The Radon Transform and Medical Imaging

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.