A 2D moving grid geometric deformable model

Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition

Volumn 1, Issue , 2003, Pages

  Han, Xiao ^a   Xu, Chenyang ^b   Prince, Jerry L ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b SIEMENS CORPORATE RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BIOMEDICAL ENGINEERING; COMPUTATIONAL GEOMETRY; DATA STRUCTURES; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; SET THEORY;

ADAPTIVE GRID TECHNIQUES; GEOMETRIC DEFORMABLE MODEL; LOCAL GRID REFINEMENT; MOVING GRID METHOD;

IMAGE SEGMENTATION;

EID: 0042440704     PISSN: 10636919     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (31)

1. A. Yezzi, S. Kichenassamy, P. Olver, and A. Tannenbaum. A geometric snake models for segmentation of medical imagery. IEEE Trans. Med. Imaging, 16:199-209, 1997.
2. B. Milne. Adaptive Level Set Methods Interfaces. Ph.D dissertation, Dept. of Math., UC Berkeley, 1995.
3. C. Xu, A. Yezzi, and J. L. Prince. On the relationship between parametric and geometric active contours. In The 34th Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, USA, 2001.
4. C. Xu and J. L. Prince. Snakes, shapes, and gradient vector flow. IEEE Trans. Imag. Proc., 7:359-369, 1998.
5. D. Adalsteinsson and J. A. Sethian. A fast level set method for propagating interfaces. J. Comput. Phys., 118:269-277, 1995.
6. D. L. Chopp. Computing minimal surfaces via level set curvature flow. J. Comput. Phys., 106:77-91, 1993.
7. D. Peng, B. Merriman, S. Oscher, H. Zhao, and M. Kang. A PDE-based fast local level set method. J. Comput. Phys., 155:410-438, 1999.
8. D. Terzopoulos and M. Vasilescu. Sampling and reconstruction with adaptive meshes. In Proc. CVPR'91, pages 70-75, Lahaina, HI, 1991.
9. G. Liao, F. Liu, G. de la Pena, D. Peng, and S. Osher. Level-set-based deformation methods for adaptive grids. J. Comput. Phys., 159:103-122, 2000.
10. G. Liao, G. de la Pena, and G. Liao. A deformation method for moving mesh generation. In Proc. 8th Intl. Meshing Roundtable, pages 155-162, South Lake Tahoe, CA, 1999.
11. G. Liao, T. Pan, and J. Shu. Numerical grid generator based on Moser's deformation method. Numer. Meth. Part. Diff. Eq., 10:21-31, 1994.
12. J. A. Sethian. Level Set Methods and Fast Marching Methods. Cambridge University Press, Cambridge, UK, 2 edition, 1999.
13. J. A. Sethian and A. Vladimirsky. Ordered upwind methods for static Hamilton-Jacobi equations. Proc. Natl. Acad. Sci., 98(20):11069-11074, 2001.
14. K. Siddiqi, Y. B. Lauziere, A. Tannenbaum, and S. W. Zucker. Area and length minimizing flow for shape segmentation. IEEE Trans. Image Proc., 7:433-443, 1998.
15. L. D. Cohen. On active contour models and balloons. CVGIP: Image Understanding, 53:211-218, 1991.
16. M. Droske, B. Meyer, C. Schaller, and M. Rumpf. An adaptive level set method for medical image segmentation. In M. F. Insana and R. M. Leahy, editors, Proc. IPMI 2001, LNCS 2082, pages 416-422. Springer Verlag, 2001.
17. M. Kass, A. Witkin, and D. Terzopoulos. Snakes: Active contour models. Int. J. Comp. Vision, 1:312-333, 1988.
18. M. Sussman, A. S. Almgren, J. B. Bell, P. Colella, L. H. Howell, and M. L. Welcome. An adaptive level set approach for incompressible two-phase flow. J. Comput. Phys., 148:81-124, 1999.
19. M. Vasilescu and D. Terzopoulos. Adaptive meshes and shells. In Proc. CVPR'92, pages 829-832, Champaign, IL, 1992.
20. P. Bochev, G. Liao, and G. dela Pena. Analysis and computation of adaptive moving grids by deformation. Numer. Meth. Part. Diff. Eq., 12:489-506, 1996.
21. P. Knupp and S. Steinberg. Fundamentals of Grid Generation. CRC Press, Boca Raton, FL, 1994.
22. R. Malladi, J. A. Sethian, and B. C. Vemuri. Shape modeling with front propagation: A level set approach. IEEE Trans. PAMI, 17:158-175, 1995.
23. S. Osher and C. Shu. Efficient implementation of essentially non-oscillatory shock-capturing schemes, II. J. Comput. Phys., 83:32-78, 1989.
24. T. Y. Kong and A. Rosenfeld. Digital topology: Introduction and survey. CVGIP: Image Understanding, 48:357-393, 1989.
25. V. Caselles, F. Catte, T. Coll, and F. Dibos. A geometric model for active contours in image processing. Numerische Mathematik, 66:1-31, 1993.
26. V. Caselles, R. Kimmel, and G. Sapiro. Geodesic active contours. Int J. Computer Vision, 22:61-79, 1997.
27. W. A. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. Numerical Reciples in C. Cambridge University Press, New York, NY, 2 edition, 1995.
28. X. Han, C. Xu, D. Tosun, and J. L. Prince. Cortical surface reconstruction using a topology preserving geometric deformable model. In Proc. MMBIA 2001, pages 213-220, Kauai, HI, 2001.
29. X. Han, C. Xu, and J. L. Prince. A topology preserving level set method for geometric deformable models. IEEE Trans. PAMI, to appear.
30. X. Han, C. Xu, and J. L. Prince. A topology preserving deformable model using level set. In Proc. CVPR 2001, volume II, pages 765-770, Kauai, HI, 2001.
31. Y. R. Tsai, L. Cheng, S. Osher, and H. Zhao. Fast sweeping algorithms for a class of Hamilton-Jacobi equations. Technical Report UCLA-CAM-01-27, Institute for Pure and Applied Mathemtics (IPAM), UCLA, 2001.