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 transducer operates at a frequency of 2.5 MHz and
transmits a pu
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)
Taking the Fourier transform of the first term in the expr
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 ,
which means that the standard deviation of noise should
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 ultrasound dataset to generate a Bmode image of the
scatteri
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, and Optic
Nerve.
(2) Briefly describe the fu
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 colored areas in the following image with the appropriate ima
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 masking a deeper structure beneath.
(2) Acoustic enhancement
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
Axial resolution: coherence length (time of flight).
Detect
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 the signal strength.
For brevity, subsequent use of th
Fall 2016 ECE/BioE 380 Biomedical Imaging
Homework #2
Due on Thursday, September 8th in class
Problem 1. Image characteristics (20%)
Consider an imaging system with the following characteristics:
 Spatial resolution = 20 m
 Fieldof
ECE 380: Biomedical Imaging
Homework 1
Due September 1, 2016
Problem 1. Anatomy of Human Visual System (10%)
(1) Label the following structures in the diagram below: Cornea, Iris, Retina, Fovea, and
Optic Nerve.
(2) Briefly describe the function of each s
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 the sensor = 25V to 25V
Bitdepth of the sensor (numb
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 the biological window
wavelength region.
Label the wa
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 1017 2.05 1016 cm2
Efficiency of absorption is Qa a /
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, and name possible radiotracer(s) used in the scan.
a) Bo
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 their corresponding ultrasound
beams.
A
B
1
C
2
3
Problem 2
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 = 1.5 T, and gradient Gz = 10 mT/m. Assume 1 H
1
imagi
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 using multiple piezoelectric elements embedded in a singl
ECE 380  Homework 7 Solutions
Problem 1
a) Image 3, planar gamma camera (scintigraphy), 99mTc
b) Image 1, SPECT, 201Tl or 99mTc
c) Image 2, SPECT, 99mTc
d) Image 4, PET, FDG
e) Image 5, PET, FDG
Problem 2
Using Equation 5.30 from the textbook:
1
ct
2
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
Problem 2
a) T2
b) T1
c) T1
Problem 3
a) False
b) True
c)
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 : f (42.57 MHz / T ) *(2T ) 85.14 MHz
C : f (10.71MHZ /
Imaging Techniques
Nuclear Medicine
Patrcia Figueiredo
IST 20102011
The wide spectrum of
medical imaging techniques
(F. Deconinck, Vrije
University, Belgium).
The wide spectrum of
medical imaging techniques
(F. Deconinck, Vrije
University, Belgium).
Nucl