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Relating Hill-Shading to Terrain Metrics

Nathaniel V. KELSO
October 17, 2013
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Relating Hill-Shading to Terrain Metrics

Patrick Kennelly – LIU Post
James Stewart – Queens University

Nathaniel V. KELSO

October 17, 2013
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  1. CIE Sky Models ò  Directional ò  Uniform ò  Overcast ò 

    Non-Directional ò  Clear ò  Sharp ò  Turbid ò  General (1 – 15) Background Objectives Methodology Results Summary
  2. CIE Sky Models Background Objectives Methodology Results Summary Directional Non-Directional

    Uniform Overcast Sky Point Source Sharp + Diffuse Sharp Clear Day ✔ ✔ ✔
  3. Objectives ò  Allow GIS users to hill-shade terrain maps using

    models in addition to point source illumination. ò  Use well-established sky models in a rigorous manner for hill-shading. ò  Understand which sky models are most useful for various types of terrain or landforms. Background Objectives Methodology Results Summary
  4. PC Application Background Objectives Methodology Results Summary User defined variables:

    Ø Sky model (from a list) Ø Azimuth (if directional) Ø Inclination (if directional) Ø Sharpness of illumination (if Sharp) Ø Diffuse lighting (if Sharp) Ø Number of points with which to sample the sky
  5. Methodology ò  Begin with large number of sky sample points

    of equal azimuth spacing for equal increments of inclination. ò  Sky radiance for each sample point is computed. ò  Radiance values of sample points are divided into a given number of standard deviations, each representing a strata. ò  Each stratum allocated approximately the same number of illumination vectors. ò  Illumination vectors iteratively chosen to maximize angular distance from all previously chosen directions. Background Objectives Methodology Results Summary
  6. Output List & Python Script Azimuth, Inclination and Weight Weights

    and sums hill-shaded grids Background Objectives Methodology Results Summary
  7. Hill-Shaded Grids Weighted and Summed x W1 x W2 x

    W3 x W4 x W5 + + + + + Background Objectives Methodology Results Summary
  8. Summary ò  CIE sky models can be rigorously implemented in

    GIS using output from a PC application develop by the authors. ò  Hill-shading with sky models reveals details of terrain that can be lost in shadows, dark shading, or strongly illuminated terrain. ò  Directional sky models preserve the three-dimensional appearance of terrain with predominantly positive relief. ò  Non-directional sky models allow more light to illuminate the depths of dissected terrain such as canyons. Background Objectives Methodology Results Summary
  9. Beta Application Download and Additional Information ò  Application download: ò 

    http://watkins.cs.queensu.ca/~jstewart/SkyLum.zip ò  Upcoming publication: ò  Kennelly, P. and J. Stewart. General Sky Models for Illuminating Terrains. Accepted by the International Journal of Geographical Information Science. DOI: 10.1080/13658816.2013.848985 (not yet activated) Background Objectives Methodology Results Summary