Abstract
Global geometric structure analysis plays an important role in computer vision and medical imaging. Human colon has complex geometric structures; colonic modeling has been the most challenging issue for computer aided detection and diagnosis (CADe and CADx). The increasing demand for colon modeling relies on the construction of an accurate endoscopy view for physician to locate polyps, precursors of colorectal cancer. This work focus on automatically locating the Teniae Coli, Haustral Folds and extracting centerline, which gives the global geometric structure of a colon wall surface anatomy. A series of algorithms based on geodesics and conformal flattening are proposed: auxiliary Riemannian metric algorithm for Teniae Coli tracking; geodesic clustering method for Haustral folding location; harmonic mass center method for centerline construction. Our method is fully automatic, accurate and robust. We tested our method on real colon surfaces reconstructed from CT images. The experimental results demonstrate the efficiency and efficacy of our method.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
The American Cancer Society: Colorectal cancer facts & figures 2011-2013 (2011)
Chen, J., Han, Y.: Shortest paths on a polyhedron. In: Proceedings of the Sixth Annual Symposium on Computational Geometry, SCG 1990, pp. 360–369 (1990)
Haker, S., Angenent, S., Tannenbaum, A., Kikinis, R.: Nondistorting flattening maps and the 3d visualization of colon ct images. IEEE Transactions on Medical Imaging 19, 665–670 (2000)
Hong, W., Gu, X., Qiu, F., Jin, M., Kaufman, A.: Conformal virtual colon flattening. In: ACM Symposium on Solid and Physical Modeling, pp. 85–94 (2006)
Huang, A., Roy, D., Franaszek, M., Summers, R.M.: Teniae coli guided navigation and registration for virtual colonoscopy. IEEE Visualization, 279–285 (2005)
Huang, A., Roy, D., Summers, R.M., Franaszek, M., Petrick, N., Choi, J., Pickhardt, P.: Tenniae coli-based circumferential localization system for ct colonography: Feasibility study. Radiology 243, 551–560 (2007)
Lamy, J., Summers, R.M.: Teniæ coli detection from colon surface: Extraction of anatomical markers for virtual colonoscopy. In: Bebis, G., et al. (eds.) ISVC 2007, Part I. LNCS, vol. 4841, pp. 199–207. Springer, Heidelberg (2007)
Liang, Z., Wang, S.: An em approach to map solution of segmenting tissue mixtures: A numerical analysis, vol. 28, pp. 297–310 (2009)
Micha, S., Amir, S.: On shortest paths in polyhedral spaces. In: Proceedings of ACM Symposium on Theory of Computing, STOC 1984, pp. 144–153 (1984)
Mitchell, J.S.B., Mount, D.M., Papadimitriou, C.H.: The discrete geodesic problem. SIAM J. Comput. 16(4), 647–668 (1987)
O’Rourke, J.: Computational Geometry in C, 2nd edn. Cambridge University Press, New York (1998)
Summers, R.M., Yao, J., Pickhardt, P.J., Franaszek, M., Bitter, I., Brickman, D., Krishna, V., Choi, J.R.: Computed tomographic virtual colonoscopy computer-aided polyp detection in a screening population. Gastroenterology 129, 1832–1844 (2005)
Hampshire, T., Roth, H.R., Helbren, E., Plumb, A., Boone, D., Slabaugh, G., Halligan, S., Hawkes, D.J.: Endoluminal surface registration for ct colonography using haustral fold matching. Medical Image Analysis 17(8), 946–958 (2013)
Wan, M., Liang, Z., Ke, Q., Hong, L., Bitter, I., Kaufman, A.: Automatic centerline extraction for virtual colonoscopy. IEEE Transactions on Medical Imaging 21, 1450–1460 (2002)
Wang, Z., Li, B., Liang, Z.: Feature-based texture display for detection of colonic polyps on flattened colon volume. In: Intl. Conf. of IEEE Engineering in Medicine and Biology (2005)
Xin, S.Q., Wang, G.J.: Improving chen and han’s algorithm on the discrete geodesic problem. ACM Trans. Graph. 28, 1–104 (2009)
Ge, Y., Stelts, D., Wang, J., Vining, D.: Computing the centerline of a colon: A robust and efficient method based on 3-d skeleton. Journal of Computer Assisted Tomography 23, 786–794 (1999)
Zeng, W., Marino, J., Chaitanya Gurijala, K., Gu, X., Kaufman, A.: Supine and prone colon registration using quasi-conformal mapping. IEEE Transactions on Visualization and Computer Graphics 16(6), 1348–1357 (2010)
Zhu, H., Barish, M., Pickhardt, P., Liang, Z.: Haustral fold segmentation with curvature-guided level set evolution. IEEE Transactions on Biomedical Engineering 60, 321–331 (2013)
Zhu, H., Li, L., Fan, Y., Lin, Q., Lu, H., Gu, X., Liang, Z.: Automatic teniae coli detection for computed tomography colonography. In: SPIE, Medical Imaging (2011)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Peng, H., Shi, R., Xin, S., Gu, X. (2013). Global Colon Geometric Structure Analysis Based on Geodesics and Conformal Flattening. In: Yoshida, H., Warfield, S., Vannier, M.W. (eds) Abdominal Imaging. Computation and Clinical Applications. ABD-MICCAI 2013. Lecture Notes in Computer Science, vol 8198. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41083-3_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-41083-3_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41082-6
Online ISBN: 978-3-642-41083-3
eBook Packages: Computer ScienceComputer Science (R0)