For these computations a specialize "Finite Volume" code is used that was developed and implemented at the ITWM
The author is also thankful to ITWM
for providing excellent facilities and data sets to complete this work.
We assessed the topological correctness of the skeleton by comparing the Euler number of the skeleton and the binarized image of the foam using the MAVI software package (Fraunhofer ITWM
This paper summarizes results of the projects KF 227 4801 RR9 and KF 228 2001 RR9 ParSiDi-3D, a cooperation between the Image Processing department of Fraunhofer ITWM
and RJL Micro&Analytic, funded by the German Federal Ministry of Economics and Technology.
and the C++ library MAVIlib created at Fraunhofer ITWM
, Department of Image Processing (2011).
The density of the Euler characteristic was estimated from the image data using the estimator proposed in Ohser and Schladitz (2009) which is implemented in the MAVI software package (Fraunhofer ITWM
, 2005); see Fig.
Diploma thesis, University of Mannheim, Fraunhofer ITWM
The algorithm presented in this section is the basis for the current labeling function in the commercial software MAVI (Fraunhofer ITWM
, Department of Image Processing, 2005).