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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
Abstract:
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.