Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2009-09-15
J. Stat. Mech. (2009) P09007
Physics
Condensed Matter
Disordered Systems and Neural Networks
12 pages, 5 figures, uses iopam.sty and setstack.sty, is published at IOP
Scientific paper
10.1088/1742-5468/2009/09/P09007
We present an advanced algorithm for the determination of watershed lines on Digital Elevation Models (DEMs), which is based on the iterative application of Invasion Percolation (IIP). The main advantage of our method over previosly proposed ones is that it has a sub-linear time-complexity. This enables us to process systems comprised of up to 10^8 sites in a few cpu seconds. Using our algorithm we are able to demonstrate, convincingly and with high accuracy, the fractal character of watershed lines. We find the fractal dimension of watersheds to be Df = 1.211 +/- 0.001 for artificial landscapes, Df = 1.10 +/- 0.01 for the Alpes and Df = 1.11 +/- 0.01 for the Himalaya.
Andrade Jose S. Jr.
da Cunha Sharon D.
da Silva Robert L.
Fehr E.
Herrmann Hans Jürgen
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