Magnetic resonance imaging: the basics

"Preface Book Synopsis Magnetic resonance imaging (MRI) is a rapidly developing field in basic, applied science and clinical practice. Research efforts in this field have already been recognized with five Nobel prizes, awarded to seven Nobel laureates during the last 69 years. The book begins with a general description of the phenomenon of magnetic resonance and a brief summary of Fourier transformations in two dimensions. It proceeds to examine the fundamental principles of physics for nuclear magnetic resonance (NMR) signal formation and image construction. To this extent, there is a detailed reference to the mathematical formulation of MRI using the imaging equation, description of the relaxation parameters T1 and T2, and reference to specific pulse sequences and data acquisition schemes. Additionally, numerous image quantitative indices are presented, including signal, noise, signal-to-noise, contrast, and resolution. The second part of the book discusses the hardware and electronics of an MRI scanner, the typical measurements and simulations of magnetic fields based on the law of Biot-Savart, followed by an introduction to NMR spectroscopy, and to dedicated spectral techniques employing various pulse sequences. The third part discusses advanced imaging techniques. While the list may contain numerous modern applications, including cardiac MR, coronary and peripheral angiography, flow, diffusion, and functional MRI (fMRI), the focus is maintained on parallel imaging. The book is enriched with numerous worked examples and problem sets with selected solutions. Nobel Prizes in Magnetic Resonance Magnetic resonance imaging is a field that emerged right after the Second World War, as a result of experimental work that was initiated initially for spectroscopy"--Provided by publisher.

Machine generated contents note: 1. Fourier Transformations -- 1.1. Introduction -- 1.2. Mathematical Representation of Images -- 1.3. Continuous Images -- 1.4. Delta Function -- 1.5. Separable Images -- 1.6. Linear Shift Invariant (LSI) Systems -- 1.7. Cascade Systems -- 1.7.1. Serial Cascade of LSI Systems -- 1.7.2. Parallel Cascade of LSI Systems -- 1.8. Stability -- 1.9. Fourier Transformation and Inverse FT -- 1.10. Properties of Fourier Transformations -- 1.11. Frequency Response -- 1.12. Discrete Images and Systems -- 1.13. Separable Images -- 1.14. Linear Shift Invariant Systems -- 1.15. Frequency Response: Point Spread Sequence -- 1.16. Discrete Fourier Transform and Its Inverse -- 1.17. Properties of Discrete Fourier Transforms -- Selected Readings -- 2. Fundamentals of Magnetic Resonance I: Basic Physics -- 2.1. Introduction -- 2.2. Quantum Mechanical Description of NMR: Energy Level Diagrams -- 2.3. Boltzmann Statistics -- 2.4. Pulsed and Continuous Wave NMR

Note continued: 2.5. Spin Quantum Numbers and Charge Densities -- 2.6. Angular Momentum and Precession -- 2.7. Overview of MR Instrumentation -- 2.8. The Classical View of NMR: A Macroscopic Approach -- 2.8.1. The…