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.