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The Radon Transform, Inverse Problems, and Tomography
 
Edited by: Gestur Ólafsson Louisiana State University, Baton Rouge, LA
Eric Todd Quinto Tufts University, Medford, MA
Front Cover for The Radon Transform, Inverse Problems, and Tomography
Available Formats:
Hardcover ISBN: 978-0-8218-3930-0
Product Code: PSAPM/63
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Electronic ISBN: 978-0-8218-9278-7
Product Code: PSAPM/63.E
List Price: $42.00
MAA Member Price: $37.80
AMS Member Price: $33.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $67.50
MAA Member Price: $60.75
AMS Member Price: $54.00
Front Cover for The Radon Transform, Inverse Problems, and Tomography
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The Radon Transform, Inverse Problems, and Tomography
Edited by: Gestur Ólafsson Louisiana State University, Baton Rouge, LA
Eric Todd Quinto Tufts University, Medford, MA
Available Formats:
Hardcover ISBN:  978-0-8218-3930-0
Product Code:  PSAPM/63
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Electronic ISBN:  978-0-8218-9278-7
Product Code:  PSAPM/63.E
List Price: $42.00
MAA Member Price: $37.80
AMS Member Price: $33.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $67.50
MAA Member Price: $60.75
AMS Member Price: $54.00
  • Book Details
     
     
    Proceedings of Symposia in Applied Mathematics
    Volume: 632006; 158 pp
    MSC: Primary 92; 44; 65; 94; 42;

    Since their emergence in 1917, tomography and inverse problems remain active and important fields that combine pure and applied mathematics and provide strong interplay between diverse mathematical problems and applications. The applied side is best known for medical and scientific use, in particular, medical imaging, radiotherapy, and industrial non-destructive testing. Doctors use tomography to see the internal structure of the body or to find functional information, such as metabolic processes, noninvasively. Scientists discover defects in objects, the topography of the ocean floor, and geological information using X-rays, geophysical measurements, sonar, or other data.

    This volume, based on the lectures in the Short Course The Radon Transform and Applications to Inverse Problems at the American Mathematical Society meeting in Atlanta, GA, January 3–4, 2005, brings together articles on mathematical aspects of tomography and related inverse problems. The articles cover introductory material, theoretical problems, and practical issues in 3-D tomography, impedance imaging, local tomography, wavelet methods, regularization and approximate inverse, sampling, and emission tomography. All contributions are written for a general audience, and the authors have included references for further reading.

    Readership

    Graduate students and research mathematicians interested in inverse problems and mathematical tomography.

  • Table of Contents
     
     
    • Articles
    • Eric Todd Quinto - An introduction to X-ray tomography and Radon transforms [ MR 2208234 ]
    • Alfred K. Louis - Development of algorithms in computerized tomography [ MR 2208235 ]
    • Adel Faridani - Fan-beam tomography and sampling theory [ MR 2208236 ]
    • Peter Kuchment - Generalized transforms of Radon type and their applications [ MR 2208237 ]
    • Peter Massopust - Inverse problems in pipeline inspection [ MR 2208238 ]
    • Liliana Borcea - Robust interferometric imaging in random media [ MR 2208239 ]
  • Additional Material
     
     
  • Request Review Copy
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Volume: 632006; 158 pp
MSC: Primary 92; 44; 65; 94; 42;

Since their emergence in 1917, tomography and inverse problems remain active and important fields that combine pure and applied mathematics and provide strong interplay between diverse mathematical problems and applications. The applied side is best known for medical and scientific use, in particular, medical imaging, radiotherapy, and industrial non-destructive testing. Doctors use tomography to see the internal structure of the body or to find functional information, such as metabolic processes, noninvasively. Scientists discover defects in objects, the topography of the ocean floor, and geological information using X-rays, geophysical measurements, sonar, or other data.

This volume, based on the lectures in the Short Course The Radon Transform and Applications to Inverse Problems at the American Mathematical Society meeting in Atlanta, GA, January 3–4, 2005, brings together articles on mathematical aspects of tomography and related inverse problems. The articles cover introductory material, theoretical problems, and practical issues in 3-D tomography, impedance imaging, local tomography, wavelet methods, regularization and approximate inverse, sampling, and emission tomography. All contributions are written for a general audience, and the authors have included references for further reading.

Readership

Graduate students and research mathematicians interested in inverse problems and mathematical tomography.

  • Articles
  • Eric Todd Quinto - An introduction to X-ray tomography and Radon transforms [ MR 2208234 ]
  • Alfred K. Louis - Development of algorithms in computerized tomography [ MR 2208235 ]
  • Adel Faridani - Fan-beam tomography and sampling theory [ MR 2208236 ]
  • Peter Kuchment - Generalized transforms of Radon type and their applications [ MR 2208237 ]
  • Peter Massopust - Inverse problems in pipeline inspection [ MR 2208238 ]
  • Liliana Borcea - Robust interferometric imaging in random media [ MR 2208239 ]
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