Local Modelling of the Fractal Dimension on Digital Elevation Models

Abstract

This study uses the box-counting method for local computation of the fractal dimension on a digital elevation model. The local method offers more detailed vertical ruggedness data than the global approach, providing deeper insight into surface structure. The work introduces an innovative local approach to determine the fractal dimension of surfaces and tests it on selected data samples. This work presents an effective geoscientific tool with potential cross-industry applications.