ECE 380 Biomedical Imaging Spring 2011
Homework 9 Solutions
1) Ultrasound Resolution (15 points)
Consider a focused transducer with a radius of curvature of 10 cm and a
diameter of 5 cm. The transduce
ECE 380 Biomedical Imaging Spring 2011
Homework 10 Solutions
1) What is the incident optical intensity needed to detect a 3dB reflector that is
located 1 mm deep in a biological tissue with absorptio
ECE 380 Biomedical Imaging Spring 2011
Homework 2 Solutions
_
1. OneDimensional Fourier Transforms (15 points)
a)
f ( x) 3 ( x 3)
F (k ) 3
( x 3)e j 2 kx dx
j 6 k
=3e
b)
f ( x) cos(3x) 5cos(5x)
Tak
ECE 380 Biomedical Imaging Spring 2011
Solutions Homework 3
_
1. Contrast to Noise Ratio (10 points)
The Contrast to Noise Ratio (CNR) is defined as
 S A SB 
N
. Hence,
 80 60 
N
0.4 or
N 50 ,
w
ECE 380 Biomedical Imaging Spring 2011
Homework 6 solutions
1) The hydrogen nuclei in the body are found mainly in fat and water. The T 2 value of fat was
measured to be 100 ms and that of water to be
ECE 380 Biomedical Imaging Spring 2011
Homework 6
Due on Thursday, 03/17/11 in class
1) The hydrogen nuclei in the body are found mainly in fat and water. The T 2 value of fat was
measured to be 100 m
Fall 2016 ECE/BioE 380 Biomedical Imaging
Homework #4 Solution
Problem 1. Ultrasound Artifacts
(1) Acoustic shadowing This occurs when a highly scattering or reflecting regions creates a
shadow maskin
Introduction
Ideally, ballistic imaging is based on unscattered or
singly backscattered ballistic photons.
In reality, morescattered quasiballistic photons are
often measured as well to increase
Introduction to Optical Coherence Tomography (OCT)
Ballistic optical imaging: assumption of ballistic path.
Analog of ultrasonography: pulse echo mode.
Transverse resolution: NA of imaging optics
Axia
Fall 2016 ECE/BioE 380 Biomedical Imaging
Homework #3 Solution
Problem 1. Image characteristics II (Ultrasound)
(a) The axial resolution is given by x
cT
2
. Taking c=1540 m/s and T=0.75 s. The axial
Problem 1. Image characteristics
Consider an imaging system with the following characteristics:

Spatial resolution = 20 um
Fieldofview = 5mm *4mm
Frame rate = 30 frames per second
Dynamic range of
Fall 2016 ECE 380: Biomedical Imaging
Homework 1 Solution
Problem 1. Anatomy of Human Visual System (10%)
(1) Label the following structures in the diagram below: Cornea, Iris, Retina, Fovea,
Fall 2016 ECE/BioE 380 Biomedical Imaging
Homework #5 Solution
Due on Thursday, September 29th in class
Problem 1. Resolution and Penetration depth of Imaging Modalities (15%)
Label each of the colore
ECE 380  Homework 9
Due Thursday, April 24, 2014
Problem 1
Scattering Phantom
5
10
Depth [mm]
15
20
25
30
35
40
0
5
10
15
20
25
Horizontal Position [mm]
30
35
Using MATLAB, you will process an ultras
ECE 380  Homework 10
Due Tuesday, May 06, 2014
Problem 1
The plot below shows the absorption spectra versus wavelength for biological tissue.
Label the xaxis with numerical wavelengths and indicate
ECE 380  Homework 10 Solutions
Problem 1
Problem 2
Column a represents a normal brain. Column b represents a left ventricular hemorrhage.
Problem 3
The effective crosssectional area is a a / 21/1.02
ECE 380  Homework 7
Due Thursday, April 03, 2014
Problem 1
Match each scan type with its corresponding image. Indicate whether the image is acquired using
either planar gamma camera, SPECT, or PET, a
ECE 380  Homework 8
Due Thursday, April 17, 2014
Problem 1
a) What phenomenon is responsible for the focusing and steering of acoustic waves?
b) Match the following transducer array schemes with thei
ECE 380  Homework 6
Due Thursday, March 20, 2014
Problem 1
A 1 mm slice perpendicular to the zaxis at position z = 0.25 m is excited with a radiofrequency
pulse at frequency f. The magnetic field B0
ECE 380  Homework 8 Solutions
Problem 1
a) Constructive interference. This is the phenomenon in which waves from multiple sources
add together in a constructive manner as to amplify each other. By us
ECE 380  Homework 6 Solutions
Problem 1
a) Using Equation 4.33
z B0 Gz z
2 f B0 Gz z
f
B0 Gz z
2
63.96MHz
b) Using Equation 4.34
Gz z
42.57MHz 1.5T 10 mT
f 42.57MHz 10 mT
m
1mm
425.7Hz
Pr
ECE 380  Homework 5 Solutions
Problem 1
a) The Larmor frequency is equal to the precession frequency 0 RF B0 .
Using the values of
from Table 4.1 we get the following results:
2
2 f B0
f
1
1
B0
2
H