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Spatial Numerosity: A Computational Model Based on a Topological Invariant

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Spatial Cognition IX (Spatial Cognition 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8684))

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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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Author information

Authors and Affiliations

  1. Cognitive Neuroinformatics, University of Bremen, Enrique-Schmidt-Straße 5, 28359, Bremen, Germany

    Tobias Kluth & Christoph Zetzsche

Authors
  1. Tobias Kluth
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  2. Christoph Zetzsche
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Editor information

Editors and Affiliations

  1. Universität Bremen, Enrique-Schmidt-Str. 5, 28359, Bremen, Germany

    Christian Freksa  & Thomas Barkowsky  & 

  2. Department of Computer Science, Universität Freiburg, Georges-Köhler-Allee 52, 79110, Freiburg, Germany

    Bernhard Nebel

  3. University of California, 93106, Santa Barbara, CA, USA

    Mary Hegarty

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Kluth, T., Zetzsche, C. (2014). Spatial Numerosity: A Computational Model Based on a Topological Invariant. In: Freksa, C., Nebel, B., Hegarty, M., Barkowsky, T. (eds) Spatial Cognition IX. Spatial Cognition 2014. Lecture Notes in Computer Science(), vol 8684. Springer, Cham. https://doi.org/10.1007/978-3-319-11215-2_17

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  • DOI: https://doi.org/10.1007/978-3-319-11215-2_17

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11214-5

  • Online ISBN: 978-3-319-11215-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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