Skip to content
Register Sign in Wishlist
The Radon Transform and Medical Imaging

The Radon Transform and Medical Imaging

£59.99

  • Date Published: March 2014
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • format: Paperback
  • isbn: 9781611973280

£ 59.99
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
Unavailable Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The Radon transform, which represents the scattering data arising from a tomographic scan, underpins the mathematical foundations of medical imaging. This book surveys the mathematics 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. Presented in this treatment are explanations of important concepts such as inversion, stability, incomplete data effects, the role of interior information, and other critical issues. In addition to emphasising mathematical ideas from across the spectrum of medical imaging modalities, the author provides a vast bibliography, and appendices covering notation, Fourier analysis, geometric rays, and linear operators. Graduate students and researchers in mathematics, physics, and engineering who are interested in medical imaging will find this book to be an invaluable resource.

    • Emphasises mathematical techniques and ideas arising across the spectrum of medical imaging modalities
    • Surveys the mathematical underpinnings of several new 'coupled physics' medical imaging techniques
    • Includes appendices for non-specialists covering notation, Fourier analysis, geometric rays, and linear operators
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: March 2014
    • format: Paperback
    • isbn: 9781611973280
    • length: 260 pages
    • dimensions: 270 x 170 x 12 mm
    • weight: 0.43kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • Table of Contents

    List of figures
    Preface
    Part I. Introduction:
    1. Why use mathematics in medical imaging?
    2. A brief and incomplete history of CT
    3. Some major CT modalities and their features to watch for
    4. Organization of the book
    Part II. Traditional Computed Tomography Techniques and Integral Geometry:
    5. 'Standard' CT and X-ray and Radon transforms
    6. Emission tomography
    7. Artifacts, incomplete data, microlocal analysis, and such
    8. More about 3D Radon and X-ray transforms
    9. A brief overview of numerical methods
    10. MRI, EIT, OT, elastography, UT
    Part III. Hybrid (Coupled Physics) Imaging Techniques:
    11. Thermo-, photo-, and optoacoustic tomography (TAT/PAT/OAT)
    12. Ultrasound modulation in EIT and OT
    13. Inverse problems with interior information
    Part IV. Appendices: A. Notation
    B. Brief notes on the Fourier transform and harmonic analysis
    C. Geometric rays, trapping, energy decay
    D. Some classes of linear operators and operator functions
    E. Recommended books and surveys
    Bibliography
    Index.

  • Author

    Peter Kuchment, Texas A & M University
    Peter Kuchment is a Distinguished Professor in the Mathematics Department of Texas A&M University. He is a Fellow of both the American Mathematical Society and the Institute of Physics. His work is focused in the areas of mathematical physics, partial differential equations, spectral theory, medical imaging, and the enhancement of K-12 education in mathematics. He has authored more than 150 publications, including the books Floquet Theory for Partial Differential Equations (1993) and Introduction to Quantum Graphs (with G. Berkolaiko, 2013).

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×