Looking Ahead

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Abstract

Tomographic imaging is enjoying an explosion of growth as new measurement technology opens up novel tomographic modalities, with higher resolution in space and time, as well as adding extra dimensions with spectral, polarization, phase contrast, and diffraction measurement techniques. Energy-resolved detectors for X-rays, e.g., open up new methods that make use of scattered radiation, with some Compton tomography modalities resulting from integrals of volume images over surfaces instead of straight lines [174]. Problems in multistatic radar and seismic imaging result in weighted integrals over ellipses and ellipsoids [124]. While analytical methods are available for some generalizations of the Radon transform, practical problems typically have limited and noisy data. Once a discretization of the forward problem has been implemented generalizing the ideas in Chapter 9, regularized solutions can be obtained using the methods of Chapters 12 and 13.
Original languageEnglish
Title of host publicationComputed Tomography: Algorithms, Insight, and Just Enough Theory
EditorsPer Christian Hansen, Jakob Sauer Jørgensen, William R. B. Lionheart
PublisherSociety for Industrial and Applied Mathematics
Publication date2021
Pages317-318
Chapter14
ISBN (Print)978-1-61197-666-3
DOIs
Publication statusPublished - 2021
SeriesFundamentals of Algorithms

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