorithms with calculations in the frequency domain and is capable of correctly reconstructing synthesized images with sparse and non-uniform antenna arrays (AAs). The experimental data obtained indicate the ability of the NUFFT-based algorithm to restore synthesized images with high resolution.

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Funding

The research was carried out with financial support from the State Assignment “Science,” project no. FSWW-2020-0014, as well as the Competitiveness Enhancement Program of the National Research Tomsk Polytechnic University, project no. VIU-MNOL NK-187/2020.

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Authors and Affiliations

  1. National Research Tomsk Polytechnic University, 634040, Tomsk, Russia

    D. O. Dolmatov, N. I. Ermoshin, D. A. Koneva & D. A. Sednev

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  1. D. O. Dolmatov
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  2. N. I. Ermoshin
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  3. D. A. Koneva
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  4. D. A. Sednev
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Corresponding authors

Correspondence to D. O. Dolmatov, N. I. Ermoshin, D. A. Koneva or D. A. Sednev.

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Translated by V. Potapchouck

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Dolmatov, D.O., Ermoshin, N.I., Koneva, D.A. et al. Application of Nonuniform Fourier Transform to Solving Ultrasonic Tomography Problems with Antenna Arrays. Russ J Nondestruct Test 56, 603–610 (2020). https://doi.org/10.1134/S1061830920080021

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  • DOI: https://doi.org/10.1134/S1061830920080021

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