Precise evaluation of partial derivatives as an advanced tool for terrain analysis

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13520%2F11%3A43878488" target="_blank" >RIV/44555601:13520/11:43878488 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Precise evaluation of partial derivatives as an advanced tool for terrain analysis

Popis výsledku v původním jazyce

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 the3rd 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 the3rd 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 LSCand 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.

Název v anglickém jazyce

Precise evaluation of partial derivatives as an advanced tool for terrain analysis

Popis výsledku anglicky

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 the3rd 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 the3rd 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 LSCand 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.

Druh

D - Stať ve sborníku

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

GIS Ostrava 2011 : eight international symposium

ISBN

978-80-248-2406-2

ISSN

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e-ISSN

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Počet stran výsledku

16

Strana od-do

69-84

Název nakladatele

Vysoká škola báňská - Technická univerzita Ostrava

Místo vydání

Ostrava

Místo konání akce

Ostrava

Datum konání akce

23. 1. 2011

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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