Origins of Order: Revealing Order
David Lynn, Emory UnversityJim Nagy, Emory Unversity
Katrina Palmer, Appalachian State University
Lisa Perrone, Tufts University
Can you tell what this image is? Roll your mouse over it to see the restored image.
Can you read this license plate? Can you read it after it has been restored? Roll over it and see!
Our research is image restoration, that is, we take blurred and noisy digital images
and use mathematics to make them clearer, like the examples above.
We have taught a 3-week unit about Image Restoration as a part of
freshman seminar. This web page contains the materials we used during the course.
Be sure to read the accompanying article
for suggestions on when to give examples/discussion beyond what's provided in the
documents below.
Convolution: Convolution is the mathematical operation that represents the
blurring process.
Introduction to Convolution Text
Introduction to Convolution Problems
Introduction to Convolution Lab Assignment
Convolution Text
Convolution Problems
Convolution Lab Assignment
Linear Algebra and Matlab: These handouts are used to help the students
learn the basics of Matlab and Linear Algebra.
Introduction to Matlab
More Matlab
Reading and Displaying Images in Matlab
Experimental Restorations: This contains problems to help restore a left-blurred
image (the license plate above is a left motion blur).
Deblurring Problems
Statistics: These handouts help with the basics of random numbers, probability
distributions and the Monte Carlo method.
Introduction to Random Numbers
Lab Assignment
References
[1] J. Nagy, K. Palmer, and L. Perrone.
[2] D. O'Leary and J. Nagy.
[3] Using Matlab, Version 6. The Math Works, Inc., 2003
[4] RestoreTools: An Object-Oriented Matlab Package for Image Restoration, 2002.
http://www.mathcs.emory.edu/~nagy/RestoreTools.
[5] M. Bertero and P. Boccacci.