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Scale dependence in terrain analysis

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  • Gallant, John C.
  • Hutchinson, Michael F.

Abstract

Topographic attributes computed from digital elevation models are dependent on the resolution of the elevation data from which they are computed. A regular rectangular grid is not an ideal representation of topographic surfaces for the study of scale effects. Spectral and wavelet techniques are obvious alternatives but have several deficiencies, particularly in their use of oscillatory basis functions. The positive wavelet representation has very attractive properties of localisation and feature representation. Preliminary application to one-dimensional topographic data (profiles) yields useful results, including the identification of changes in topographic structure with scale. Extension to two-dimensional analysis will allow quantification of characteristic shapes, scales and orientations in the landscape.

Suggested Citation

  • Gallant, John C. & Hutchinson, Michael F., 1997. "Scale dependence in terrain analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 43(3), pages 313-321.
  • Handle: RePEc:eee:matcom:v:43:y:1997:i:3:p:313-321
    DOI: 10.1016/S0378-4754(97)00015-3
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    Cited by:

    1. Nicholas Tate & Chris Brunsdon & Martin Charlton & A. Fotheringham & Claire Jarvis, 2005. "Smoothing/filtering LiDAR digital surface models. Experiments with loess regression and discrete wavelets," Journal of Geographical Systems, Springer, vol. 7(3), pages 273-290, December.

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