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Detection and analysis of landforms is a major problem in geoscience, including identifying and measuring the relative ages of earthquake fault scarps. Inverse methods using the diffusion equation have been applied to relatively date a wide range of landforms, including scarps (Hanks, 2000; Hilley, DeLong, Prentice, Blisniuk, & Arrowsmith, 2010), terraces (Avouac & Peltzer, 1993), and impact craters (Fassett & Thomson, 2014). Size (height) and relative age estimates from these techniques provide important constraints where instrumental or historic data may be sparse: for example, in a fault zone with a limited record of historic seismicity. Similar wavelet-based methods are widely used in geophysics and channel network analysis as feature extraction techniques (Lashermes, Foufoula-Georgiou, & Dietrich, 2007; Passalacqua, Tarolli, & Foufoula-Georgiou, 2010).

Scarplet: A Python package for topographic template matching and diffusion dating