• Preface (Help)
• About the author

1. Introduction
• NMRI or MRI ?
• Opportunities in MRI
• Tomographic Imaging
• Microscopic property responsible for MRI
 
2. The Mathematics of NMR
• Exponential Functions
• Trigonometric Functions
• Differentials and Integrals
• Vectors
• Matrices
• Rotation Matrices
• Coordinate Transformations
• Convolutions
• Imaginary Numbers
• The Fourier Transform
 
3. Spin Physics
• Spin
• Properties of Spin
• Nuclei with Spin
• Energy Levels
• NMR Transitions
• Energy Level Diagrams
• Continuous Wave NMR Experiment
• Boltzmann Statistics
• Spin Packets
• T1 Processes
• Precession
• T2 Processes
• Rotating Frame of Reference
• Pulsed Magnetic Fields
• Spin Relaxation
• Bloch Equations
 
4. NMR Spectroscopy
• Time Domain NMR Signal
• +/- Frequency Convention
• 90- FID
• Spin-Echo
• Inversion Recovery
• Chemical Shift
 
5. Fourier Transforms
• Introduction
• The + and - Frequency Problem
• The Fourier Transform
• Phase Correction
• Fourier Pairs
• The Convolution Theorem
• The Digital FT
• Sampling Error
• The Two-Dimensional FT
 
6. Imaging Principles
• Introduction
• Magnetic Field Gradient
• Frequency Encoding
• Back Projection Imaging
• Slice Selection
 
7. Fourier Transform Imaging Principles
• Introduction
• Phase Encoding Gradient
• FT Tomographic Imaging
• Signal Processing
• Image Resolution
 
8. Basic Imaging Techniques
• Introduction
• Multislice imaging
• Oblique Imaging
• Spin-Echo Imaging
• Inversion Recovery Imaging
• Gradient Recalled Echo Imaging
• Image Contrast
• Signal Averaging
 
9. Imaging Hardware
• Hardware Overview
• Magnet
• Gradient Coils
• RF Coils
• Qadrature Detector
• Safety
• Phantoms
 
10. Image Presentation
• Image Histogram
• Image Processing
• Imaging Coordinates
• Imaging Planes
 
11. Image Artifacts
• Introduction
• RF Quadrature
• Bo Inhomogeneity
• Gradient
• RF Inhomogeneity
• Motion
• Flow
• Chemical Shift
• Partial Volume
• Wrap Around
• Gibbs Ringing
 
12. Advanced Imaging Techniques
• Introduction
• Volume Imaging (3-D Imaging)
• Flow Imaging (MRI Angiography)
• Diffusion Imaging
• Fractional Nex & Echo Imaging
• Fast Spin-Echo Imaging
• Chemical Shift Imaging (Fat Suppression)
• Echo Planar Imaging (Functional MRI)
• Spatially Localized Spectroscopy
• Chemical Contrast Agents
• Magnetization Transfer Contrast
• Variable Bandwidth Imaging
• T₁, T₂, & Spin Density Images
• Tissue Classification
• Hyperpolarized Noble Gas Imaging
• Parallel Imaging
• Magnetic Resonance Elastography
• Electron Spin Resonance
 
13. Your MRI Exam
• Introduction
• Screening
• The Imager
• The Exam
• Your Results
 
14. Clinical Images
• Angiography
• Head & Neck
• Spine
• Extremities
 

• Glossary
• List of Symbols
• References
• Usage Statistics
• Software License

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Copyright © 1996-2007 J.P. Hornak.
All Rights Reserved.