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Article

Inverse Multiscale Discrete Radon Transform by Filtered Backprojection

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Industrial Engineering Department, Universidad de La Laguna, ESIT, 38200 La Laguna, Spain
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Wooptix S.L., Avenida Trinidad, 61, 38204 La Laguna, Spain
*
Author to whom correspondence should be addressed.
Appl. Sci. 2021, 11(1), 22; https://doi.org/10.3390/app11010022
Received: 12 November 2020 / Revised: 16 December 2020 / Accepted: 19 December 2020 / Published: 22 December 2020
(This article belongs to the Special Issue Imaging with Electromagnetic Waves: Principles and Applications)
The Radon transform is a valuable tool in inverse problems such as the ones present in electromagnetic imaging. Up to now the inversion of the multiscale discrete Radon transform has been only possible by iterative numerical methods while the continuous Radon transform is usually tackled with the filtered backprojection approach. In this study, we will show, for the first time, that the multiscale discrete version of Radon transform can as well be inverted with filtered backprojection, and by doing so, we will achieve the fastest implementation until now of bidimensional discrete Radon inversion. Moreover, the proposed method allows the sacrifice of accuracy for further acceleration. It is a well-conditioned inversion that exhibits a resistance against noise similar to that of iterative methods. View Full-Text
Keywords: inverse radon transform; discrete radon transform; filtered backprojection; EM imaging inverse radon transform; discrete radon transform; filtered backprojection; EM imaging
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MDPI and ACS Style

Marichal-Hernández, J.G.; Oliva-García, R.; Gómez-Cárdenes, Ó.; Rodríguez-Méndez, I.; Rodríguez-Ramos, J.M. Inverse Multiscale Discrete Radon Transform by Filtered Backprojection. Appl. Sci. 2021, 11, 22. https://doi.org/10.3390/app11010022

AMA Style

Marichal-Hernández JG, Oliva-García R, Gómez-Cárdenes Ó, Rodríguez-Méndez I, Rodríguez-Ramos JM. Inverse Multiscale Discrete Radon Transform by Filtered Backprojection. Applied Sciences. 2021; 11(1):22. https://doi.org/10.3390/app11010022

Chicago/Turabian Style

Marichal-Hernández, José G., Ricardo Oliva-García, Óscar Gómez-Cárdenes, Iván Rodríguez-Méndez, and José M. Rodríguez-Ramos. 2021. "Inverse Multiscale Discrete Radon Transform by Filtered Backprojection" Applied Sciences 11, no. 1: 22. https://doi.org/10.3390/app11010022

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