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Delaunay triangulation structured kriging for surface interpolation / Yaron Felus in Surveying and land information science, vol 65 n° 1 (01/03/2005)
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Titre : Delaunay triangulation structured kriging for surface interpolation Type de document : Article/Communication Auteurs : Yaron Felus, Auteur ; A. Saaled, Auteur ; Burkhard Schaffrin, Auteur Année de publication : 2005 Article en page(s) : pp 27 - 36 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale
[Termes IGN] analyse comparative
[Termes IGN] Antarctique
[Termes IGN] champ géomagnétique
[Termes IGN] erreur moyenne quadratique
[Termes IGN] interpolation linéaire
[Termes IGN] krigeage
[Termes IGN] système d'information géographique
[Termes IGN] Triangulated Irregular Network
[Termes IGN] triangulation de DelaunayRésumé : (Auteur) Surface interpolation is an essential tool in surveying and geographical information systems projects. For example, given a list of observations (e.g. elevations, gravity or magnetic field values, and underground-water levels), a prediction of a value at an unobserved location is made. Surveyors and engineers commonly use Triangulated Irregular Network (TIN) based linear interpolation for surface interpolation. TIN interpolation is computationally very efficient, utilizing a Delaunay triangulation algorithm and simple mathematical function. However, the TIN method uses only three local data points. Therefore, it is often less accurate and will yield a higher Mean Square Prediction Error (MSPE). Kriging is a relatively new, accurate interpolation method which yields a smaller Mean Square Prediction Error (MSPE). Nevertheless, kriging is computationally inefficient and requires the inversion of an nxn matrix where n is the number of data points. A unique approach is presented here that combines these two techniques such that the Delaunay triangulation data-structure is used to determine the interpolation neighborhood of a kriging prediction process. The new TIN-based kriging algorithm is used to interpolate aeromagnetic data for a geographical information system developed in West Antarctica. A comparison is made between global kriging, TIN linear interpolation, and the TIN-structured kriging. Numéro de notice : A2005-284 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article DOI : sans Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=27420
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