Signal Enhancement Based on Hölder Regularity Analysis

  • J. Lévy Véhel
Part of the The IMA Volumes in Mathematics and its Application book series (IMA, volume 132)


We present an approach for signal enhancement based on the analysis of the local Hölder regularity. The method does not make explicit assumptions on the type of noise or on the global smoothness of the original data, but rather supposes that signal enhancement is equivalent to increasing the Hölder regularity at each point. Such a scheme is well adapted to the case where the signal to be recovered is itself very irregular, e.g. nowhere differentiate with rapidly varying local regularity. In particular, we show an application to SAR image denoising where this technique yields good results compared to other algorithms.


Original Signal Wavelet Coefficient Synthetic Aperture Radar Synthetic Aperture Radar Image Local Regularity 
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Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • J. Lévy Véhel
    • 1
  1. 1.Projet FractalesInriaLe Chesnay CedexFrance

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