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The radon transform and medical imaging

Author: Peter Kuchment; Society for Industrial and Applied Mathematics,
Publisher: Philadelphia : Society for Industrial and Applied Mathematics, [2014] ©2014
Series: CBMS-NSF regional conference series in applied mathematics, 85.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and  Read more...
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Details

Genre/Form: Electronic books
Lectures
Additional Physical Format: Print version:
(DLC) 2013038338
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Peter Kuchment; Society for Industrial and Applied Mathematics,
ISBN: 9781611973297 1611973295
OCLC Number: 887194619
Description: 1 online resource (xvi, 240 pages) : illustrations (some color).
Contents: Why use mathematics in medical imaging? --
A brief and incomplete history of CT --
Some major CT modalities and their features to watch for --
"Standard" CT and x-ray and radon transforms --
Emission tomography --
Artifacts, incomplete data, microlocal analysis, and such --
More about 3D radon and x-ray transforms --
A brief overview of numerical methods --
MRI, EIT, OT, elastography, UT --
Thermo-, photo-, and optoacoustic tomography (TAT/PAT/OAT) --
Ultrasound modulation in EIT and OT --
Inverse problems with interior information.
Series Title: CBMS-NSF regional conference series in applied mathematics, 85.
Responsibility: Peter Kuchment, Texas A & M University, College Station, Texas.

Abstract:

This book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods. For nonexperts, the author provides appendices that cover background information on notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional information sources on medical imaging for further study.

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