Mathematical Analysis of Nanostructured Surfaces: The Period-Scale Transform

Figure 4

(a) A profile of a polymer surface etched in oxygen plasma treatment for 1 min. Notice the multiperiodic and multiscale profile morphology. (b) The PSD of the profile exhibiting five regions (A–E) with more or less well-distinguished peaks (or group of peaks) characterizing hidden periodicities in the profile and (c) the PST of the profile using as kernel a Gaussian pulse train. It reproduces the PSD information about existing periodicities (see periods of A–E peaks) while additionally it outputs the lateral scales corresponding to the features of the detected periodicities (see widths of A–E).

(a)

(b)

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