Introduction to the mathematics of medical imaging

Preface to the second edition; Preface; How to use this nook; Notational conventions; 1. Measurements and modeling; 2. Linear models and linear equations; 3. A basic model for tomography; 4. Introduction to the Fourier transform; 5. Convolution; 6. The radon transform; 7. Introduction to Fourier series; 8. Sampling; 9. Filters; 10. Implementing shift invariant filters; 11. Reconstruction in X-ray tomography; 12. Imaging artifacts in X-ray tomography; 13. Algebraic reconstruction techniques; 14. Magnetic resonance imaging; 15. Probability and random variables; 16. Applications of probability; 17. Random processes; A. Background material; B. Basic analysis; Bibliography; Index