License:  Creative Commons Attribution 4.0 International license (CC BY 4.0)
 Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.GIScience.2021.II.10
URN: urn:nbn:de:0030-drops-147697
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/14769/
 
Acharyya, Ankush ; 
Jallu, Ramesh K. ; 
Löffler, Maarten ; 
Meijer, Gert G.T. ; 
Saumell, Maria ; 
Silveira, Rodrigo I. ; 
Staals, Frank 
Terrain Prickliness: Theoretical Grounds for High Complexity Viewsheds
Abstract
An important task in terrain analysis is computing viewsheds. A viewshed is the union of all the parts of the terrain that are visible from a given viewpoint or set of viewpoints. The complexity of a viewshed can vary significantly depending on the terrain topography and the viewpoint position.
In this work we study a new topographic attribute, the prickliness, that measures the number of local maxima in a terrain from all possible angles of view. We show that the prickliness effectively captures the potential of terrains to have high complexity viewsheds. We present near-optimal algorithms to compute it for TIN terrains, and efficient approximate algorithms for raster DEMs. We validate the usefulness of the prickliness attribute with experiments in a large set of real terrains.
BibTeX - Entry
@InProceedings{acharyya_et_al:LIPIcs.GIScience.2021.II.10,
  author =	{Acharyya, Ankush and Jallu, Ramesh K. and L\"{o}ffler, Maarten and Meijer, Gert G.T. and Saumell, Maria and Silveira, Rodrigo I. and Staals, Frank},
  title =	{{Terrain Prickliness: Theoretical Grounds for High Complexity Viewsheds}},
  booktitle =	{11th International Conference on Geographic Information Science (GIScience 2021) - Part II},
  pages =	{10:1--10:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-208-2},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{208},
  editor =	{Janowicz, Krzysztof and Verstegen, Judith A.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/14769},
  URN =		{urn:nbn:de:0030-drops-147697},
  doi =		{10.4230/LIPIcs.GIScience.2021.II.10},
  annote =	{Keywords: Digital elevation model, Triangulated irregular network, Viewshed complexity}
}