user1232: I was quite surprised when I learned the fact that the MP3 codec is extensively based on the Fourier Transform. I'd like to learn more about these topics in general. When I say more I mean the working principles of these technologies.
For even more clarity, I would prefer something like this video produced by Xiph.org

user5142: If anyone else is interested, Coursera just started a "Fundamentals of Digital Image and Video Processing" in partnership with Northwestern University. From the syllabus, it looks like many relevant topics will be explored.
https://www.coursera.org/course/digital
The course started on March 31, 2014. Here is the general course outline:

Introduction, Image and Video Processing vs Image and Video
Analysis vs Computer Vision, the electromagnetic spectrum,
applications of image and video processing
2D and 3D signals and systems, linear and shift invariant systems (convolution) •    2D and 3D Fourier transform, 2D and 3D discrete-Fourier transform, uniform
sampling (rectangular, arbitrary geometry)
Motion estimation and
its applications 
Image and video enhancement (e.g., edge detection,
noise filtering, histogram equalization, inpainting)
Image recovery
(restoration, super-resolution)
Video recovery (restoration,
super-resolution)
Lossless compression
Image compression
techniques and standards
Video compression techniques and standards
Image and video analysis (e.g., 2D and 3D segmentation, anomaly
detection, clustering)
Sparsity-based advances in image and video
processing


user1532: Compression codecs and methods are also based extensively in the field of Psychoacoustics.  For this, I thoroughly recommend the books available from the Focal Press, such as this one

1232: <p>I was quite surprised when <a href="http://www.guardian.co.uk/technology/2002/apr/04/internetnews.maths">I learned</a> the fact that the MP3 codec is extensively based on the <a href="http://en.wikipedia.org/wiki/Fourier_transform">Fourier Transform</a>. I'd like to learn more about these topics in general. When I say more I mean the working principles of these technologies.</p>

<p>For even more clarity, I would prefer something like <a href="http://xiph.org/video/vid1.shtml">this video</a> produced by Xiph.org</p>
 5142: <p>If anyone else is interested, Coursera just started a "Fundamentals of Digital Image and Video Processing" in partnership with Northwestern University. From the syllabus, it looks like many relevant topics will be explored.</p>

<p><a href="https://www.coursera.org/course/digital" rel="nofollow">https://www.coursera.org/course/digital</a></p>

<p>The course started on March 31, 2014. Here is the general course outline:</p>

<ul>
<li>Introduction, Image and Video Processing vs Image and Video
Analysis vs Computer Vision, the electromagnetic spectrum,
applications of image and video processing</li>
<li>2D and 3D signals and systems, linear and shift invariant systems (convolution) •    2D and 3D Fourier transform, 2D and 3D discrete-Fourier transform, uniform
sampling (rectangular, arbitrary geometry)</li>
<li>Motion estimation and
its applications </li>
<li>Image and video enhancement (e.g., edge detection,
noise filtering, histogram equalization, inpainting)</li>
<li>Image recovery
(restoration, super-resolution)</li>
<li>Video recovery (restoration,
super-resolution)</li>
<li>Lossless compression</li>
<li>Image compression
techniques and standards</li>
<li><p>Video compression techniques and standards</p></li>
<li><p>Image and video analysis (e.g., 2D and 3D segmentation, anomaly
detection, clustering)</p></li>
<li>Sparsity-based advances in image and video
processing</li>
</ul>
 1532: <p>Compression codecs and methods are also based extensively in the field of Psychoacoustics.  For this, I thoroughly recommend the books available from the <a href="http://www.focalpress.com/audio.aspx" rel="nofollow">Focal Press</a>, such as <a href="http://textbooks.elsevier.com/web/product_details.aspx?isbn=9780240521756&amp;Search=978-0-240-52175-6&amp;SearchCriteria=Keyword" rel="nofollow">this one</a></p>
