Global Topological Properties of Images Derived from Local Curvature Features

Authors:
Erhardt Barth;Mario Ferraro;Christoph Zetzsche
Affiliations:
-;-;-
Venue:
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Year:
2001

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Abstract

In this paper we show that all images are topologically equivalent. Nevertheless, one can define useful pseudotopological properties that are related to what is usually referred to as topological perception. The computation of such properties involves low-level structures, which correspond to end-stopped and dot-responsive visual neurons. Our results contradict the common belief that the ability for perceiving topological properties must involve higher-order, cognitive processes.