2007
DOI: 10.1007/978-3-540-74565-5_52
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A Qualitative Model for Visibility Relations

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Cited by 22 publications
(13 citation statements)
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“…Spatial operators that are invoked by functions can be distinguished in those already implemented in OGC standards, such as topological relations, Euclidean distance, set operations, convex hull, and many others, and those for which it does not exist a standard implementation: regarding this latter group, we implemented our own version of operators (some of them are listed in Table 1). For more information on spatial operators, it is possible to refer to the broad literature on them, such as topological relations [20,21], projective relations [22]- [26], directional relations [27], and visibility relations [28]- [31].…”
Section: B Methodologymentioning
confidence: 99%
“…Spatial operators that are invoked by functions can be distinguished in those already implemented in OGC standards, such as topological relations, Euclidean distance, set operations, convex hull, and many others, and those for which it does not exist a standard implementation: regarding this latter group, we implemented our own version of operators (some of them are listed in Table 1). For more information on spatial operators, it is possible to refer to the broad literature on them, such as topological relations [20,21], projective relations [22]- [26], directional relations [27], and visibility relations [28]- [31].…”
Section: B Methodologymentioning
confidence: 99%
“…For the sake of clarity, the point size is exaggerated Table 3 Summary of topological relations for all models and for all dimensions between simple objects Table 4 Number of topological relations between two complex spatial objects for the 9IM tion of few contributions about topological relations [34] and projective relations [16]. In urban applications, it is important to examine 3D objects that are anchored to the Earth's surface with an added vertical direction: work on visibility relations between such objects has been preliminary carried out in [41,43,64].…”
Section: Dimension Of the Embedding Spacementioning
confidence: 99%
“…The qualitative spatial aspect refers to changes in the qualitative spatial relations holding between a feature and its neighbors. According to Clementini (2013), qualitative spatial relations belong to one of three classes: topological (Egenhofer 1989;Randell and Cohn 1989;Tarquini and Clementini 2008), projective (Clementini et al 2010;Tarquini et al 2007;Fogliaroni and Clementini 2015;Billen and Clementini 2006, 2005b, 2005a, and metric (Hernández, Clementini, and Di Felice 1995;Moratz and Ragni 2008).…”
Section: Qualitative Spatial Aspectmentioning
confidence: 99%