Abstract
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.
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© 2002 Springer-Verlag New York, Inc.
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Véhel, J.L. (2002). Signal Enhancement Based on Hölder Regularity Analysis. In: Barnsley, M.F., Saupe, D., Vrscay, E.R. (eds) Fractals in Multimedia. The IMA Volumes in Mathematics and its Application, vol 132. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9244-6_10
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DOI: https://doi.org/10.1007/978-1-4684-9244-6_10
Publisher Name: Springer, New York, NY
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