ETH :: D-MATH :: Fourier- und Wavelet Analysis

Since their original discovery in mid 80s in the processing of seismic data, wavelet transforms have become indispensable tools in engineering (signal and image processing and denoising, A/D conversion, MP-3, etc.), as well as in mathematics (harmonic analysis, function spaces, etc.), generalizing the classical Fourier transform methods.

This (pro-) seminar will allow students in the 3rd semester a first look at this fascinating and very lively area of applied and computational mathematics; you will need background from analysis and linear algebra as well as some numerical methods for it.

Literatur

[1] " Wavelets -- eine Einfuehrung", Ch. Blatter, 2. Aufl., Vieweg Publ., 2003.
[2] " Ten Lectures on Wavelets", Ingrid Daubechies, SIAM Books, 1992.
[3] "Image and Video Compression for Multimedia Engineering. Fundamentals, Algorithms and Standards" Yun Q. Shi & Huifang Sun, CRC Press, 2000.
[4] " Data Compression. The Complete Reference", David Salomon, Springer, 2006.

Besonderes

A student should take one particular topic, prepare a lecture, then write a more detailed description about it. An implementation in MatLab of a procedure, plus a description and lecture, would also be welcome.

Graduate students in applied math and RW/CSE are also invited, but more advanced material from them would be expected.

Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf
folgender Seite.

Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to a newer browser.
More information