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

Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Precise evaluation of partial derivatives as an advanced tool for terrain analysis
Original language description
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.
Czech name
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Czech description
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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