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  • Finding which triangle in a planar or 2.5D triangle mesh contains a query point (so-called point location problem) is a frequent task in geosciences, especially when working with triangulated irregular network models. Usually, a large number of point locations has to be performed, and so there is a need for fast algorithms having minimal additional memory requirements and resistant to changes in the triangulation. So-called walking algorithms offer low complexity, easy implementation, and negligible additional memory requirements, which makes them suitable for such applications. In this article, we focus on these algorithms, summarize, and compare them with regard to their use in geosciences. Since such a summary has not been done yet, our article should serve those who are dealing with this problem in their application to decide which algorithm would be the best for their solution. Moreover, the influence of the triangulation type on the number of the visited triangles is discussed.
  • Finding which triangle in a planar or 2.5D triangle mesh contains a query point (so-called point location problem) is a frequent task in geosciences, especially when working with triangulated irregular network models. Usually, a large number of point locations has to be performed, and so there is a need for fast algorithms having minimal additional memory requirements and resistant to changes in the triangulation. So-called walking algorithms offer low complexity, easy implementation, and negligible additional memory requirements, which makes them suitable for such applications. In this article, we focus on these algorithms, summarize, and compare them with regard to their use in geosciences. Since such a summary has not been done yet, our article should serve those who are dealing with this problem in their application to decide which algorithm would be the best for their solution. Moreover, the influence of the triangulation type on the number of the visited triangles is discussed. (en)
Title
  • Walking algorithms for point location in TIN models
  • Walking algorithms for point location in TIN models (en)
skos:prefLabel
  • Walking algorithms for point location in TIN models
  • Walking algorithms for point location in TIN models (en)
skos:notation
  • RIV/49777513:23520/12:43915954!RIV13-GA0-23520___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0097), P(GAP202/10/1435), S
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 180694
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/12:43915954
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Point searching, Searching algorithms, Planar triangulation, TIN models, Terrain models (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [15C8D0D9ED43]
http://linked.open...i/riv/nazevZdroje
  • Computational Geosciences
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 16
http://linked.open...iv/tvurceVysledku
  • Kolingerová, Ivana
  • Málková, Martina
  • Soukal, Roman
issn
  • 1420-0597
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10596-012-9305-3
http://localhost/t...ganizacniJednotka
  • 23520
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