Graph cutting and its application to biological data
Ždímalová Mária,
Major Ján,
Kopáni Martin
Affiliations
Ždímalová Mária
Slovak University of Technology in Bratislava, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry, Radlinského 11, 813 68Bratislava, Slovakia
Major Ján
Slovak University of Technology in Bratislava, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry, Radlinského 11, 813 68Bratislava, Slovakia
Kopáni Martin
Comenius University in Bratislava, Medical Faculty, Institute of Medical Physics, Biophysics, Informatics and Telemedicine, Faculty of Medicine in Bratislava, Comenius University Sasinkova 2, 813 72Bratislava, Slovakia
In this paper we introduce the concept of segmentation based on mathematical approach using graph theory algorithms using the family of augmenting paths algorithms. We present a new program, an implementation, algorithms and obtained results devoted to segmentation of biomedical data. We implement our program for handling with segmentation, counting a measure of the existence of the minerals in the biomedical data. As a consequence we prove the existence of minerals in the data obtained from the brain of rabbits.