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Signal enhancement based on Hölder regularity analysis

Abstract : We present a 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 each point. Such a scheme is well adapted to the case where the signal to be recovered is itself very irregular, e.g. nowhere differentiable with rapidly varying local regularity. In particular, we show an application to SAR image denoting where this technique yields good results compared to other algorithms.
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https://hal.inria.fr/inria-00598355
Contributor : Lisandro Fermin Connect in order to contact the contributor
Submitted on : Monday, June 6, 2011 - 12:20:12 PM
Last modification on : Thursday, February 3, 2022 - 11:14:49 AM
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Jacques Lévy Véhel. Signal enhancement based on Hölder regularity analysis. Michael F. Barnsley, Dietmar Saupe, and Edward Vrscay. Fractals in Multimedia, 132, Springer Science and Business Media, pp.197-209, 2002, The IMA Volumes in Mathematics and its Applications. ⟨inria-00598355⟩

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