Abstract
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.
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Zagorchev, L., Oses, P., Zhuang, Z.W., Moodie, K., Mulligan-Kehoe, M., Simons, M., Couffinhal, T.: Micro computed tomography for vascular exploration. Journal of Angiogenesis Research 2(1), 7 (2010)
Lesage, D., Angelini, E., Bloch, I., Funka-Lea, G.: A review of 3D vessel lumen segmentation techniques: Models, features and extraction schemes. Med. Image Anal. 13(6), 819–845 (2009)
Szymczak, A., Stillman, A., Tannenbaum, A., Mischaikow, K.: Coronary vessel trees from 3d imagery: a topological approach. Med. Image Anal. 10(4), 548–559 (2006)
Lee, J., Beighley, P., Ritman, E., Smith, N.: Automatic segmentation of 3D micro-CT coronary vascular images. Med. Image Anal. 11(6), 630–647 (2007)
Wischgoll, T., Choy, J., Ritman, E., Kassab, G.: Validation of image-based method for extraction of coronary morphometry. Ann. Biomed. Eng. 36(3), 356–368 (2008)
Bauer, C., Pock, T., Sorantin, E., Bischof, H., Beichel, R.: Segmentation of interwoven 3d tubular tree structures utilizing shape priors and graph cuts. Med. Image Anal. 14(2), 172–184 (2010)
Bullitt, E., Aylward, S., Liu, A., Stone, J., Mukherji, S., Coffey, C., Gerig, G., Pizer, S.: 3D graph description of the intracerebral vasculature from segmented MRA and tests of accuracy by comparison with x-ray angiograms. In: Kuba, A., Sámal, M., Todd-Pokropek, A. (eds.) IPMI 1999. LNCS, vol. 1613, pp. 308–321. Springer, Heidelberg (1999)
Jomier, J., LeDigarcher, V., Aylward, S.: Automatic vascular tree formation using the mahalanobis distance. In: Duncan, J., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 806–812. Springer, Heidelberg (2005)
Murray, C.: The physiological principle of minimum work. I. The vascular system and the cost of blood volume. Proc. Natl. Acad. Sci. 12(3), 207–214 (1926)
Bruyninckx, P., Loeckx, D., Vandermeulen, D., Suetens, P.: Segmentation of liver portal veins by global optimization. In: Proc. of SPIE, vol. 7624, p. 76241Z (2010)
Jiang, Y., Zhuang, Z., Sinusas, A., Papademetris, X.: Vascular tree reconstruction by minimizing a physiological functional cost. In: CVPRW, pp. 178–185. IEEE (2010)
Vasko, F., Barbieri, R., Rieksts, B., Reitmeyer, K., Stott, K., et al.: The cable trench problem: combining the shortest path and minimum spanning tree problems. Comput. Oper. Res. 29(5), 441–458 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Jiang, Y., Zhuang, Z.W., Sinusas, A.J., Staib, L.H., Papademetris, X. (2011). Vessel Connectivity Using Murray’s Hypothesis. In: Fichtinger, G., Martel, A., Peters, T. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2011. MICCAI 2011. Lecture Notes in Computer Science, vol 6893. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23626-6_65
Download citation
DOI: https://doi.org/10.1007/978-3-642-23626-6_65
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23625-9
Online ISBN: 978-3-642-23626-6
eBook Packages: Computer ScienceComputer Science (R0)