The radon transform and medical imaging / Peter Kuchment.

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Bibliographic Details
Main Author: Kuchment, Peter, 1949- (Author)
Corporate Author: Society for Industrial and Applied Mathematics (Issuing body)
Language:English
Published: Philadelphia : Society for Industrial and Applied Mathematics, [2014]
Series:CBMS-NSF regional conference series in applied mathematics ; 85.
Subjects:
Radon transforms.
Geometric tomography.
Imaging systems in medicine.
Tomography > methods.
Mathematics.
Radon.
Lectures.
Genre:
Lectures.
Physical Description:xvi, 240 pages : illustrations (some color) ; 26 cm.
Format: Book
Contents:
  • I. Introduction
  • Why use mathematics in medical imaging?
  • A brief and incomplete history of CT
  • Some major CT modalities and their features to watch for
  • Organization of the book
  • II. Traditional computed tomography techniques and integral geometry
  • "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
  • III. Hybrid (coupled physics) imaing techniques
  • Thermo-, photo-, and optoacoustic tomography (TAT/PAT/OAT)
  • Ultrasound modulation in EIT and OT
  • Inverse problems with interior information
  • 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.