An active contour model for image segmentation based on elastic interaction

Journal of Computational Physics

Volumn 219, Issue 1, 2006, Pages 455-476

  Xiang, Yang ^a   Chung, Albert C S ^a   Ye, Jian ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Active contour; Edge based; Elastic interaction; Level set method; Segmentation

Indexed keywords

BLOOD VESSELS; FAST FOURIER TRANSFORMS; MEDICAL IMAGING; NUMERICAL METHODS; OBJECT DETECTION;

ACTIVE CONTOUR METHOD; ACTIVE CONTOURS; ACTIVE CONTOURS MODEL; EDGE-BASED; ELASTIC INTERACTIONS; IMAGES SEGMENTATIONS; LEVEL SET METHOD; OVERLAPPING REGIONS; REGION-BASED; SEGMENTATION;

IMAGE SEGMENTATION;

EID: 33750424558     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.03.026     Document Type: Article

References (43)

1. Kass M., Witkin A., and Terzopoulos D. Snakes: Active contour models. Int. J. Comput. Vision 1 (1988) 321-331
2. Cohen L.D. On active contour models and balloons. Computer Vision, Graphics, and Image Processing: Image Understanding 53 (1991) 211-218
3. Cohen L.D., and Cohen I. Finite-element methods for active contour models and balloons for 2-D and 3-D images. IEEE Trans. Pattern Anal. Machine Intell. 15 (1993) 1131-1147
4. Caselles V., Catte F., Coll T., and Dibos F. A geometric model for active contours in image processing. Numer. Math. 66 (1993) 1-31
5. Malladi R., Sethian J.A., and Vemuri B.C. Shape modeling with front propagation: a level set approach. IEEE Trans. Pattern Anal. Machine Intell. 17 (1995) 158-175
6. Osher S., and Sethian J.A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12-49
7. V. Caselles, R. Kimmel, G. Sapiro, Geodesic active contours, in: Proc. Int. Conf. Computer Vision, Boston, USA, 1995, pp. 694-699.
8. S. Kichenassamy, A. Kumar, P. Olver, A. Tannenbaum, A. Yezzi, Gradient flows and geometric active contour models, in: Proc. Int. Conf. Computer Vision, Boston, USA, 1995, pp. 810-815.
9. Caselles V., Kimmel R., and Sapiro G. Geodesic active contours. Int. J. Comput. Vision 22 (1997) 61-79
10. Siddiqi K., Lauziere Y.B., Tannenbaum A., and Zucker S.W. Area and length minimizing flows for shape segmentation. IEEE Trans. Image Processing 7 (1998) 433-443
11. Park H., Schoepflin T., and Kim Y. Active contour model with gradient directional information: directional snake. IEEE Trans. Circuits Syst. Video Technol. 11 (2001) 252-256
12. Jacob M., Blu T., and Unser M. Efficient energies and algorithms for parametric snakes. IEEE Trans. Image Processing 13 (2004) 1231-1244
13. Xu C., and Prince J.L. Snakes, shapes, and gradient vector flow. IEEE Trans. Image Processing 7 (1998) 359-369
14. Xu C., and Prince J.L. Generalized gradient vector flow external forces for active contours. Signal Processing 71 (1998) 131-139
15. Paragios N., Mellina-Gottardo O., and Ramesh V. Gradient vector flow fast geometric active contours. IEEE Trans. Pattern Anal. Machine Intell. 26 (2004) 402-407
16. T.F. Chan, L.A. Vese, An active contour model without edges, in: M. Nielsen, P. Johansen, O.F. Olsen, J. Weickert (Eds.), Scale-Space Theories in Computer Vision, 1682, 1999, pp. 141-151.
17. Chan T.F., and Vese L.A. Active contours without edges. IEEE Trans. Image Processing 10 (2001) 266-277
18. Chan T.F., Sandberg B.Y., and Vese L.A. Active contours without edges for vector-valued images. Journal of Visual Communication and Image Representation 11 (2000) 130-141
19. Vese L.A., and Chan T.F. A multiphase level set framework for image segmentation using the Mumford and Shah model. Int. J. Comput. Vision 50 (2002) 271-293
20. Mumford D., and Shah J. Optimal approximations by piecewise smooth functions and associated variational problems. Comm. Pure Appl. Math. 42 (1989) 577-685
21. Ronfard R. Region-based strategies for active contour models. Int. J. Comput. Vision 13 (1994) 229-251
22. Zhu S.C., and Yuille A. Region competition: unifying snakes, region growing, and Bayes/MDL for multiband image segmentation. IEEE Trans. Pattern Anal. Machine Intell. 18 (1996) 884-900
23. O. Amadieu, E. Debreuve, M. Barlaud, G. Aubert, Inward and outward curve evolution using level set method, in: Proceedings of 1999 International Conference on Image Processing, 1999, pp. 188-192.
24. A. Yezzi, A. Tsai, A. Willsky, Medical image segmentation via coupled curve evolution equations with global constraints, IEEE Workshop on Mathematical Methods in Biomedical Image Analysis, 2000, pp. 12-19.
25. J. Lie, M. Lysaker, X.C. Tai, A variant of the level set method and applications to image segmentation, Math. Comp., in press.
26. J. Ivins and J. Porrill, Statistical snakes: active region models, in: Fifth British Machine Vision Conference, 1994, pp. 377-386.
27. Chakraborty A., Staib L.H., and Duncan J.S. Deformable boundary finding in medical images by integrating gradient and region information. IEEE Trans. Med. Imag. 15 (1996) 859-870
28. N. Paragios and R. Deriche, Geodesic active regions for supervised texture segmentation, in: Int. Conf. Computer Vision, 1999, 926-932.
29. Hirth J.P., and Lothe J. Theory of Dislocations. second ed. (1982), John Wiley, New York
30. Lardner R.W. Mathematical Theory of Dislocations and Fracture (1974), Univ. of Toronto Press, Toronto and Buffalo
31. Xiang Y., Cheng L.T., Srolovitz D.J., and E W. A level set method for dislocation dynamics. Acta Mater. 51 (2003) 5499-5518
32. Xiang Y., Srolovitz D.J., Cheng L.T., and E W. Level set simulations of dislocation-particle bypass mechanisms. Acta Mater. 52 (2004) 1745-1760
33. Landau L.D., and Lifshitz E.M. Statistical Physics (1980), Pergamon Press, London
34. Pismen L.M. Vortices in Nonlinear Fields: from Liquid Crystals to Superfluids, from Non-equilibrium Patterns to Cosmic Strings (1999), Oxford University Press, New York
35. Pismen L.M., and Rubinstein J. Motion of vortex lines in the Ginzburg-Landau model. Physica D 47 (1991) 353-360
36. E W. Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity. Physica D 77 (1994) 383-404
37. Batchelor G.K. Introduction to Fluid Mechanics (1967), Cambridge Univ. Press, Cambridge
38. Chorin A.J. Vorticity and Turbulence (1994), Springer, New York
39. Chang Y.C., Hou T.Y., Merriman B., and Osher S. A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. J. Comput. Phys. 124 (1996) 449-464
40. Bardi M., and Osher S. The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations. SIAM J. Math. Anal. 22 (1991) 344-351
41. Osher S., and Shu C.W. High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. SIAM J. Numer. Anal. 28 (1991) 907-922
42. Jiang G.S., and Peng D. Weighted ENO schemes for Hamilton-Jacobi equations. SIAM J. Sci. Comput. 21 (2000) 2126-2143
43. Peng D., Merriman B., Osher S., Zhao H.K., and Kang M. A PDE-based fast local level set method. J. Comput. Phys. 155 (1999) 410-438