Announcements and Class Follow-up

Below is a link to material used in class. I also include expected future material if you want to prepare in advance.

Introduction to Imaging and Matlab

I attached the slides I used on the first class

We started Matlab reviews. You may find matlab demos in http://www.mathworks.com/products/matlab/demos.html (I will also hand in some stuff to you next week).

Some homework problems will be taken from Gonzalez and Woods book. You can view the webpage of this textbook. You may find there e.g. a solution to one of the coming homework problems.

A crash course on Matlab by Tobin Driscoll can be downloaded here

In addition to the posted matlab commands, you may find some matlab commands in here

We also discussed a recent news item and its data (number of bytes to store it and the 3 wavelengths: near-infrared, visible and near-ultraviolet)

SVD

For reading on SVD you may use the notes on SVD by Dan Kalman
or the relevant chapters in the following books
Demmel: Applied numerical linear algebra
Bau & Trefethen: Numerical linear algebra

You may view some useful demos for both eigenvectors and singular vectors

You may review a file with Matlab commands (in addition to posted commands).
You may obtain a broader prespective on PCA by reading section 2.1 of the following book

Correlation, Convolution and Filters in the Spatial Domain

You may review a file with Matlab commands (in addition to posted commands)
The slides I used in class are here
Notes on convolution and correlation are in here.
Correlation is also often referred to as cross-correlation
(note that both references above use a different definition of correlation than ours since they shift the first function/vector; we use the second function/vector as done in Matlab)

Another set of slides is in here

I attach a file explaining Fig 3.13 in the the slides above

Note the definition of correlation is slightly different in the book and cannot explain what is seen in Fig 3.13. Also note that the book is wrong saying that correlation is commutative

Some material on numerical differentiation can be found e.g. in here

See a file and another file with matlab commands (in addition to posted ones)

Fourier Transform, Fourier Series, Discrete Fourier Transform and Filters in the Frequency Domain

The attached file summarizes properties of the Fourier transform

The attached file summarizes properties of the Discrete Fourier transform
I also attach Matlab commands used in class.

A file explaining the Cooley-Tukey algorithm of last week is attached
Attached are slides used in class

Attached are slides1 and slides2 used in class

Attached are notes on Shannon sampling theorem and aliasing

Wavelets and More

Wavlets were taught in class (currently there is no supplementary material).

Additional material of interest:

Here are the slides of the talk by Bryan Poling on non-local means and BM3D

Attached are slides of Mark Iwen used in class

Attached are slides on filters

Back to Gilad Lerman's webpage
Back to current 5467 webpage