Fractographs are elevation maps of the fracture zone of some broken
material. The technique employed to create these maps (confocal laser
microscopy) often introduces noise composed of positive or negative `spikes'
that must be removed before further analysis. Since the roughness of these
maps contains useful information, it must be preserved. Consequently,
conventional denoising techniques cannot be employed. We use continuous and
discrete wavelet transforms of these images, and the properties of wavelet
coefficients related to pointwise Holder regularity, to detect and remove
the spikes.
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