** Next:** Introduction

**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.

*iliad@ *

Wed Jan 24 11:02:38 MET 1996