Computational Harmonic Analysis – with Applications to Signal and Image Processing (1250)

Dates: 20-24 October 2014at CIRM (Marseille Luminy, France)

  • Mathematical and numerical aspects of frame theory
  • Time-frequency frames and applications to audio analysis
  • Wavelets, shearlets and geometric frames
  • Inverse problems and optimization

This winter school brought together PhD-students and young Postdocs (as well as a few experts) in the field of computational harmonic analysis, in order to explain the background and the efficiency as well as the range of applications of a number of numerical algorithms which are based on the Fourier-, the wavelet and the Short-Time Fourier Transform (Time-Frequency and Gabor Analysis), as well as other atomic decomposition techniques, in particular in higher dimensions (shearlets, curvelets,…).

There was a wide range of topics to be covered, from the theoretical background (from infinite-dimensional settings, expressed in terms of function spaces to finite dimensional situations) to the development of efficient algorithms and the real-world applications to music and sound processing or for image analysis tasks. Mathematically oriented lectures were complemented by practical computer sessions.

  • Sandrine Anthoine (CNRS, Aix-Marseille Université)
  • Caroline Chaux (CNRS, Aix-Marseille Université)
  • Monika Dörfler (NuHAG, University of Vienna)
  • Hans-Georg Feichtinger (NuHAG, University of Vienna)
  • Philipp Grohs (ETH, Zurich)
  • Nicki Holighaus (ARI Vienna)
  • Matthieu Kowalski (Université Paris-Sud Orsay)
  • Clothilde Mélot (Aix-Marseille Université)
  • Axel Obermeier (ETH Zurich)
  • Pierre Weiss (Université de Toulouse)