Medical Imaging & Image Reconstruction

Special Topics in Signals & Systems (ECEn 682R, Section 1)

Winter 2012



Lectures: Monday, Wednesday, and Friday, 1:00 - 1:50pm
Location: 369 Clyde Building
Instructor: Neal K. Bangerter
Office: 449 Clyde Building
Office Hours: Monday, Wednesday, and Friday, 2:00 - 3:00pm
Phone: 801-422-4869
Email: nealb@ee.byu.edu
Course Information: Syllabus
  Introduction to Matlab - Optional
Final Project Presentations Schedule: 9:00 - 10:30am, Monday April 16th
9:00 - 9:15am    Transmit Arrays in MRI - Faster Acquisition and Controlled Power Deposition (Taylor Webb and Kyle Browning)
9:15 - 9:30am    Functional MRI and BOLD Contrast (Nikki Maughan and Grayson Tarbox)
9:30 - 9:45am    Gridding Non-Cartesian Data for Cartesian Reconstruction (Richard Lindsley)
9:45 - 10:00am    Diffusion MRI Pulse Sequence Simulation (James Badal and Kurtis Cahill)
10:00 - 10:15am    Uses of Magnetic Resonance Temperature Imaging in Thermotherapy (Joshua Smith)
10:15 - 10:30am    Compressed Sensing MRI (Anjali Patil and Bryan Blankenagel)
  11:00 - 12:30am, Monday April 16th
11:00 - 11:15am    A Comparison of Sparse Domains in Compressed Sensing (Grant Wagner)
11:15 - 11:30am    Diffusion Weighted and Diffusion Tensor Imaging (Jorge Jimenez)
11:30 - 11:45am    MRI Image Reconstruction Using Compressed Sensing in k-Space and Wavelet Domain (Kyra and Kevin Moon)
11:45 - noon    Simulation of MRI Image Formation with Nonlinear Gradients (Haonan Wang)
noon - 12:15pm    Frequeny Dependence of Ultrasound Attenuation and Spatial Resolution (Spencer Chadderdon)
12:15 - 12:30pm    A Comparison of Compressed Sensing Sampling Schemes (Ahsan Javed and Daniel Perry)
Homework:
Homework #1        SOLUTIONS
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Homework #2        SOLUTIONS
    compton_angles.mat

Homework #3        SOLUTIONS

Homework #4         SOLUTIONS

Homework #5        SOLUTIONS

Final project proposal instructions

Homework #6
Lecture Schedule and Notes:
Jan 4 - 6 Lectures 1 and 2
       Wilhelm Roentgen - X-ray guy
       Godfrey Hounsfield - CT
       Allan Cormack - CT
       Henri Becquerel - discovered radioactivity
       George de Hevesy - developed radioactive tracers
       Lord John Rayleigh - interaction of acoustic waves with media
       Felix Bloch - early work in NMR
       Edward Purcell - early work in NMR
       Richard R. Ernst - early work in NMR and MRI
       Raymond Damadian - one of the inventors of MRI
       Paul Lauterbur - Nobel Prize for MRI in 2003
       Sir Peter Mansfield - Nobel Prize for MRI in 2003
Jan 9 Lecture 3: Signals & Systems Review
Jan 11 Lecture 4: 2D Fourier Transform
Jan 13 Lecture 5: Sampling in 2D
Jan 20 Lecture 6: Review of Random Variables
Jan 23 Lecture 7: Quantitative Accuracy, Specificity, Sensitivity, etc.
Jan 25 Lecture 8: Introduction to the Physics of Radiography
Jan 27 Lecture 9: Interactions of Ionizing Radiation with Matter
Jan 30 Lecture 10: X-ray Attenuation, Sources, and Detectors
Feb 1 Lecture 11: Projection Radiography and the X-ray Imaging Equation
Feb 3 Complete Projection Radiography and show image slides
Feb 6 Lecture 12: Introduction to Computed Tomography (CT)
Feb 8 Lecture 13: Reconstruction Techniques for Computed Tomography
Feb 10 Lecture 14: Introduction to MRI Reading: p. 1 - 29 in Nishimura (Chapters 1, 2, and Chapter 3 up through 3.1.4)
Feb 13 Lecture 15: Selective Excitation and Basic Pulse Sequences Reading: p. 29 - 42 in Nishimura (the rest of Chapter 3)
Feb 15 Lecture 16: The Physics of MRI Reading: p. 45 - 55 in Nishimura (Chapter 4)
Feb 17 Lecture 17: The MR Signal Equation and k-Space Reading: p. 57 - 74 in Nishimura (Sections 5.1 - 5.5)
Feb 21 Lecture 18: Pulse Sequences in k-Space and Sampling Requirements Reading: p. 74 - 93 in Nishimura (Sections 5.6 - 5.7.3)
Feb 22 Lecture 19: Pulse Sequences in k-Space and Sampling Requirements (continued...) (same lecture notes as last time) If you didn't read last time, do the reading! (And consider yourself a slacker...)
Feb 24 Lecture 20: Off-Resonance Effects and Echoes Reading: p. 127 - 139 in Nishimura (Sections 7.1 - 7.1.3)
Feb 27 Lecture 21: Spin Echoes in Imaging, other non-idealities Reading: p. 140 - 146 in Nishimura (Sections 7.1.4 - 7.3.2)
Feb 29 Lecture 22: Image Contrast, Pulse Sequence Modelling and Optimization Reading: p. 147 - 154 in Nishimura (Sections 7.4 - 7.4.2)
Mar 2 Midterm Review  
Mar 5 Lecture 23: Noise Considerations Reading: p. 154 - 165 in Nishimura (Sections 7.5 through the end of the chapter)
Mar 7 Lecture 24: Fast Imaging Reading: p. 175 - 192 in Nishimura (Chapter 8)
Mar 9 DISCUSSION OF FINAL PROJECTS Reading: p. 193 - 201 in Nishimura (Chapter 9)
Mar 12 Lecture 25: Spectroscopic Imaging Reading: p. 193 - 201 in Nishimura (Chapter 9)
Mar 14 Lecture 26: Flow Imaging Reading: p. 203 - 212 in Nishimura (Chapter 10)
Mar 16 Lecture 27: Partial k-Space Reconstructions Partial k-Space Reconstruction (John Pauly)
Mar 19 Lecture 28: Non-Cartesian Reconstruction (part 1) Non-Cartesian Reconstruction (John Pauly)
Mar 21 Lecture 29: Non-Cartesian Reconstruction (part 2) Gridding and the NuFFT (John Pauly)
Mar 23 Lecture 30: Guest lecturer - Brock Kirwan (Neuropsychology)  
Mar 26 Lecture 31: Compressed Sensing Sparse MRI: The application of compressed sensing for rapid MR imaging
Mar 28 Lecture 32: Parallel Imaging (part 1) Parallel magnetic resonance imaging
Mar 30 Lecture 33: Parallel Imaging (part 2)  
Apr 2 Lecture 34: Diffusion MRI --- FINAL EXAM (TAKEHOME) AVAILABLE  
Apr 4 Lecture 35: Ultrasound (part 1) Ultrasound lecture notes (Apr 4 and 6)
Apr 6 Lecture 36: Ultrasound (part 2) --- FINAL EXAM DUE 5pm  
Apr 9 NO CLASS - FINAL PROJECT PREPARATION  
Apr 11 NO CLASS - FINAL PROJECT PREPARATION  
Apr 16 FINAL PROJECT PRESENTATIONS - TIME AND SCHEDULE TBA