Histograms of Infinitesimal Neighbourhoods

Authors:
Lewis D. Griffin
Affiliations:
-
Venue:
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Year:
2001

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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.