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Applications of topology for evaluating pictorial structures

Karsten Rodenacker
Forschungszentrum für Umwelt und Gesundheit GmbH
Institut für Strahlenschutz
Arbeitsgruppe Medizinphysik
D-8042 Neuherberg
Ingolstädter Landstr. 1


The direct application of methods derived from mathematical topology is outlined to obtain algorithmic and parameter-free definitions of image objects. Image objects are the starting point for any further evaluation say extraction of quantitative features. The hit-or-miss transformation well known from mathematical morphology is used to generate images, called ricefield images. These images contain, comparable with region growing algorithms, regions which correspond to topological properties like path connectedness and local extrema. Additionally neighborhood relations between such regions can be derived. The latter allows subsequent mathematical morphological processing on an elavated level of abstraction.

Wed Jan 24 11:02:38 MET 1996