Wavelet despiking of fractographs, (with J.-M. Aubry), Wavelet Applications in Signal and Image Processing VIII (A. Aldroubi, A. F. Laine, and M. A. Unser, eds.), Proc. SPIE 4119, pp.853-860, 2000.


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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