ECE 181b Homework 2
Spring 2006
1
Image of Line in 3D
Question 1 Show Analytically that the image of a line in 3-D space is a line
in the image. Assume perspective projection.
10 points
Answer 1 The equation of a straight line in 3D is
x = mx z + bx
y = m
Image formation & processing
January 2010
Sunday, January 10, 2010
Image Formation
Geometry of image formation
(camera models and calibration)
where?
Radiometry of image formation
how bright?
2
Sunday, January 10, 2010
Digital images
Were interested
ECE 181b Homework 3
Image Rectication
April 20, 2006
The goal of this project is to explore some fundamental concepts of projective geometry
related to the problem of image rectication. We will rectify the image of one of the facades
of the Bren School of
CS/ECE 181b Spring 2006
Midterm Practice Problems
These problems are meant to give a sense of the type of problems that will be on the
midterm.
Answer the following questions clearly and completely to receive full credit. Provide full
analytical derivatio
Handout #1
Jan 04. 2010
CS/ECE 181B: Introduction to Computer Vision
Instructor: B. S. Manjunath. Rm 3157 Engr I; 893-7112; [email protected]
Teaching Assistants: Jim Kleban ([email protected]) and Ying-Yi Li ([email protected]).
Lectures:
Review of Topics
Midterm Exam on Thursday, Feb 11, 8am.
Wednesday, February 10, 2010
Image Formation: Summary
Projection Geometry - determines the position of a 3D point
in the image.
Perspective projection
approximations using
orthographic
projection
p
Linear Filtering
CS / ECE 181B
Ack: Prof. Matthew Turk for the slides
Monday, January 11, 2010
Linear Filtering
CS / ECE 181B
Today
Convolution, Fourier Transforms and
Correlation
Ack: Prof. Matthew Turk for the slides
Monday, January 11, 2010
Area opera
Week 4
CS/ECE 181B
SIFT
Scale Invariant Feature Transform
Lowe, David G. Distinctive Image Features from Scale Invariant Features, International
Journal of Computer Vision, Vol. 60, No. 2, 2004, pp. 91-110
Good software reference
http:/www.vlfeat.org/inde
Final Exam
ECE/CS 181b
June 12, 2008
Name:
This is a closed book/notes examination. Calculators
and other devices with memory are not allowed.
Instructions: All questions on this exam are weighted equally. To receive
full credit, answer the following ques
Image Recognition
Local or Global?
Tuesday, March 2, 2010
Project
Eigenfaces for Face Recognition
Bag of Features for Object Classication
Tuesday, March 2, 2010
Bag-of-features models
from Fei-Fei Li, Rob Fergus, and Antonio Torralba
Tuesday, March 2, 2
An Overview of Face Recognition Using
Eigenfaces
Acknowledgements: Original Slides from
Prof. Matthew Turk
- also notes from the web
-Eigenvalues and Eigenvectors
-PCA
-Eigenfaces
Eigenfaces
Monday, February 22, 2010
1
Outline
Why automated face recognit
Camera Models
Acknowledgements
Marc Pollefeys for some of the slides
Hartley and Zisserman: book figures from the web
Matthew Turk: for some of the slides
Spring 2006
Thursday, February 18, 2010
Camera Models
Single view geometry
A camera is a mapping bet
Epipolar Geometry
CS / ECE 181B
Chapter 9, Hartley & Zisserman
(available online free,
http:/www.robots.ox.ac.uk/~vgg/hzbook/hzbook1.html)
Spring 2006
Thursday, February 18, 2010
Stereo
Ack: M. Turk and M. Pollefeys
1
Seeing in 3D
Humans can perceive dep
Stereo matching
Stereo matching is the correspondence problem
For a point in Image #1, where is the corresponding point in
Image #2?
Thursday, February 18, 2010
Stereo matching
Stereo matching is the correspondence problem
For a point in Image #1, whe
Projective Transformations
Acknowledgements
Marc Pollefeys: for allowing the use of his excellent slides on this topic
http:/www.cs.unc.edu/~marc/mvg/
Richard Hartley and Andrew Zisserman, "Multiple View Geometry in Computer Vision"
Spring 2006
Friday, Fe
Projective geometry- 2D
Acknowledgements
Marc Pollefeys: for allowing the use of his excellent slides on this topic
http:/www.cs.unc.edu/~marc/mvg/
Richard Hartley and Andrew Zisserman, "Multiple View Geometry in Computer Vision"
Spring 2006
Wednesday, Fe
Final Review
6-6-06 (Starts on Slide 17)
CS/ECE 181b Midterm Review
May 11, 2006
1
Image Formation Projective Geometry Camera Models Stereo Edge Detection
Image Formation
Pinhole camera geometry
Perspective projection
Vanishing point
What is it? How
Shape from shading
Surface brightness and Surface Orientation -> Reflectance map READING: Nalwa Chapter 5 (pick up the handout from my office)
May 2006
SFS
1
Shading produces a compelling perception of 3-D shape. One way the brain simplifies the task of i
9
Epipolar Geometry and the Fundamental Matrix
The epipolar geometry is the intrinsic projective geometry between two views. It is independent of scene structure, and only depends on the cameras internal parameters and relative pose. The fundamental matri
ECE 181b
Homework 6
May 30, 2006
In this homework you will explore some of the properties of convolution and we will
look into some aspects of the principal components analysis. Henceforth we will adopt the
following conventions (READ CAREFULLY):
Boldfac
ECE 181b
Homework 6
May 26, 2006
In this homework you will explore some of the properties of convolution and we will
look into some aspects of the principal components analysis. Henceforth we will adopt the
following conventions (READ CAREFULLY):
Boldfac
ECE 181b Homework 4
Two View Geometry
May 5, 2006
In this homework you will explore the geometry of two views (focusing on the epipolar
constraint and the fundamental matrix) using the tools of projective geometry. Henceforth
we will adopt the following c
ECE 181b Homework 4
Two View Geometry
April 27, 2006
In this homework you will explore the geometry of two views (focusing on the epipolar
constraint and the fundamental matrix) using the tools of projective geometry. Henceforth
we will adopt the followin
HW #1
Binocular vision (seeing with two eyes) is critical to
human vision (and to most animals). I would like you to
think about the computational issues involved in seeing
with two eyes. Explain, in your own words, the problems
that the human brain need
Homework #1
We explore a little bit
about binocular vision
here. Binocular (twoeyes) vision is critical to
human vision, we all have
two eyes and we use it
to perceive depth. Have
you thought about what
needs to be done (by
the computing
machinery in our