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Metric details of topological line-line relations / K.A. Nedas in International journal of geographical information science IJGIS, vol 21 n° 1-2 (january 2007)  

Public [article]  inInternational journal of geographical information science IJGIS > vol 21 n° 1-2 (january 2007) . - pp 21 - 48 Titre : Metric details of topological line-line relations Type de document : Article/Communication Auteurs : K.A. Nedas, Auteur ; Max J. Egenhofer, Auteur ; D. Wilmsen, Auteur Année de publication : 2007 Article en page(s) : pp 21 - 48 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Bases de données localisées [Termes IGN] analyse discriminante [Termes IGN] données vectorielles [Termes IGN] intersection spatiale [Termes IGN] objet géographique linéaire [Termes IGN] relation topologique [Termes IGN] spatial metrics [Termes IGN] système d'information géographique Résumé : (Auteur) Many real and artificial entities in geographic space, such as transportation networks and trajectories of movement, are typically modelled as lines in geographic information systems. In a similar fashion, people also perceive such objects as lines and communicate about them accordingly as evidence from research on sketching habits suggests. To facilitate new modalities like sketching that rely on the similarity between qualitative representations, oftentimes multi-resolution models are needed to allow comparisons between sketches and database scenes through successively increasing levels of detail. Within such a setting, topology alone is sufficient only for a coarse estimate of the spatial similarity between two scenes, whereas metric refinements may help extract finer details about the relative positioning and geometry between the objects. The nine-intersection is a topological model that distinguishes 33 relations between two lines based on the content invariant (empty–non-empty intersections) among boundaries, interiors, and exteriors of the lines. This paper extends the nine-intersection model by capturing metric details for line–line relations through splitting ratios and closeness measures. Splitting ratios, which apply to the nine-intersection's non-empty values, are normalized values of lengths and areas of intersections. Closeness measures, which apply to the nine-intersection's empty values, are normalized distances between disjoint object parts. Both groups of measures are integrated into compact representations of topological relations, thereby addressing topological and metric properties of arbitrarily complex line–line relations. Copyright Taylor & Francis Numéro de notice : A2007-024 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE/INFORMATIQUE Nature : Article DOI : 10.1080/13658810600852164 En ligne : https://doi.org/10.1080/13658810600852164 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=28390 [article]

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