Abstract
A robust and efficient method for the segmentation of 3D structures in CT and MR images is presented. The proposed method is based on 3D ray propagation by mean shift analysis with a smoothness constraint. Specifically, ray propagation is used to guide an evolving surface due to its computational efficiency. In addition, non-parametric analysis and shape priors are incorporated to the proposed technique for robust convergence. Several examples are depicted to illustrate its effectiveness.
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
D. Adalsteinsson and J. Sethian. A fast level set method for propagating interfaces. J. Comput. Phys, 118:269–277, 1995.
J. Berkmann and T. Caelli. On the relationship between surface covariance and differential geometry.
M. Black, G. Sapiro, D. Marimont, and D. Heeger. Robust anisotropic diffusion. 7:421–432, 1998.
V. Caselles, F. Catte, T. Coll, and F. Dibos. A geometric model for active contours in image processing. TR No 9210, CEREMADE, 1992.
L. Cohen and I. Cohen. Finite element methods for active contour models and balloons for 2-d and 3-d images, 1993.
D. Comaniciu and P. Meer. Mean shift analysis and applications. In ICCV, pages 1197–1203, 1999.
D. Comaniciu and P. Meer. Mean shift: A robust approach toward feature space analysis. IEEE Trans. on PAMI, 24(5):To appear, 2002.
D. DeCarlo and D. N. Metaxas. Blended deformable models. IEEE Transactions on Pattern Analysis and Machine Intelligence, 18(4):443–448, 1996.
R. Malladi, J. A. Sethian, and B. C. Vemuri. Shape modelling with front propagation: A level set approach. IEEE Trans. on PAMI, 17, 1995.
T. McInerney and D. Terzopoulos. A dynamic finite element surface model for segmentation and tracking in multidimensional medical images with application to cardiac 4D image analysis. Comp. Med. Imaging and Graphics, 19:69–83, 1995.
P. Neskovic and B. B. Kimia. Three-dimensional shape representation from curvature-dependent deformations. TR-128, LEMS, Brown University, 1993.
S. Osher and J. A. Sethian. Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. of Comp. Phy, 79, 1988.
T. B. Sebastian, H. Tek, J. J. Crisco, S. W. Wolfe, and B. B. Kimia. Segmentation of carpal bones from 3d CT images using skeletally coupled deformable models. In MICCAI, pages 1184–1194, 1998.
J. A. Sethian. Level Set Methods and Fast Marching Methods. Cambridge University Press, Second Ed., New York, 1999.
K. Siddiqi, A. Tannenbaum, and S. Zucker. Area and length minimizing flows for image segmentation. IEEE Trans. Image Processing, 7:433–444, 1998.
H. Tek, D. Comaniciu, and J. Williams. Vessel detection by mean shift based ray propagation. In Work. on Math. Models in Biomedical Image Analysis, 2001.
H. Tek and B. B. Kimia. Volumetric segmentation of medical images by three-dimensional bubbles. CVIU, 64(2):246–258, February 1997.
D. Terzopoulos and D. Metaxas. models with local and global deformations: Deformable superquadrics. IEEE PAMI, vol. 13, no. 7, pp. 703–714, 1991., 1991.
C. Tomasi and R. Manduchi. Bilateral filtering for gray and color images. In ICCV, Bombay, India, pages 839–846, January 1998.
B. Vemuri, A. Mitiche, and J. Aggarwal. Curvature-based representation of objects from range data. Image and Vision Computing, 4:107–114, 1986.
R. Whitaker. Algorithms for implicit deformable models. In ICCV95, pages 822–827, 1995.
R. Whitaker, D. Breen, K. Museth, and N. Soni. Segmentation of biological volume datasets using a level set framework. Volume Graphics, pages 249–263, 2001.
C. Xu and J. Prince. Snakes, shapes, and gradient vector flow. IEEE Trans. Image Proc, pages 359–369, 1998.
A. Yezzi and S. Kichenassamy and A. Kumar and P. Oliver and A. Tannenbaum” A Geometric Snake Model for Segmentation of Medical Imagery IEEE Transactions on Medical Imaging, 16(2), 1997.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tek, H., Bergtholdt, M., Comaniciu, D., Williams, J. (2002). Segmentation of 3D Medical Structures Using Robust Ray Propagation. In: Dohi, T., Kikinis, R. (eds) Medical Image Computing and Computer-Assisted Intervention — MICCAI 2002. MICCAI 2002. Lecture Notes in Computer Science, vol 2488. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45786-0_71
Download citation
DOI: https://doi.org/10.1007/3-540-45786-0_71
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44224-0
Online ISBN: 978-3-540-45786-2
eBook Packages: Springer Book Archive