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On the uncertainty of local shape of lines and surfaces / B. Schneider in Cartography and Geographic Information Science, vol 28 n° 4 (October 2001)  

Public [article]  inCartography and Geographic Information Science > vol 28 n° 4 (October 2001) . - pp 237 - 247 Titre : On the uncertainty of local shape of lines and surfaces Type de document : Article/Communication Auteurs : B. Schneider, Auteur Année de publication : 2001 Article en page(s) : pp 237 - 247 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Bases de données localisées [Termes IGN] discrétisation spatiale [Termes IGN] échelle cartographique [Termes IGN] interpolation spatiale [Termes IGN] modélisation spatiale [Termes IGN] précision de localisation Résumé : (Auteur) Modeling line or surface phenomena digitally involves two tasks : discretization of the phenomenon, which yields a finite set of data, and subsequent interpolation, which reconstructs the continuum. Many mathematical techniques exist for the latter task, and most methods require a number of parameters to be specified. The shape of digital line or surface models between the data points (that is, the local shape) and the information derived from these models both depend on the selected method and, possibly, on the specification of parameters. The reconstruction of the continuum thus introduces uncertainty. This paper examines the sources and effects of this type of uncertainty. For this purpose, the modeling of lines and surfaces is separated into an abstraction, an implementation, and measurement. The individual factors affecting uncertainty of local shape in each step are identified and discussed. The paper concludes that local shape uncertainty, unlike positional uncertainty of given data, cannot be numerically assessed. Instead, measures of plausibility have to be used to denote the quality of digital models of lines and surfaces. Finally, the concept and potential problems of future empirical investigations are discussed. Numéro de notice : A2001-161 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE/INFORMATIQUE Nature : Article DOI : 10.1559/152304001782152991 En ligne : https://doi.org/10.1559/152304001782152991 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=21856 [article]

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