Hierarchical segmentation of thin structures in volumetric medical images

Lecture Notes in Computer Science

Volumn 2879, Issue PART 2, 2003, Pages 562-569

  Holtzman Gazit, Michal ^a   Goldsher, Dorith ^a   Kimmel, Ron ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Active surfaces; Energy minimization; Level sets; PDEs; Segmentation; Variational methods

Indexed keywords

BLOOD VESSELS; BONE; ENERGY MANAGEMENT; HIERARCHICAL SYSTEMS; RADIOLOGY; SET THEORY; IMAGE SEGMENTATION; MEDICAL COMPUTING; NUMERICAL METHODS; OBJECT DETECTION;

ACTIVE SURFACES; ENERGY MINIMIZATION; LEVEL SETS; PDE; SEGMENTATION; VARIATIONAL METHODS; LEVEL SET; PDES;

MEDICAL IMAGING;

EID: 11244271433     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-39903-2_69     Document Type: Conference Paper

References (31)

1. D. Adalsteinsson and J.A. Sethian. A fast level set method for propagating interfaces. J. of Comp. Phys., 118:269-277, 1995.
2. J. Canny. A computational approach to edge detection. IEEE Trans. on PAMI, 8(6):679-698, 1986.
3. V. Caselles, F. Gatte, T. Coll, and F. Dibos. A geometric model for active contours. Numerische Mathematic,66:1-31, 1993.
4. V. Caselles, R. Kimmel, G. Sapiro, and C. Sbert. Minimal surfaces based object segmentation. IEEE Trans. on PAMI, 19(4):394-398, 1997.
5. V. Casseles, R. Kimmel, and G. Sapiro. Geodesic active contours. IJCV, 22(l):61-79, 1997.
6. T. Chan and L. Vese. Active contour and segmentation models using geometric PDE's for medical imaging. UCLA Computational and applied mathematics reports, December 2000.
7. T. Chan and L. Vese. Active contours without edges. IEEE Trans. on IP, 10(2):266-277, 2001.
8. D. L. Chopp. Computing minimal surfaces via level set curvature flow. J. of Computational Physics, 106(1):7791, May 1993.
9. C. A. Cocosco, V. Kollokian, R.K.S. Kwan, and A.C. Evans. Brainweb: Online interface to a 3D MRI simulated brain database. NeuroImage, vol.5, no.4, part 2/4, S425 in Proceedings of 3rd International Conference on Functional Mapping of the Human Brain, May 1997. Copenhagen, http://www.bic.mni.mcgill.ca/brainweb/.
10. L. D. Cohen and R. Kimmel. Global minimum for active contours models: A minimal path approach. IJCV, 24(1):57-78, 1997.
11. T. Deschamps. Curve and shape extraction with minimal path and level sets techniques. Applications to 3D medical imaging. PhD thesis, Univesity of Paris Daphine, 2001.
12. T. Deschamps and L.D. Cohen. Fast extraction of tubular and tree 3d surfaces with front propagation methods. In Proc. of 16th ICPR, 1:731 -734, August 2002.
13. R. Goldenberg, R. Kimmel, E. Rivlin, and M. Rudsky. Cortex segmentation - a fast variational geometric approach. IEEE Trans, on Medical Imaging, 21(2):1544-1551, 2002.
14. R. Goldenberg, R.Kimmel, E. Rivlin, and M.Rudsky. Fast geodesic active contours. IEEE Trans. on IP, 10(10): 1467-1475, 2001.
15. R. Haralik. Digital step edges from zero crossing of second directional derivatives. IEEE Trans. on PAMI, 6(l):58-68, January 1984.
16. M. Kass, A. Witkin, and D. Terozopolous. Snakes: Active contour models. IJCV, 1(4):321-331, 1988.
17. R. Kimmel. Fast edge integration. In S. Osher and N. Paragios, editors, Geometric Level Set Methods in Imaging, Vision and Graphics. Springler Verlag, 2002.
18. R. Kimmel and A.M. Bruckstein. Regularized laplacian zero crossings as optimal edge integrators. Proc. of Image and Vision computing, IVCNZ01, November 2001.
19. R. Kimmel and A.M. Bruckstein. On edge detection edge integration and geometric active contours. IEEE Trans. on PAMI, submitted.
20. L.M. Lorigo, O. Faugeras, W. Grimson, R. Keriven, R. Kikinis, C.F. Westin, and Ayra Nabavi. Codimention-two geodesic active contours for the segmentation of tubular structures. Proc. of CVPR, 2000.
21. T. Lu, P. Neittaanmaki, and X-C. Tai. A parallel splitting up method and its application for navier-stokes equations. Applied Mathematics Letters, 4(2):25-29, 1991.
22. R. Malladi and J.A. Sethian. An o(n log(n)) algorithm for shape modeling, in Proceedings of National Academy of Sciences, USA, 93:9389-9392, Sept 1996.
23. R. Malladi, J.A. Sethian, and B.C. Vermuri. Shape modeling with front propagation: A level set approach. IEEE Trans. on PAMI, 17(2):158-175, Feb. 1995.
24. T. McInerney and D. Terzopoulos. Topology adaptive deformable surfaces for medical image volume segmentation. IEEE Trans. on Medical Imaging, 18(10):840-850, October 1999.
25. D. Mumford and J. Shah. Optimal approximation by piecewise smooth functions and associated variational problems. Comm. Pure Applied Math, 42:577-685, 1989.
26. S.J. Osher and J. A. Sethian. Fronts propagating with curvature dependent speed: Algorithms based on hamilton jacobi formulations. Journal of Com. Phys., 79:12-49, 1988.
27. J. A. Sethian. Level Set Methods: evolving interfaces in geometry, fluid mechanics, computer vision, and materials science. Cambridge University Press, Cambridge, 1996.
28. A. Tsai, A. Yezzi, and A.S. Willsky. Curve evolution implementation of the mumford shah functional for image segmentation, denoising, interpolation and magnification. IEEE Trans. on IP, 10(8):1169-1186, 2001.
29. A. Vasilevskiy and K. Siddiqi. Flux maximizing geometric flows. IEEE Trans. on PAMI, 24(12): 1565-1578, December 2002.
30. J. Weickert, B.M. ter Haar Romeny, and M.A. Viergever. Effiecient and reliable scheme for nonlinear diffusion filtering. IEEE Trans. on IP, 7(3):398-410, 1998.
31. S. Zhu and A.Yuille. Region competition: Unifying snakes, region growing, energy/Bayes/MDL for multi-band image segmentation. IEEE Trans on PAMI, 19(9), 1996.