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
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
UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
Department of Electrical and Computer Engineering
ECE 498MH Signal and Image Analysis
Homework 2
Fall 2014
Assigned: Thursday, September 4, 2014
Due: Wednesday, September 10, 2014
Reading: Jason Starck, All About
UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
Department of Electrical and Computer Engineering
ECE 544NA Pattern Recognition
Homework 3
Fall 2014
Assigned: Thursday, September 12, 2013
Due: Thursday, September 19, 2013
Reading: Duda, Hart & Stork Sections 5
UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
Department of Electrical and Computer Engineering
ECE 498MH Signal and Image Analysis
Lab 0
Fall 2014
Assigned: Thursday, August 28, 2014
Due: Thursday, September 4, 2014
Reading: MIT OCW Introduction to Matlab,
UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
Department of Electrical and Computer Engineering
ECE 498MH Signal and Image Analysis
Lab 1
Fall 2014
Assigned: Thursday, September 4, 2013
Due: Friday, September 12, 2013
Reading: Jason Starck, All About Circuit
UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
Department of Electrical and Computer Engineering
ECE 498MH Signal and Image Analysis
Homework 3
Fall 2014
Assigned: Thursday, September 11, 2014
Due: Thursday, September 25, 2014
Reading: Mark Hasegawa-Johnson,
UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
Department of Electrical and Computer Engineering
ECE 498MH Signal and Image Analysis
Homework 1
Fall 2014
Assigned: Thursday, August 28, 2014
Due: Thursday, September 4, 2014
Reading: Jason Starck, All About Cir
Robust
Systems
Robust
Systems
Matlab
Lab
Lab
There are many tutorials. A partial list is given at:
http:/www.duke.edu/~hpgavin/matlab.html
Image Processing Using Matlab
!
!
Demos can be found at Mathworks site:
!
http:/www.mathworks.com/products/m
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
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 particu
Solution Set 6, 18.06 Fall '11
1. Do problem 4 from 4.4.
Solution.
(a) The matrix
Q=
1
0
QQT =
(b) The vectors
0
,
0
in
(c) I claim that
R
1
0
has orthonormal columns but
1 0 =
1 0
1 0
=
= I.
0 0
0 1
are orthogonal but are not linearly independent.
1/6
Solution Set 9, 18.06 Fall '11
1. Do Problem 5 from 8.3. Surprising?
0.98
0
0
Solution. Let A = 0.02 0.97 0. Since A is a lower triangular matrix, its eigen0
0.03 1
values are its diagonal entries, namely, 0.98, 0.97 and 1. The steady state of this
system
Solution Set 2, 18.06 Fall '11
1. Do Problem 7 from 2.6.
We perform the Gau elimination w/o row exchange, and record below the
matrices Eij [recalling the textbook's notation: Eij adds a multiple of j 'th row to
i'th row, while suppressing (in notation) w
Solution Set 4, 18.06 Fall '11
1. Do Problem 1 from 3.6.
(a) Solution. Rank equals both the dimension of the column space and the dimension
of the row space:
dim C(A) = 5,
dim C(AT ) = 5.
Now we can easily gure out the dimensions of the nullspace and of l
18.06
Professor Strang
Quiz 3
May 7th, 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 Rinn S
Solution Set 3, 18.06 Fall '11
1.
(a) Do problem 1 from 3.2.
Solution. We perform row operations on
A
to get (rst step is subtracting the
rst row from the second, the second step is subtracting the second row from
the third)
1 2 2 4 6
1 2 3 6 9
0 0 1 2 3
18.06
Professor Strang
Quiz 3 Solutions
May 7th, 2012
Grading
1
Your PRINTED name is:
2
3
Please circle your recitation:
r01 T 11
4-159 Ailsa Keating
ailsa
r02 T 11 36-153 Rune Haugseng
haugseng
r03 T 12
jmypark
4-159 Jennifer Park
r04 T 12 36-153 Rune Ha
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 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