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  • In many GIS we can find tools for basic georelief analyses as the slope and orientation computation, including basic types of curvatures. For advanced terrain analyses are required layers computed from the 3rd partial derivatives. The computation of the 3rd partial derivatives is sensitive to input data (accuracy and smoothness of digital terrain model) and numerically instable and thus is not implemented in the most GIS. Within this article we introduce numerically stabile method for computation of the 3rd order partial derivatives using the weighted least square method (LSC). The most important contribution of this paper is introducing 8 various weights into the LSC evaluation of derivatives up to third order. We are testing 9 methods (unweighted LSC and 8 weights) on a model relief given as an analytical function. The test function is created so it emulates the behavior of a natural georelief.
  • In many GIS we can find tools for basic georelief analyses as the slope and orientation computation, including basic types of curvatures. For advanced terrain analyses are required layers computed from the 3rd partial derivatives. The computation of the 3rd partial derivatives is sensitive to input data (accuracy and smoothness of digital terrain model) and numerically instable and thus is not implemented in the most GIS. Within this article we introduce numerically stabile method for computation of the 3rd order partial derivatives using the weighted least square method (LSC). The most important contribution of this paper is introducing 8 various weights into the LSC evaluation of derivatives up to third order. We are testing 9 methods (unweighted LSC and 8 weights) on a model relief given as an analytical function. The test function is created so it emulates the behavior of a natural georelief. (en)
Title
  • Precise evaluation of partial derivatives as an advanced tool for terrain analysis
  • Precise evaluation of partial derivatives as an advanced tool for terrain analysis (en)
skos:prefLabel
  • Precise evaluation of partial derivatives as an advanced tool for terrain analysis
  • Precise evaluation of partial derivatives as an advanced tool for terrain analysis (en)
skos:notation
  • RIV/44555601:13520/11:43878488!RIV12-MSM-13520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
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
  • 222654
http://linked.open...ai/riv/idVysledku
  • RIV/44555601:13520/11:43878488
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • quality test.; 3rd order; partial derivation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [6869A25BDE80]
http://linked.open...v/mistoKonaniAkce
  • Ostrava
http://linked.open...i/riv/mistoVydani
  • Ostrava
http://linked.open...i/riv/nazevZdroje
  • GIS Ostrava 2011 : eight international symposium
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Kadlec, Martin
  • Pacina, Jan
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • Vysoká škola báňská - Technická univerzita Ostrava
https://schema.org/isbn
  • 978-80-248-2406-2
http://localhost/t...ganizacniJednotka
  • 13520
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