Approximate Self-Affinity: Methodology and Remote Sensing Applications

It is already almost two decades since fractals [1] obtained their name and were developed from merely curious mathematical constructions into an important instrumentation for practically all natural and engineering sciences [2, 3, 4]. These advances were brought about by the efforts to model and characterize complex structures and processes which either cannot be approximated using Euclidean objects or such an approximation proves inefficient. To facilitate the discussion, consider an example taken from the remote sensing practice, see Fig. 1, where a laser profiler measured profile of cultivated soil [5, 6] is shown.

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