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Wavelets and Image Processing

M. Unser

Special Session of the First 2002 SIAM Conference on Imaging Science (SIAG-IS'02), Boston MA, USA, March 4-6, 2002, Session MS1/MS8, pp. 32-33/37-38.



The past decade has seen an explosion in wavelet-related research. Wavelets are elegant mathematical tools and they have led to breakthroughs in image compression, filtering, and feature extraction. However, the activity taking place around them has been so intense that one may easily get the perception that the field is entirely saturated and that there is not much more that can be achieved. The purpose of this session is to demonstrate that this is indeed not the case—the papers have been selected to show that important developments are still taking place in image processing and that there are also many open issues. In particular, it is becoming more and more evident that the commonly-used separable wavelet transforms are not well suited for images. Thus, there is a strong motivation to search for better decompositions that can capture the directional nature of pictorial information; several such examples will be presented in the session. Another important point is to merge wavelet-techniques, which were initially conceived for dealing with deterministic signals, with sophisticated statistical models that provide powerful means for introducing a priori information. The session will host papers that illustrate the power of such model-based approaches.


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