Analysis of blood vessel topology by cubical homology
Analysis of blood vessel topology by cubical homology
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通过立方同调分析血管拓扑
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
A. Tannenbaum
中科院分区：
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作者：
K. Mischaikow;P. Pilarczyk;W. Kalies;M. Niethammer;Andrew Stein;A. Tannenbaum
我们对从磁共振血管造影（MRA）获得的脑血管数据进行分段和拓扑分类。自适应地进行分割，并通过立方同调（即同调群的计算）进行分类。这样连通分量的个数； （由 H/sub 0/ 测量）、隧道（由 H/sub 1/ 给出）和空隙（由 H/sub 2/ 给出）被确定，从而得出血管的拓扑特征。
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 H/sub 0/), the tunnels (given by H/sub 1/) and the voids (given by H/sub 2/) are determined, resulting in a topological characterization of the blood vessels.