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Genauigkeit geometrischer Größen aus Vektordaten / F. Bethge (1997)

Public Titre : Genauigkeit geometrischer Größen aus Vektordaten Titre original : [Exactitude géométrique des grandeurs à partir de données vectorielles] Type de document : Thèse/HDR Auteurs : F. Bethge, Auteur Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 1997 Collection : DGK - C Sous-collection : Dissertationen num. 473 Importance : 92 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-7696-9513-7 Note générale : Bibliographie Langues : Allemand (ger) Descripteur : [Vedettes matières IGN] Bases de données localisées [Termes IGN] contour [Termes IGN] courbe plane [Termes IGN] discrétisation [Termes IGN] données vectorielles [Termes IGN] modèle stochastique [Termes IGN] modélisation 2D [Termes IGN] polygone [Termes IGN] primitive géométrique Résumé : (Auteur) This report is concerned with the geometrical accuracy of planar curves and derived quantities in the case of describing the curves by means of vector data. The research focusses on curved planar curves for which the accuracy is influenced not only by digitizing errors but also by the effects of the discretization. The key to the solution is given by an suitable model for planar curves. Instead of describing planar curves by the coordinates with respect to a given coordinate system one can also use a local system, which is defined by the tangent and normal directions of the curve in concerning points. In that case only the direction of the tangents has to be stored. This model is completed by the assumption that this so-called tangent angle function is an realization of an stationary and ergodic stochastic process. By use of this model results could be found for the positional accuracy, the accuracy of estimations of curvature and of line length and the accuracy of area of closed curves. It is possible to take into account digitizing errors as well as different kinds of discretization. The explorations are complemented by results for the accuracy of natural relief-dependend curves like contour lines or gradient lines. The reliability of the theoretical results has been confirmed by numerical experiments. Numéro de notice : 28016 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE/INFORMATIQUE Nature : Thèse étrangère Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=63363

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
28016-01	37.10	Livre	Centre de documentation	Géomatique	Disponible
28016-02	37.10	Livre	Centre de documentation	Géomatique	Disponible