New efficient methods to calculate watersheds

Details New efficient methods to calculate watersheds New efficient methods to calculate watersheds

2009-09-15

arxiv.org/abs/0909.2780v1

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.

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