Abstract
Few-view X-ray tomography is a typical representative of the class of ill posed problems. A practical solution to this problem will expand the scope of the X-ray tomography method. The problem of few-view X-ray tomography is often a problem with a shortage of initial data and can be solved only with the involvement of a priori information. The methods of iterative reconstruction of tomographic images are most suitable for introducing the necessary additional information into a numerical algorithm. This paper describes one of the approaches to introducing this kind of information.
REFERENCES
Gabor T. Herman, Fundamentals of Computerized Tomography. Image Reconstruction from Projections, London: Springer, 2009.
Radon, J., Über die Bestimmung von Funktionen durch ihre Integralwerte langs gewisser Mannigfaltigkeiten, Ber. Verb. Saechs. Akad. Wiss., Leipzig, Math. Phys. Kl., 1917, no. 69, pp. 262–277.
Tikhonov, A.N., Arsenin, V.Ya., and Timonov, A.A., Matematicheskie zadachi komp’uternoi tomografii (Mathematical Problems of Computed Tomography), Moscow: Fizmatlit, 1987.
Smith Bruce D., Cone-beam tomography: Recent advances and a tutorial review, Opt. Eng., 1990, vol. 29, no. 5, pp. 524–534.
Reimers, P. and Goebbels, J., History of computerized tomography at BAM, Int. Symp. Comput. Tomogr. Ind. Appl. (Berlin, 1994), pp. 13–22.
Vengrinovich, V.L. and Zolotarev, S.A., Iteratsionnye metody tomografii (Iterative Tomography Methods), Minsk: Belorus. Nauka, 2009.
Denkevich, Yu.B., Reconstruction of images and properties of objects by solving inverse problems of few-view X-ray tomography and magneto-noise structroscopy, Cand. Sci. Eng. Dissertation, Minsk: IPF, Natl. Acad. Sci. Belarus, 2000.
Gordon, R., Bender, R., and Herman, G.T., Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography, J. Theor. Biol., 1970, no. 29, pp. 471–481.
Krammer, J., Zolotarev, S.A., and Hillman, I., Evaluation of a new image reconstruction method for digital breast tomosynthesis: Effects on the visibility of breast lesions and breast density, Br. J. Radiol., 2019, vol. 92, no. 1103. https://doi.org/10.1259/bjr.20190345
Zolotarev, S.A., Vengrinovich, V.L., and Smagin, S.I., Iterative tomography of pipes during operation, Proc. Natl. Acad. Sci. Belarus. Phys. Tech. Ser., 2021, vol. 66, no. 4, pp. 505–512.
Zolotarev, S.A., Savenya, P.S., Zhukov, K.A., and Sednina, M.A., Method of nondestructive testing of wall thickness and internal defects of metal pipe, Sist. Anal. Prikl. Inf., 2020, no. 3, pp. 28–33.
Zolotarev, S.A., Taruat, A.T., and Bilenko, E.G., Assessment of the effect of noise level on the accuracy of reconstruction of the image of an industrial product, Sist. Anal. Prikl. Inf., 2022, no. 4, pp. 38–44.
Funding
This work was supported by regular institutional funding, and no additional grants were obtained.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
The authors declare that they have no conflicts of interest.
Rights and permissions
About this article
Cite this article
Zolotarev, S.A., Taruat, A.T. & Bilenko, E.G. Iterative Reconstruction of Aluminum Casting Images Taking into Account Prior Information. Russ J Nondestruct Test 59, 468–476 (2023). https://doi.org/10.1134/S106183092370033X
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S106183092370033X