Abstract
This paper presents a novel approach that three-dimensionally visualizes and evaluates stenoses in human coronary arteries by using harmonic skeletons. A harmonic skeleton is the center line of a multi-branched tubular surface extracted based on a harmonic function, which is the solution of the Laplace equation. This skeletonization method guarantees smoothness and connectivity and provides a fast and straightforward way to calculate local cross-sectional areas of the arteries, and thus provides the possibility to localize and evaluate coronary artery stenosis, which is a commonly seen pathology in coronary artery disease.
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
Fuster, V., Fayad, Z.A., Badimon, J.J.: Acute coronary syndromes: biology. Lancet 353 (suppl. 2), SII5–SII9 (1999)
Maddah, M., Soltanian-Zadeh, H., Afzali-Kusha, A.: Snake modeling and distance transform approach to vascular centerline extraction and quantification. Computerized Medical Imaging and Graphics 27, 503–512 (2003)
Wan, M., Liang, Z., Ke, Q., Hong, L., Bitter, I., Kaufman, A.: Automatic Centerline Extraction for Virtual Colonoscopy. IEEE Trans. on Med. Imag. 21, 1451–1460 (2002)
Zhou, Y., Toga, A.W.: Efficient Skeletonization of Volumetric Objects. IEEE Tran. on Visualization and Computer Graphics 3(5), 196–209 (1999)
Hong, L., Kaufman, A., Wei, Y., Viswambharan, A., Wax, M., Liang, Z.: 3D Virtual Colonoscopy. In: Proc. of IEEE Biomedical Visualization, pp. 26–32 (1995)
Haker, S., Sapiro, G., Tannenbaum, A.: Knowledge-Based Segmentation of SAR Data with learned Priors. IEEE Tran. on Image Processing 9(2), 299–301 (2000)
Yang, Y., Tannenbaum, A., Giddens, D.: Knowledge-Based 3D Segmentation and Reconstruction of Coronary Arteries Using CT Images. In: Proceedings of the 26th Annual International Conference of the IEEE EMBS, pp. 1664–1666 (2004)
Zhu, L., Haker, S., Tannenbaum, A.: Flattening Maps for the Visualization of Multi-branched Vessels. IEEE Trans. on Med. Imag. 24(2), 191–198 (2005)
Bouix, S., Siddiqi, K., Tannenbaum, A.: Flux Driven Automatic Centerline Extraction. Medical Image Analysis 9, 209–221 (2005)
Farlow, S.J.: Partial Differential Equations for Scientists and Engineers. Dover Publications, Inc., New York (1993)
Haker, S., Angenent, S., Tannenbaum, A., Kikinis, R.: Nondistorting flattening maps and the 3D visualization of colon CT images. IEEE Trans. Med. Imag. 19, 665–670 (2000)
Hughes, T.: The Finite Element Method. Upper Saddle River, NJ (1987)
Yezzi Jr., A.J., Prince, J.L.: An Eulerian PDE Approach for Computing Tissure Thickness. IEEE Trans. Med. Imag. 22(10), 1332–1339 (2003)
Press, W., Teukolsky, S., Vetterling, W., Flannery, B.: Numerical Recipes in C, 2nd edn. Cambridge Univ. Press, Cambridge (1992)
Kitware Inc., http://www.vtk.org
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yang, Y., Zhu, L., Haker, S., Tannenbaum, A.R., Giddens, D.P. (2005). Harmonic Skeleton Guided Evaluation of Stenoses in Human Coronary Arteries. In: Duncan, J.S., Gerig, G. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2005. MICCAI 2005. Lecture Notes in Computer Science, vol 3749. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11566465_61
Download citation
DOI: https://doi.org/10.1007/11566465_61
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29327-9
Online ISBN: 978-3-540-32094-4
eBook Packages: Computer ScienceComputer Science (R0)