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Volume from Outlines on Terrains

Authors Marc van Kreveld, Tim Ophelders, Willem Sonke, Bettina Speckmann, Kevin Verbeek

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Author Details

Marc van Kreveld
  • Department of Information and Computing Sciences, Utrecht University, The Netherlands
Tim Ophelders
  • Department of Mathematics and Computer Science, TU Eindhoven, The Netherlands
Willem Sonke
  • Department of Mathematics and Computer Science, TU Eindhoven, The Netherlands
Bettina Speckmann
  • Department of Mathematics and Computer Science, TU Eindhoven, The Netherlands
Kevin Verbeek
  • Department of Mathematics and Computer Science, TU Eindhoven, The Netherlands

Funding

Marc van Kreveld, Tim Ophelders, Willem Sonke, Bettina Speckmann, and Kevin Verbeek are supported by the Netherlands Organisation for Scientific Research (NWO) under project no. 612.001.651 (M.v.K.), no. 639.023.208 (T.O., W.S., and B.S.), and no. 639.021.541 (K.V.).

Cite As Get BibTex

Marc van Kreveld, Tim Ophelders, Willem Sonke, Bettina Speckmann, and Kevin Verbeek. Volume from Outlines on Terrains. In 11th International Conference on Geographic Information Science (GIScience 2021) - Part I. Leibniz International Proceedings in Informatics (LIPIcs), Volume 177, pp. 16:1-16:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020) https://doi.org/10.4230/LIPIcs.GIScience.2021.I.16

Abstract

Outlines (closed loops) delineate areas of interest on terrains, such as regions with a heightened risk of landslides. For various analysis tasks it is necessary to define and compute a volume of earth (soil) based on such an outline, capturing, for example, the possible volume of a landslide in a high-risk region. In this paper we discuss several options to define meaningful 2D surfaces induced by a 1D outline, which allow us to compute such volumes. We experimentally compare the proposed surface options for two applications: similarity of paths on terrains and landslide susceptibility analysis.

Subject Classification

ACM Subject Classification
  • Information systems → Geographic information systems
  • Theory of computation → Computational geometry
Keywords
  • Terrain model
  • similarity
  • volume
  • computation

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