Homework 1, 2015
Problem 1 in Textbook, page 20. Copied below. ONLY do the odd rows, i.e. rectangular, Gaussian, scaling,
phase factor, convolution and direct delta.
Table 1.A1. Basic Fourier transform pairs
Name
f ( x)
F( k )
Rectangular
rect (x )
sinc (
Homework 3, 2015
Now we have learned the basic gradient echo and spin echo sequences. It is important for
engineers to know how to select imaging parameters, TE, TR (and flip angle for gradient echo
sequence). This requires us to understand the basic sign
Homework 5, 2015
Illustrated here is the spin echo diffusion pulse sequence. The phase encoding gradient area a1 is 50*delta_k (spacing).
The diffusion gradient is put on y-axis with area a2=500 delta_k. Plot kx, ky, kz, m_transverse, and m_z as a functio
Homework 3, 2015
The spoiled gradient echo sequence (Fig.3.9a) is plotted below. Approximately the spin is excited
into the transverse plane at time 0, then the transverse component starts Larmor precession,
which is controlled by the imaging gradients.
1
Homework 2, Fall 2015
Take a square gray selfie of your face (similar to your passport photo) with your smartphone or any camera you have. You
may need some photo manipulation to get gray scale image; you may use any matrix size, such as 512x512; you may
PascalSpincemaille
Blackbloodimaging
Spinecho
Doubleinversionfastspinecho
Brightbloodimaging
Timeofflight(TOF)
Phasecontrast
ContrastenhancedMRA
RecentdevelopmentsinnonCEMRA
Z
flipangle
longitudinal
X
T1relaxation
Y
transversal
T2relaxation
Larmor f
BME6180: Principles of Magnetic
Resonance Imaging
Yi Wang, PhD
[email protected]
Book: Yi Wang, Principles of Magnetic Resonance Imaging
www.createspace.com/4001776
Physics Applications in Medicine:
Medical Imaging
Pascal Spincemaille, PhD
Cornell Univers
Homework 3, 2016
The spoiled gradient echo sequence (Fig.3.9a) is plotted below. Approximately the spin is excited
into the transverse plane at time 0, then the transverse component starts Larmor precession,
which is controlled by the imaging gradients.
1