An integral-geometric approach for the euler-Poincare characteristic of spatial images
The determination of the Euler-Poincare characteristic of a set can be based on observations of a digitized image of that set. In the present paper the correctness of the method is proved due to a strict integral-geometric approach. Our result also provides a link to the methods which are used in image analysis and are based on graph theory.
Nagel
W
Institute of Stochastics, Friedrich Schiller University of Jena, D-07740 Jena, Germany; Institute of Industrial Mathematics, Erwin-Schrodinger-Strasse, D-67663 Kaiserslautern, Germany; Institute of Materials Science, Dresden Univer.
Ohser
J
Pischang
K