Spatial Numerosity: A Computational Model Based on a Topological Invariant
by ,
Abstract:
The estimation of the cardinality of objects in a spatial environment requires a high degree of invariance. Numerous experiments showed the immense abstraction ability of the numerical cognition system in humans and other species. It eliminates almost all structures of the objects and determines the number of objects in a scene. Based on concepts and quantities like connectedness and Gaussian curvature, we provide a general solution to this problem and apply it to the numerosity estimation from visual stimuli.
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PDF URL: http://dx.doi.org/10.1007/978-3-319-11215-2_17
Reference:
Spatial Numerosity: A Computational Model Based on a Topological Invariant (Tobias Kluth, Christoph Zetzsche), Chapter in Spatial Cognition IX, Springer Science + Business Media, 2014.
Bibtex Entry:
@InCollection{Kluth2014,
  author    = {Tobias Kluth and Christoph Zetzsche},
  title     = {Spatial Numerosity: A Computational Model Based on a Topological Invariant},
  booktitle = {Spatial Cognition {IX}},
  publisher = {Springer Science + Business Media},
  year      = {2014},
  pages     = {237--252},
  abstract  = {The estimation of the cardinality of objects in a spatial environment requires a high degree of invariance. Numerous experiments showed the immense abstraction ability of the numerical cognition system in humans and other species. It eliminates almost all structures of the objects and determines the number of objects in a scene. Based on concepts and quantities like connectedness and Gaussian curvature, we provide a general solution to this problem and apply it to the numerosity estimation from visual stimuli.},
  doi       = {10.1007/978-3-319-11215-2_17},
  url       = {10.1007/978-3-319-11215-2_17">http://dx.doi.org/10.1007/978-3-319-11215-2_17},
}