2011 | OriginalPaper | Chapter
Vessel Connectivity Using Murray’s Hypothesis
Authors : Yifeng Jiang, Zhen W. Zhuang, Albert J. Sinusas, Lawrence H. Staib, Xenophon Papademetris
Published in: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2011
Publisher: Springer Berlin Heidelberg
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We describe a new method for vascular image analysis that incorporates a generic physiological principle to estimate vessel connectivity, which is a key issue in reconstructing complete vascular trees from image data. We follow Murray’s hypothesis of the
minimum work principle
to formulate the problem as an optimization problem. This principle reflects a global property of any vascular network, in contrast to various local geometric properties adopted as constraints previously. We demonstrate the effectiveness of our method using a set of microCT mouse coronary images. It is shown that the performance of our method has a statistically significant improvement over the widely adopted minimum spanning tree methods that rely on local geometric constraints.