Table of 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.