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Wavelets and Sparsity
Summer Term 2014
Wavelets and Sparsity
Announcements – Description – Prerequisites – Lecture Notes – Assignments – Exams – Registration Literature
The wavelet transform allows us to represent data in a more suitable "basis". The resulting wavelet coefficients yield interesting ways to analyze and manipulate the data, e.g., compression (JPEG2000), multiscale analysis of seismic data, image denoising and inpainting. A central theme is that the given data is efficiently encoded in only relatively few wavelet coefficents ("sparsity"). We discuss not only the basic theory of the continuous and discrete wavelet transform but also algorithms and applications in image processing.
Undergraduate knowledge in mathematics (e.g. ''Mathematik für Informatiker I-III''). It is assumed, that basic concepts from real analysis and linear algebra are known. The lectures will be given in English.
The slides from the lecture will usually be uploaded here shortly
after the lecture. Nevertheless, Students are encouraged to visit
the lecture, as supplementary useful results might be given in the
lecture that do not figure on the slides. CDF files can be opened with the CDF-Player from Wolfram, which is freely available from here.
Homework will be assigned bi-weekly. To qualify for the exam you need 50% of the points from these assignments. Submission in groups of at most 2 people is recommended. The admission to the exam is valid for both exams. Everybody who is admitted to the first exam is automatically admitted to the second exam, too.
There will be two exams. The first one will be on July 24th, 2014 from 16:00-18:00 in Building E 1.3, HS 001. The second exam will take place on October 2nd, 2014 from 14:00-16:00 in E1.3 HS 001. These will be closed books exams lasting 2 hours. People admitted to the exams are allowed to participate in both exams. The better grade counts.
In order to register for the Lecture, write an e-mail to Laurent Hoeltgen. The subject line must begin with the tag [WS14]. Further, please provide the following information: first name, last name, date of birth, student ID number (e.g. Matrikel), course of study (e.g. Bachelor, Master, ...), subject of your studies (e.g. computer science, mathematics, ...). These information are necessary to give you credit points for a successful participation in the lecture at the end of the semester. Please ensure that the provided information is correct. Note that the e-mail address from which you send this information will be used to provide you with urgent information concerning the lecture. Therefore, use an address, that you check regularly. Finally, this registration is for internal purposes at our chair only and completely independent of any System like LSF/Hispos. They require a separate registration.
No textbook is required for this course. Examples of books giving background material and further reading are:
These books are also available in the library. See here for the exact locations of the books in the library.
Last change: Laurent Hoeltgen, 16.04.2014