Linear systemsreview
Linear Systems: Discrete case & 2D
Part 1: Review from G&W (continuous case)
Part 2: Discrete case & 2D
2D impulse function
Line function
Step function
Linear systems and Shift invariance
Impulse Response of LSI Systems
2D Convoluti
ECE178 HW #4
DUE: Friday, October 23, 2009 (by 5PM in the HW box)
Questions 0 to 4 are from the 3rd chapter of Digital Image Processing book by Gonzalez
and Woods (3rd Edition).
Q0. Review textbook problems 3.16, 3.19, 3.24, 3.25, 3.28. No need to turn in
HW #4
DUE: Monday, February 4, 2008 (by 5PM in the HW box)
Q4. Write a MATLAB program to reduce the eect of 1bit quantization using FloydSteinberg
Dithering Algorithm. Compare your results with uniform quantization without dithering.
Comment on the dier
ECE 178 HW #5
Due: Friday, Oct 30, 2009.
Chapter 4 [G&W 3rd Edition] (many of the problems are starred).
This homework explores the 1D/2D Fourier transform and its properties, both in
continuous and discrete domains.
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ECE 178 HW #6
Due: FRIDAY, Dec 4, 2009.
READING: CHAPTER 8 (SEE CLASS NOTES FOR REQUIRED READING)
Problem Numbers refer to the class text, 3E.
Chapter 8
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PROBLEM 8.1
PROBLEM 8.2
PROBLEM 8.3
PROBLEM 8.5
PROBLEM 8.8
PROBLEM 8.9
PROBLE
HW #1 Solutions
ECE 178 WINTER 2004
B.S. Manjunath
TAs: Srivatsan Pallavaram, Evan Ruzanski and Christopher Utley
Problem 2.1
The diameter, x, of the retinal image corresponding to the dot is obtained from similar
triangles, as shown in Fig. P2.1. That is
HW #1 Solutions
ECE 178 WINTER 2004
B.S. Manjunath
TAs: Srivatsan Pallavaram, Evan Ruzanski and Christopher Utley
Problem 2.2
Brightness adaptation.
Problem 2.5
From the geometry of Fig. 2.3,
Height of image = height of the lens = 7 mm (given)
Focal lengt
ECE 178 Hwk #2 Solutions
1) Problem 2.9
(a) The total amount of data (including the start and stop bit) in a 256 gray level or
8bit ,1024 x 1024 image, is (1024)2 x [8 + 2] bits. The total time required to transmit this
image over a At 56K baud link is (1
HW #4 Solutions
ECE 178 WINTER 2004
B.S. Manjunath
TAs: Srivatsan Pallavaram, Evan Ruzanski and Christopher Utley
1. Calculate the minimum sampling frequencies needed for a perfect reconstruction for
the above image I(x,y).
Ans: The minimum sampling frequ
ECE178 HW #3
DUE: Friday, October 16, 2009 (by 5PM in the HW box) Please write down all the steps involved for complete credit Q1. Review textbook problems 3.3, 3.5, 3.6. No need to turn in solutions to these problems. Q2. Textbook Gonzalez and Woods (3rd
Sampling and Quantization
Spatial Resolution (Sampling)
Sampling and Quantization
Determines the smallest perceivable image
detail.
What is the best sampling rate?
Graylevel resolution (Quantization)
Lecture #5
January 20, 2004
Smallest discernible
Fourier Transform  review 2D Fourier Transform
1D:
F u f ( x) =
af k p

z
f ( x )e  j 2 u x dx
f ( x ) 1 F ( u ) =
Week IV
2D DFT & Properties 2D:
k p
F ( u, v ) = f ( x, y ) =
zz zz

z
F (u )e j 2 u x du
f ( x , y )e
 j 2 ux + vy
a
f dx dy
F (u,
Sep 24, 2009
ECE 178 HW #1
Due: Friday, Oct 2, 2009
1. Problems 2.1 2.10 in the text. Note: While the books website provides solutions for
some of the problems, you are expected to go through them carefully and submit your
answers without cut & pasting th
Handout #2
Jan 09, 2007
ECE 178 HW #1
Due: Wednesday, Jan 17, 2006.
1. Compare and contrast the human eye with a modern digital camera. In your analysis,
consider issues such as brightness adaptation (i.e., the sensitivity of the sensor to a
wide range of
Handout #2
Jan 10, 2008
ECE 178 HW #1
Due: Wednesday, Jan 18, 2008
1. Compare and contrast the human eye with a modern digital camera. In your analysis,
consider issues such as brightness adaptation (i.e., the sensitivity of the sensor to a
wide range of
ECE 178 HW #2
Due: Friday, Oct 9, 2009
Chapter 2
Problems 2.112.19, except 2.14
Programming assignment
This is a MATLAB programming question. You need to familiarize yourself with the
MATLAB environment first. It is strongly encouraged that you go throug
ECE 178 HW #2
Due: Wednesday, Jan 24, 2007.
See the enclosed handout as well.
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Problem 2.11
Problem 2.12
Problem 2.15
Problem 2.16
Problem 2.17
Problem 2.19
Determine, for each of the following systems defined by the input/output
relat
ECE 178 HW #2
Due: Wednesday, Jan 23, 2008.
Problem numbers refer to the Chapter 2 from Gonzalez available online
http:/imageprocessingplace.com/DIP3E
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Problem 2.2
Problem 2.5
Problem 2.7
Problem 2.15
Problem 2.16, 2.17 (note: solution to 2
ECE 178 W04
HOMEWORK #5 SOLUTIONS
TA: Evan Ruzanski
Problem 3.3
The transformations required to produce the individual bit planes are nothing more than
mappings of the truth table for eight binary variables. In this truth table, the values of the
7th bit
Digital Image Processing, 2nd ed.
Digital Image Processing, 2nd ed.
www. imageprocessingbook .com
Linear Systems
Some Definitions
Objective
To provide background material in support of topics in Digital
Image Processing that are based on linear system the
ECE 178: Introduction to Digital Image Processing
Fall 2014
Distribution: Thursday, 20 November 2013
Homework Due: Thursday, 4 December 2014, 5:00pm
Prof. Michael Liebling
TAs: Nikhil Chacko, Kevin Chan, KuoChin Lien
Electrical & Computer Engineering Dep
ECE 178: Introduction to Digital Image Processing
Fall 2014
Prof. Michael Liebling
TAs: Nikhil Chacko, Kevin Chan, KuoChin Lien
Electrical & Computer Engineering Dept.
University of California, Santa Barbara
Solutions to Homework 4
Problem 1: Fourier Tra
ECE 178: Introduction to Digital Image Processing
Fall 2013
Prof. Michael Liebling
TAs: Nikhil Chacko, Kevin Chan
Electrical & Computer Engineering Dept.
University of California, Santa Barbara
Solutions to Homework 5
Problem 2: 2D Convolutions (60 points
ECE 178: Introduction to Digital Image Processing
Fall 2014
Prof. Michael Liebling
TAs: Nikhil Chacko, Kevin Chan, KuoChin Lien
Electrical & Computer Engineering Dept.
University of California, Santa Barbara
Solutions to Homework 7
Problem 1: Go Gauchos!
ECE 178: Introduction to Digital Image Processing
Fall 2014
Prof. Michael Liebling
TAs: Nikhil Chacko, Kevin Chan, KuoChin Lien
Electrical & Computer Engineering Dept.
University of California, Santa Barbara
Solutions to Homework 2
Problem 1: Camera Magn
ECE 178: Introduction to Digital Image Processing
Fall 2014
Prof. Michael Liebling
TAs: Nikhil Chacko, Kevin Chan, KuoChin Lien
Electrical & Computer Engineering Dept.
University of California, Santa Barbara
Homework 1
Problem 1: Image Storage and Transm
ECE 178: Introduction to Digital Image Processing
Fall 2014
Distribution: Thursday, 16 October 2014
Homework Due: Thursday, 23 October 2014, 5:00pm
Prof. Michael Liebling
TAs: Nikhil Chacko, Kevin Chan, KuoChin Lien
Electrical & Computer Engineering Dept