Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method

@article{Clarke1985ComputationOT,
  title={Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method},
  author={K. Clarke},
  journal={Computers \& Geosciences},
  year={1985},
  volume={12},
  pages={713-722}
}
  • K. Clarke
  • Published 1985
  • Mathematics
  • Computers & Geosciences
Abstract A new method is proposed to calculate the fractional (fractal) dimension of topographic surfaces. The method uses a three-dimensional geometric equivalent of the “walking dividers” method in two dimensions. that is it takes elevation values at the corners of squares, interpolates a center value, divides the square into four triangles, and then computes the surface areas of the tops of the prisms which result from raising the triangles to their given elevations. By repeating this… Expand
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