Algorithms in Tomography and Related Inverse Problems—A Review

In the ever-evolving landscape of tomographic imaging algorithms, this literature review explores a diverse array of themes shaping the field’s progress. It encompasses foundational principles, special innovative approaches, tomographic implementation algorithms, and applications of tomography in me...

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Main Authors: Styliani Tassiopoulou, Georgia Koukiou, Vassilis Anastassopoulos
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Algorithms
Subjects:
Online Access:https://www.mdpi.com/1999-4893/17/2/71
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author Styliani Tassiopoulou
Georgia Koukiou
Vassilis Anastassopoulos
author_facet Styliani Tassiopoulou
Georgia Koukiou
Vassilis Anastassopoulos
author_sort Styliani Tassiopoulou
collection DOAJ
description In the ever-evolving landscape of tomographic imaging algorithms, this literature review explores a diverse array of themes shaping the field’s progress. It encompasses foundational principles, special innovative approaches, tomographic implementation algorithms, and applications of tomography in medicine, natural sciences, remote sensing, and seismology. This choice is to show off the diversity of tomographic applications and simultaneously the new trends in tomography in recent years. Accordingly, the evaluation of backprojection methods for breast tomographic reconstruction is highlighted. After that, multi-slice fusion takes center stage, promising real-time insights into dynamic processes and advanced diagnosis. Computational efficiency, especially in methods for accelerating tomographic reconstruction algorithms on commodity PC graphics hardware, is also presented. In geophysics, a deep learning-based approach to ground-penetrating radar (GPR) data inversion propels us into the future of geological and environmental sciences. We venture into Earth sciences with global seismic tomography: the inverse problem and beyond, understanding the Earth’s subsurface through advanced inverse problem solutions and pushing boundaries. Lastly, optical coherence tomography is reviewed in basic applications for revealing tiny biological tissue structures. This review presents the main categories of applications of tomography, providing a deep insight into the methods and algorithms that have been developed so far so that the reader who wants to deal with the subject is fully informed.
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spelling doaj.art-66b259dcca5647ee80a0db307f425d4f2024-02-23T15:04:29ZengMDPI AGAlgorithms1999-48932024-02-011727110.3390/a17020071Algorithms in Tomography and Related Inverse Problems—A ReviewStyliani Tassiopoulou0Georgia Koukiou1Vassilis Anastassopoulos2Electronics Laboratory, Physics Department, University of Patras, Rio, 26504 Patras, GreeceElectronics Laboratory, Physics Department, University of Patras, Rio, 26504 Patras, GreeceElectronics Laboratory, Physics Department, University of Patras, Rio, 26504 Patras, GreeceIn the ever-evolving landscape of tomographic imaging algorithms, this literature review explores a diverse array of themes shaping the field’s progress. It encompasses foundational principles, special innovative approaches, tomographic implementation algorithms, and applications of tomography in medicine, natural sciences, remote sensing, and seismology. This choice is to show off the diversity of tomographic applications and simultaneously the new trends in tomography in recent years. Accordingly, the evaluation of backprojection methods for breast tomographic reconstruction is highlighted. After that, multi-slice fusion takes center stage, promising real-time insights into dynamic processes and advanced diagnosis. Computational efficiency, especially in methods for accelerating tomographic reconstruction algorithms on commodity PC graphics hardware, is also presented. In geophysics, a deep learning-based approach to ground-penetrating radar (GPR) data inversion propels us into the future of geological and environmental sciences. We venture into Earth sciences with global seismic tomography: the inverse problem and beyond, understanding the Earth’s subsurface through advanced inverse problem solutions and pushing boundaries. Lastly, optical coherence tomography is reviewed in basic applications for revealing tiny biological tissue structures. This review presents the main categories of applications of tomography, providing a deep insight into the methods and algorithms that have been developed so far so that the reader who wants to deal with the subject is fully informed.https://www.mdpi.com/1999-4893/17/2/71tomographic reconstruction algorithmsmulti-slice fusioninverse problemsreconstruction accelerationGPR tomographyseismic tomography
spellingShingle Styliani Tassiopoulou
Georgia Koukiou
Vassilis Anastassopoulos
Algorithms in Tomography and Related Inverse Problems—A Review
Algorithms
tomographic reconstruction algorithms
multi-slice fusion
inverse problems
reconstruction acceleration
GPR tomography
seismic tomography
title Algorithms in Tomography and Related Inverse Problems—A Review
title_full Algorithms in Tomography and Related Inverse Problems—A Review
title_fullStr Algorithms in Tomography and Related Inverse Problems—A Review
title_full_unstemmed Algorithms in Tomography and Related Inverse Problems—A Review
title_short Algorithms in Tomography and Related Inverse Problems—A Review
title_sort algorithms in tomography and related inverse problems a review
topic tomographic reconstruction algorithms
multi-slice fusion
inverse problems
reconstruction acceleration
GPR tomography
seismic tomography
url https://www.mdpi.com/1999-4893/17/2/71
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