EECE 5626: Image Processing and Pattern Recognition
Project 1
September 17, 2014
Due on October 1, 2014
Image Representation, Transformation and Histogram Operations
The purpose of this project is to get familiar with digital images representations and si
EECE 5626: Image Processing and Pattern Recognition
Homework 1
Given September 10, 2014, Due: September 17, 2014
Coordinates Transformations and Pin Hole Camera Model
1. 2.1 G & W (3ed)
2. 2.5 G & W (3ed)
3. 2.7 G & W (3ed)
4. A camera is located in a 10
18.06 (Fall '11) Problem Set 9
This problem set is due Thursday, November 17, 2011 at 4pm. The problems are out of
the 4th edition of the textbook. For computational problems, please include a printout of
the code with the problem set (for MATLAB in parti
18.06
Professor Strang
Quiz 2
April 11th, 2012
Grading
1
Your PRINTED name is:
2
3
Please circle your recitation:
r01
T 11
4-159 Ailsa Keating
r02
T 11
r03
T 12
r04
T 12
36-153
Rune Haugseng
haugseng
r05
T1
4-153
Dimiter Ostrev
ostrev
r06
T1
4-159
Uhi Rin
18.06
Professor Edelman
Quiz 3
December 5, 2011
Grading
1
2
Your PRINTED name is:
3
4
Please circle your recitation:
1 T9
2-132 Kestutis Cesnavicius 2-089 2-1195 kestutis
2 T 10 2-132 Niels Moeller
2-588 3-4110 moller
3 T 10 2-146 Kestutis Cesnavicius 2-0
18.06
Professor Strang
Quiz 2
April 11th, 2012
Grading
1
Your PRINTED name is:
2
3
Please circle your recitation:
r01
T 11
4-159 Ailsa Keating
r02
T 11
r03
T 12
r04
T 12
36-153
Rune Haugseng
haugseng
r05
T1
4-153
Dimiter Ostrev
ostrev
r06
T1
4-159
Uhi Rin
18.06 Spring 2012 Problem Set 8
This problem set is due Thursday, April 26th, 2012 at 4pm (hand in to Room 2-106). The
textbook problems are out of the 4th edition. For computational problems, please include a
printout of the code with the problem set (fo
18.06 Spring 2012 Problem Set 9
This problem set is due Thursday, May 3rd, 2012 at 4pm (hand in to Room 2-106). The
textbook problems are out of the 4th edition. For computational problems, please include a
printout of the code with the problem set (for M
18.06 Quiz 1
Professor Strang
Please PRINT your name
March 9, 2012
1.
2.
Please Circle your Recitation:
r1
r2
r3
r4
r5
r6
r7
r8
r9
r10
T
T
T
T
T
T
T
T
T
ESG
11
11
12
12
1
1
1
2
2
4-159
36-153
4-159
36-153
4-153
4-159
66-144
66-144
4-153
3.
4.
Ailsa Keatin
nllp
tr`o
t t`ee
tr`o
nllp
l l p
q!ds
t t`ee
t
stds
p
l l p
q!ds
F
t
p
0s
e
o sp
d`o
ttj`o
p
p
`o
n p
d`o
p
`o
n p
d`o
y v
e"!m
!F&
v w vcfw_
v hS
w!cfw_ FS|ez0'u
y
w v ~ wcfw_ x y xw v
v w vcfw_
v hS
w ycfw_ w v ~ wcfw_ x y x w v
!cfw_ FS|ez
18.06 Spring 2012 Problem Set 8
This problem set is due Thursday, April 26th, 2012 at 4pm (hand in to Room 2-106). The
textbook problems are out of the 4th edition. For computational problems, please include a
printout of the code with the problem set (fo
18.06
Professor Edelman
Quiz 2
November 4, 2011
Grading
1
2
Your PRINTED name is:
3
4
Please circle your recitation:
1 T9
2-132 Kestutis Cesnavicius 2-089 2-1195 kestutis
2 T 10 2-132 Niels Moeller
2-588 3-4110 moller
3 T 10 2-146 Kestutis Cesnavicius 2-0
18.06 Spring 2012 Problem Set 6
This problem set is due Thursday, April 5th, 2012 at 4pm (hand in to Room 2-106). The
textbook problems are out of the 4th edition. For computational problems, please include a
printout of the code with the problem set (for
18.06 Quiz 1
Professor Strang
Please PRINT your name
March 9, 2012
1.
2.
Please Circle your Recitation:
r1
r2
r3
r4
r5
r6
r7
r8
r9
r10
T
T
T
T
T
T
T
T
T
ESG
11
11
12
12
1
1
1
2
2
4-159
36-153
4-159
36-153
4-153
4-159
66-144
66-144
4-153
3.
4.
Ailsa Keatin
nl lp
tr`o
t t`ee
tr`o
nl lp
l l p
q!ds
t t`ee
t
stds
p
l l p
q!ds
F
t
p
0s
e
o sp
d`o
ttj`o
p
p
`o
n p
d`o
p
`o
n p
d`o
y v
e"!m
!F&
v w vcfw_
v hS
w!cfw_ FS|ez0'u
y
w v ~ wcfw_ x y xw v
v w vcfw_
v hS
w ycfw_ w v ~ wcfw_ x y x
18.06 Spring 2012 Problem Set 10 (not handed in/not graded)
This short extra problem set is not to be handed in. The problems are meant to help you
learn about linear transformations. The textbook problems are out of the 4th edition.
1. Do Problem 30 from
18.06 (Fall '11) Problem Set 10
This problem set is due Monday, November 28, 2011 at 4pm. The problems are out of the
4th edition of the textbook. For computational problems, please include a printout of the
code with the problem set (for MATLAB in partic
18.06 Spring 2012 Problem Set 9
This problem set is due Thursday, May 3rd, 2012 at 4pm (hand in to Room 2-106). The
textbook problems are out of the 4th edition. For computational problems, please include a
printout of the code with the problem set (for M
Solution Set 1, 18.06 Fall '11
1.
(a) Do Problem 17 from 2.1. Treat the vectors as
0 1 0
Solution. P = 0 0 1
1 0 0
(b) Calculate
P Q.
Calculate
and
QP .
column vectors.
0 0 1
Q = 1 0 0 .
0 1 0
Think about the signicance of the answers (no
explanation nece
18.06
Professor Edelman
Quiz 3
December 5, 2011
Grading
1
2
Your PRINTED name is:
3
4
Please circle your recitation:
1
T9
2-132
Kestutis Cesnavicius
2-089
2-1195
kestutis
2
T 10
2-132
Niels Moeller
2-588
3-4110
moller
3
T 10
2-146
Kestutis Cesnavicius
2-0
Solution Set 5, 18.06 Fall '11
1. Take two connected graphs
union be
C
A
and
(i.e. a big graph with
(a) What is the rank of
Solution. If
matrix of
C
R
and
C 's
S
B
A
with
and
B
a
and
b
vertices respectively.
Let their
as two disjoint parts).
adjacency mat
Solution Set 7, 18.06 Fall '11
1. Suppose
equal to
n > 1.
1 or 1
Prove that the determinant of an
n
by
n
matrix with every entry
is even.
Solution. Consider the big sum formula for computing the determinant. It will have
n!
n! permutations), each one equa
18.06 Spring 2012 Problem Set 10 (not handed in/not graded)
This short extra problem set is not to be handed in. The problems are meant to help you
learn about linear transformations. The textbook problems are out of the 4th edition.
1. Do Problem 30 from
ECE 459 Handout # 7
Fall 2000 November 17, 2000
HOMEWORK ASSIGNMENT 6
Reading: Lecture notes (lectures 19-23), papers/books referenced in lecture notes. Due Date: Thursday, December 7, 2000 (in class)
1. Performance analysis of MF detection for asynchrono
ECE 459 Handout # 5
Fall 2000 October 24, 2000
HOMEWORK ASSIGNMENT 4
Reading: Lecture notes (lectures 12-15), papers/books referenced in lecture notes. Due Date: Thursday, November 2, 2000 (in class)
1. ACF of Flat Fading Process cfw_E(t). Consider the at
ECE 459 Handout # 6
Fall 2000 November 7, 2000
HOMEWORK ASSIGNMENT 4
Reading: Lecture notes (lectures 16-18), papers/books referenced in lecture notes. Due Date: Thursday, November 16, 2000 (in class)
1. Optimality of maximal-ratio combining scheme for co
Solution Set 8, 18.06 Fall 11
1. What are the possible eigenvalues of a projection matrix? (Hint: if P 2 = P and v is
an eigenvector, look at P 2 v and P v). Show that the values you give are all possible.
Solution. If P v = v, P 2 v = 2 v = v, so 2 = and