Abstract
To this point, we have studied how Fourier transform methods are used in image reconstruction. This is the approach taken in the seminal work of Cormack [13] and used in the algorithms of today’s CT scan machines. However, the first CT scanner, designed in the late 1960 s by Godfrey Hounsfield, used an approach grounded in linear algebra and matrix theory to generate an image from the machine readings. Algorithms that adopt this point of view are known as algebraic reconstruction techniques, or ART, for short. In this chapter, we look at a few basic mathematical elements of ART.
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© 2010 Springer-Verlag New York
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Feeman, T.G. (2010). Algebraic Reconstruction Techniques. In: The Mathematics of Medical Imaging. Springer Undergraduate Texts in Mathematics and Technology . Springer, New York, NY. https://doi.org/10.1007/978-0-387-92712-1_9
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DOI: https://doi.org/10.1007/978-0-387-92712-1_9
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Online ISBN: 978-0-387-92712-1
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