HASSIP at NuHAG, University of Vienna

• HASSIP is the acronym for "Harmonic Analysis and Statistics for Signal and Image Processing purposes", the title of a European Union RTN network due to start in November 2002.


• NuHAG is the acronym for the "Numerical Harmonic Analysis Group" at the Department of Mathematics, University of Vienna.

The aim of the HASSIP network is to develop research activities and systematic interactions in areas of mathematical analysis and statistics directly connected to signal and image processing. While standard research is carried out at an international level at all participating institutions in cooperation with their individual partners the proposal is going for integration at a higher level. Thus it is one of the declared goals of HASSIP to shorten the development cycle for new algorithms by bringing together those who are involved in this process: the mathematicians and physicists working on the foundations (with view towards applications), the partners doing applied research (mostly engineering departments), are more experienced when it comes to implementations. High tech industry worldwide is in need for know-how and trained people in this area, and has shown very strong interest in our programme. The main research goal is therefore to improve the Link between the foundations and real word applications, by developing new nonstandard algorithms, by studying their behaviour on concrete tasks, and to look for innovative ways to circumvent shortcomings or satisfy additional request arising from the applications. In doing so we expect to stimulate research in this area and the interactions in theoretical and applied domain. From the mathematical point of view, the main areas involved are:

• (T1) Harmonic analysis, in particular time-frequency and time-scale analysis.
• (T2) Statistics, with a particular emphasis on statistical models for signals and images.
• (T3) Numerical analysis for signal processing applications.

The research activities of the network will be centered around a few selected applications:

• (A1) Audio signal modeling and compression.
• (A2) Image and video encoding and compression.
• (A3) Signal and image restoration and modification.

Hiring:  NuHAG is planning to hire (starting with December 2002) some PostDoc having some background in Numerical Harmonic Analysis. Please contact  Hans G. Feichtinger as soon as possible to "get on the list".

Of course we just need the "usual" data: a short curriculum vitae (preferably ASCII or TEX), topic of thesis and dates, WWW-homepage (if exists), previous work and interests, FAMILIARITY with MATLAB (resp. mathematical software and/or C++) will be an advantage in the selection process. Applicants have to be EU citizens which do not have Austrian citizenship or have been working in Austria for more than a year recently.

The PostDoc positions will be supported on the base of Marie Curie Fellowships.

Contributions of NuHAG in HASSIP

NuHAG intends to develop

• Time-frequency and Gabor analysis for music and audio signal processing (T1,T3,A1)
• Image processing and applications to MRI problems and art problems (A3)
• Generalizations of the coorbit-space theory for adaptive construction of frames in operator equation problems and signal processing on manifolds (T1,T3,A3)
•  
• ...
• NuHAG is open to possible interesting proposal of research from candidates for PostDoc positions, whenever they are close enough to the aim of the net and the NuHAG background ...

Among the partner, at the moment, we intend to collaborate in particular with

• Marseille (audio and signal processing)
• Cambridge (audio and signal processing)
• Marburg (adapted frames, coorbit-spaces theory and operator equations)
• Lausanne (image processing, frames on domains and applications to medical signal processing)
• ...
• NuHAG is open to possible interesting proposal of cooperation if the net from candidates for PostDoc positions, whenever they are close enough to the aim of the net and the NuHAG background ...

NuHAG expertise and publications

• Banach frames and coorbit-spaces theory: general papers.
• Gabor analysis: general papers, Gabor server publications, Gabor related books
  • Advances in Gabor Analysis
  • Gabor Analysis and Algorithms: Theory and Applications
  • K.Gröchenig: Foundations of Time-Frequency Analysis
  • R.Carmona, W.-L.Hwang, B.Torresani: Practical Time-Frequency Analysis. Academic Press 1998, ISBN 0-12-160170-6
  • F. Hlawatsch: Time-Frequency Analysis and Synthesis of Linear Signal Spaces: Time-Frequency Filters, Signal Detection and Estimation, and Range-Doppler Estimation. Kluwer, 1998, ISBN 0-7923-8131-9
  • B.Torresani: Analyse continue par ondelettes. EDP Sciences 1995
• Music and audio processing
  • M. Dörfler and H. G. Feichtinger: Quantitative Description of Expression in Performance of Music, Using Gabor Representations
    Proceedings of the Diderot Forum on Mathematics and Music, 1999, Vienna
  • M.Dörfler: Time-Frequency Analysis for Music Signals - a Mathematical Approach
    Journal of New Music Research, Vol 30/1, March 2001
  • P.J.Wolfe and M.Dörfler: Multi-Gabor Dictionaries for Audio Time-frequency analysis
    Proceedings of WASPAA 2001, Mohonk, USA, October 2001
• Image processing and applications in art restoration
• Software
• Tutorials: Irregular sampling problem, Introduction to Gabor analysis, 2D pattern matching and art restoration, Gabor frames for image compression (Gabor vs JPEG).

Links and Cooperating partners:

• ASSIP Workshop 'Application Of Time Frequency Analysis In Acoustics'
  April 26 to 29, 2005 Acoustics Research Institute, Vienna.

• An overview concerning HASSIP  is found at the HASSIP home-page  

• Up to the NuHAG homepage
• Up to the Faculty homepage
• Our cooperating partners :

  In HASSIP:

  • Laboratoire d'Analyse, Topologie et Probabilités, and Laboratoire de Mécanique et d'Acoustique, Marseille (local HASSIP page)
  • Numerical Harmonic Analysis Group, University of Vienna (local HASSIP page)
  • Electrical Engineering Department, University of Cambridge
  • FYMA, Institut de Physique Théorique, Université Catholique de Louvain
  • Laboratoire de Traitement du Signal and Biomedical Imaging Group, Ecole Polytechnique Fédéral de Lausanne
  • Mathematics Department, University of Bremen (local HASSIP page)
  • Mathematics Department, University of Marburg (local HASSIP page)
  • Institut für Biomathematik und Biometrie, at Gesellschaft für Strahlenschutz, Munich
  • Department of Electrical Engineering, Technion, Haifa

  
  

  HASSIP branches (official and inofficial cooperations):

  •  Helmut Bölcskei (ETH Zürich, Switzerland)   
  •  Otmar Scherzer (Dept. Comp. Sci., Univ. Innsbruck)
  •  F.Hlawatsch and Gerhard Matz  (Dept. Comm. Theory, TU Vienna)
  •  Acoustic Research Institute (ARI = Austrian Academy of Science)
• there is a more complete list of  cooperation partners
: among them
NSF Focused research group: Wavelets, Frames and Operator Theory
• you may want to contact Hans G. Feichtinger  directly via E-mail, for details

Last update  24.04.2005   hans.feichtinger@univie.ac.at