Signal Enhancement Based on Hölder Regularity Analysis
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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