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Positional accuracy improvement using empirical analytic functions / C. Lopez-Vasquez in Cartography and Geographic Information Science, vol 39 n° 3 (July 2012)  

Public [article]  inCartography and Geographic Information Science > vol 39 n° 3 (July 2012) . - pp 133 - 139 Titre : Positional accuracy improvement using empirical analytic functions Type de document : Article/Communication Auteurs : C. Lopez-Vasquez, Auteur Année de publication : 2012 Article en page(s) : pp 133 - 139 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Projections [Termes IGN] fonction analytique [Termes IGN] point d'appui [Termes IGN] positionnement par GNSS [Termes IGN] précision du positionnement [Termes IGN] projection conforme [Termes IGN] transformation de coordonnées Résumé : (Auteur) We define as Positional Accuracy Improvement the problem of putting together maps A and B of the same area, with B of higher planimetric accuracy. To do so, all objects in A might have to be slightly moved according to a mathematical transformation. Such transformation might ideally be of a specific type, like analytical or conformal functions. We have developed a theory to find a suitable analytical transformation despite it is not well defined because the only data available is the displacement vectors at a limited number of homologue control points. There exists a similar problem in fluid mechanics devoted on estimating the complete velocity field given just values at a limited number of points. We borrowed some ideas from there and introduced them into the positional accuracy improvement problem. We shall demonstrate that it is possible to numerically estimate an analytic function that resembles the given displacement at control points. As a byproduct, an uncertainty estimation is produced, which might help to detect regions of different lineage. The theory has been applied to rural 1:50.000 cartography of Uruguay while trying to diminish the discrepancies against GNSS readings. After the analytic transformation, the RMSE error diminished from 116m to 48 m. Other problems with similar math requirements are the transformation between geodetic control networks. Numéro de notice : A2012-490 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE/POSITIONNEMENT Nature : Article DOI : 10.1559/15230406393133 En ligne : https://doi.org/10.1559/15230406393133 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=31936 [article]

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