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Characterization of Catchments Extracted From Multiscale Digital Elevation Models

In this paper, the characterization of catchments extracted from multiscale digital elevation models (DEMs) is performed. First, the lifting scheme is employed to generate multiscale DEMs. The catchments extracted from the generated multiscale DEMs are then characterized based on their numbers. A power law relationship is derived between the number of extracted catchments and the kernel size. The scaling exponent of this power law, which is named as a fractal dimension, indicates the rate of change of number of extracted catchments across multiple scales, which can be used to quantify terrain complexities.