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Histograms of Infinitesimal Neighbourhoods

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Book cover Scale-Space and Morphology in Computer Vision (Scale-Space 2001)

Part of the book series: Lecture Notes in Computer Science 2106 ((LNCS,volume 2106))

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Abstract

Image analysis methods that use histograms defined over non-zerosized local neighbourhoods have been proposed [1-4]. To better understand such methods, one can study the histograms of infinitesimal neighbourhoods. In this paper we show how the properties of such histograms can be derived through limit arguments. We show that in many cases the properties of these histograms are given by simple expressions in terms of spatial derivatives at the point analyzed.

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Authors and Affiliations

  1. King’s College, London

    Lewis D. Griffin

Authors
  1. Lewis D. Griffin
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics & Computer Science, University of Richmond, Richmond, VA, 23173, USA

    Michael Kerckhove

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© 2001 Springer-Verlag Berlin Heidelberg

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Griffin, L.D. (2001). Histograms of Infinitesimal Neighbourhoods. In: Kerckhove, M. (eds) Scale-Space and Morphology in Computer Vision. Scale-Space 2001. Lecture Notes in Computer Science 2106, vol 2106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47778-0_30

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  • DOI: https://doi.org/10.1007/3-540-47778-0_30

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42317-1

  • Online ISBN: 978-3-540-47778-5

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