In this note, we segment and topologically classify brain vessel data obtained from magnetic resonance angiography (MRA). The segmentation is done adaptively and the classification by means of cubical homology, i.e. the computation of homology groups. In this way the number of connected components (measured by H0), the tunnels (given by H1) and the voids (given by 2) are determined, resulting in a topological characterization of the blood vessels.

}, attachments = {http://wwwx.cs.unc.edu/~mn/sites/default/files/niethammer2002_ICIP_cubical_homology.pdf}, author = {Niethammer, M and A. N. Stein and Kalies, WD and P. Pilarczyk and Mischaikow, K and Tannenbaum, A} }