The Demo Site

Dr. Hornak is Professor of Chemistry and Imaging Science at the Rochester Institute of Technology where he teaches courses in magnetic resonance imaging, nuclear magnetic resonance spectroscopy, and analytical chemistry. He is also Director of the Magnetic Resonance Laboratory, a research and development laboratory on the RIT campus. His research interests include multi-spectral tissue classification with magnetic resonance images, near surface MRI, in vivo low frequency electron spin resonance of free radicals, magnetic resonance hardware development, and magnetic resonance imaging of materials.

Dr. Hornak received his Ph.D. from the University of Notre Dame and has done postdoctoral work at Cornell University. He is author of more than 160 published and conference papers on magnetic resonance related topics.

Additional information about Professor Hornak can be found on his web page. You may reach Professor Hornak by e-mail, or paper mail at Department of Chemistry, Rochester Institute of Technology, Rochester, NY 14623-5603.

• 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