Visibility Relations. Fogliaroni, P. In Shekhar, S. & Xiong, H., editors, Encyclopedia of GIS, pages 1–8, Cham, 2015. Springer International Publishing.
Visibility Relations [link]Paper  doi  abstract   bibtex   
Visibility is the quality of an entity of being visible (i.e., perceivable to the human eye) and the expression of the predominant sense through which the majority of humans cognize space: the sense of sight. From a purely physical perspective, an entity is perceivable to the human eye if it emanates electromagnetic radiations with a wavelength comprised between approximately 400 and 700 nanometers—the so–called visible spectrum. While such a physical property assures the potentiality for an entity to be seen by a human observer, it is not enough to assure that an entity is actually seen. Indeed, the visibility of an entity also depends on the spatial dislocation of the entity itself with respect to a person (more generally another entity) observing a scene. In order to have full visibility on an entity, an observer must have a clear line of sight to the entity; that is, no third opaque entity should lie in between the observer and the observed entity. In this respect, visibility is a derivation of projective relations (Billen and Clementini, 2004, 2005, 2006) among three objects: an observed object (A) is visible from an observer (B) if it does not fall in the cone projected from an obstacle (C) and generated from the half–lines going from B to C.
@inproceedings{Fogliaroni2016Encyclopedia,
abstract = {Visibility is the quality of an entity of being visible (i.e., perceivable to the human eye) and the expression of the predominant sense through which the majority of humans cognize space: the sense of sight. From a purely physical perspective, an entity is perceivable to the human eye if it emanates electromagnetic radiations with a wavelength comprised between approximately 400 and 700 nanometers—the so–called visible spectrum. While such a physical property assures the potentiality for an entity to be seen by a human observer, it is not enough to assure that an entity is actually seen. Indeed, the visibility of an entity also depends on the spatial dislocation of the entity itself with respect to a person (more generally another entity) observing a scene. In order to have full visibility on an entity, an observer must have a clear line of sight to the entity; that is, no third opaque entity should lie in between the observer and the observed entity. In this respect, visibility is a derivation of projective relations (Billen and Clementini, 2004, 2005, 2006) among three objects: an observed object (A) is visible from an observer (B) if it does not fall in the cone projected from an obstacle (C) and generated from the half–lines going from B to C.},
address = {Cham},
author = {Fogliaroni, Paolo},
booktitle = {Encyclopedia of GIS},
doi = {10.1007/978-3-319-23519-6_1541-1},
editor = {Shekhar, Shashi and Xiong, Hui},
file = {:Users/tremity/Dropbox/0.CurrentWork/Research(dropbox)/Publications/Published/2016.EncyclopediaGIS/VisibilityRelations{\_}v2/visibility{\_}relations{\_}submission2.pdf:pdf},
pages = {1--8},
publisher = {Springer International Publishing},
title = {{Visibility Relations}},
url = {http://link.springer.com/10.1007/978-3-319-23519-6{\_}1541-1},
year = {2015}
}

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