T-snakes: Topology adaptive snakes

Medical Image Analysis

Volumn 4, Issue 2, 2000, Pages 73-91

  McInerney, Tim ^a   Terzopoulos, Demetri ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Affine cell image decomposition (ACID); Complex biological structures; Deformable contours (snakes); Medical images; Topological flexibility

Indexed keywords

ARTICLE; BRAIN; COMPUTER ASSISTED TOMOGRAPHY; COMPUTER GRAPHICS; COMPUTER SIMULATION; HISTOLOGY; HUMAN; IMAGE PROCESSING; METHODOLOGY; RADIOGRAPHY; SPINE; THREE DIMENSIONAL IMAGING;

BRAIN; COMPUTER GRAPHICS; COMPUTER SIMULATION; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; SPINE; TOMOGRAPHY, X-RAY COMPUTED;

EID: 0034204446     PISSN: 13618415     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1361-8415(00)00008-6     Document Type: Article

References (41)

1. Allgower, E. L., Georg, K., 1990. Introduction to Numerical (Continuation Methods, Springer, Berlin, Heidelberg.
2. Barrett, W.A., Mortensen, E.N., 1997. Interactive live-wire boundary extraction. Medical Image Analysis 1 (4), 331-341.
3. Borgefors, G., 1984. Distance transformations in arbitrary dimensions. Comput. Vis. Graphics Image Processing 27, 321-343.
4. Caselles, V., Catte, F., Coll, T., Dibos, F., 1993. A geometric model for active contours. Numerische Mathematik 66.
5. Caselles, V., Kimmel, R., Sapiro, G., 1993. Geodesic active contours. In: Proc. Fifth International Conf. on Computer Vision (ICCV'95), Cambridge, MA, June, 1995 IEEE Computer Society Press, Los Alamitos, CA, pp. 694-699.
6. Chakraborty, A., Duncan, J.S., 1995. Integration of boundary finding and region-based segmentation using game theory. In: Bizais, Y., Barillot, C., Paola, R. Di, (Eds.), Information Processing in Medical Imaging: Proc. 14th Int. Conf. (IPMI'95), Ile de Berder, France, June, 1995.
7. Computational Imaging and Vision, Vol. 3. Kluwer, Dordrecht, The Netherlands, pp. 189-200.
8. Chakraborty, A., Staib, L.H., Duncan, J.S., 1994. Deformadle boundary finding influenced by region homogeneity. In: Proc. Conf. Computer Vision and Pattern Recognition (CVPR'94), Seattle, WA, June, 1994. IEEE Computer Society Press, Los Alamitos, CA, pp. 624-627.
9. Cohen, L.D., Cohen, I., 1993. Finite clement methods for active contour models and balloons for 2D and 3D images. IEEE Trans. Pattern Anal. Machine Intell. 15 (11), 1131-1147.
10. Durikovic, R., Kaneda, K., Yamashita, H., 1995. Dynamic contour: a texture approach and contour operations. Visual Computer 11, 277-289.
11. Gauch, J.M., Pien, H.H., Shah, J., 1994. Hybrid boundary-based and region-based deformable models for biomedical image segmentation. In: Mathematical Methods in Medical Imaging III. Vol. 2299 of SPIE Proc. SPIE, San Diego, CA, pp. 72-83.
12. Herlin, I.L., Nguyen, C., Graffigne, C., 1992. A deformable region model using stochastic processes applied to echocardiographic images. In: Proc. Conf. Computer Vision and Pattern Recognition (CVPR'92), Urbana, IL, June, 1992. IEEE Computer Society Press, Los Alamitos, CA, pp. 534-539.
13. Ivins, J., Porrill, J., 1994. Statistical snakes: Active region models. In: Proc. 5th British Machine Vision Conf. (BMVC'94). BMVA Press, pp. 377-386.
14. Kapur, T., Grimson, W.E.L., Wells III, W.M., 1996. Kikinis, R., 1996. Segmentation of brain tissue from magnetic resonance images. Med. Image Anal. 1 (2), 109-127.
15. Kass, M., Witkin, A., Terzopoulos, D., 1988. Snakes: Active contour models. Int. J. Comput. Vis. 1 (4), 321-331.
16. Kovalevsky, V.A., 1989. Finite topology as applied to image analysis. Comput. Vis. Graphics Image Processing 46, 141-161.
17. Lachaud, J.-O., Montanvert, A., 1999. Deformable meshes with automated topology changes for coarse-to-fine 3D surface extraction. Med. Image Anal. 3 (2), 187-207.
18. Leitner, F., Cinquin, P., 1991. Complex topology 3D objects segmentation. In: Model-Based Vision Development and Tools. Vol. 1609 of SPIE Proc. SPIE, Bellingham, WA, pp. 16-26.
19. Lobregt, S., Viergever, M.A., 1995. A discrete dynamic contour model. IEEE Trans. Med. Imaging 14 (1), 12-24.
20. Lorenson, W.E., Cline, H.E., 1987. Marching cubes, a high resolution 3D surface construction algorithm. Comput. Graphics 21 (4), 163-169.
21. Lorigo, L., Faugeras, O., Grimson, W.E.L., Keriven, R., Kikinis, R., 1998. Segmentation of bone in clinical knee MRI using texture-based geodesic active contours. In: Wells, W., Colchester, A., Delps, S. (Eds.), Medical Image Computing and Computer-Assisted Intervention MICCAI'98. Vol. 1496 of Lectures Notes in Computer Science. Springer, Berlin, pp. 1195-1204.
22. Malladi, R., Sethian, J., Vemuri, B.C., 1995. Shape modeling with front propagation: A level set approach, IEEE Trans. Pattern Anal. Machine Intell. 17 (2), 158-175.
23. Malladi, R., Kimmel, R., Adalsteinsson, D., Sapiro, G., Caselles, V., Sethian, J.A., 1996. A geometric approach to segmentation and analysis of 3D medical images. In: IEEE Workshop on Mathematical Methods in Biomedical Image Analysis, San Francisco, CA, June 1996. IEEE Computer Society Press, Los Alamitos, CA, pp. 244-252.
24. McInerney, T., 1997. Topologically Adaptable Deformable Models for Medical Image Analysis. Ph.D. Dissertation. Department of Computer Science, University of Toronto, Toronto, ON, Canada.
25. McInerney, T., Terzopoulos, D., 1995a. A dynamic finite clement surface model for segmentation and tracking in multidimensional medical images with application to cardiac 4D image analysis. Comput. Med. Imaging Graphics 19(1). 69-83.
26. McInerney, T., Terzopoulos, D., 1995b. Medical image segmentation using topologically adaptadle snakes. In: Ayache, N. (Ed.), Proc. First International Conf. on Computer Vision, Virtual Reality and Robotics in Medicine (CVRMed'95), Nice, France, April 1995. Vol. 905 of Lectures Notes in Computer Science. Springer, Berlin, Germany, pp. 92-101.
27. McInerney, T., Terzopoulos, D., 1995c. Topologically adaptable snakes. In: Proc. Fifth International Conf. on Computer Vision (ICCV'95), Cambridge, MA, June 1995. IEEE Computer Society Press, Los Alamitos, CA, pp. 840-845.
28. McInerney, T., Terzopoulos, D., 1996. Deformable models in medical image analysis: a survey. Med. Image Anal. 1 (2), 91-108.
29. McInerney, T., Terzopoulos, D., 1999. Topology adaptive deformable surfaces for medical image volume segmentation, IEEE Trans. Med. Imaging 18 (10), 840-850.
30. Mortensen, E.N., Barrett, W.A., 1995. Intelligent scissors for image composition. In: Proc. SIGGRAPH'95, Los Angeles, CA, August 1995. Computer Graphics Proc., Annual Conf. Series 1995. ACM SIGGRAPH, New York, NY, pp. 191-198.
31. Munkres, J.R., 1984. Elements of Algebraic Topology, Addison-Wesley, Menlo Park, CA.
32. Ning, P., Bloomenthal, J., 1993. An evaluation of implicit surface tilers, IEEE Comput. Graphics Appl. 33-41.
33. Osher, S., Sethian, J.A., 1988. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulation. J. Comput. Phys. 79, 12-49.
34. Poon, C.S., Braun, M., Fahrig, R., Ginige, A., Dorrell, A., 1994. Segmentation of medical images using an active contour model incorporating region-based images features. In: Robb, R.A. (Ed.), Proc. Third Conf. on Visualization in Biomedical Computing (VBC'94), Rochester, MN, October 1994. Vol. 2359 of SPIE Proc. SPIE, Bellingham, WA, pp. 90-97.
35. Prince, J.L., Xu, C., 1996. A new external force model for snakes. In: 1996 Image and Multidimensional Signal Processing Workshop, pp. 30-31.
36. Rougon, N., Prêteux, F., 1991. Deformable markers: Mathematical morphology for active contour models control. In: Image Algebra and Morphological Image Processing II. Vol. 1568 of SPIE Proc. SPIE, Bellingham, WA, pp. 78-89.
37. Sapiro, G., Kimmel, R., Caselles, V., 1995. Object detection and measure- ments in medical images via geodesic deformable contours. In: Vision Geometry IV. Vol. 2373 of SPIE Proc. SPIE, Bellingham, WA, pp. 366-378.
38. Singh, A., Goldgof, D., Terzopoulos, D., 1998. In: Deformable Models in Medical Image Analysis, IEEE Computer Society, Los Alamitos, CA.
39. Szeliski, R., Tonnesen, D., Terzopoulos, D., 1993. Modeling surfaces of arbitrary topology with dynamic particles. In: Proc. Conf. Computer Vision and Pattern Recognition (CVPR'93), New York, NY, June 1993. IEEE Computer Society Press, Los Alamitos, CA, pp. 82-87.
40. Terzopoulos, D., Witkin, A., Kass, M., 1988. Constraints on deformable models: recovering 3D shape and nonrigid motion. Artif. Intell. 36 (1), 91-123.
41. Whitaker, R., 1994. Volumetric deformable models. In: Robb, R.A. (Ed.). Proc. Third Conf. on Visualization in Biomedical Computing (VBC'94), Rochester, MN, October 1994. Vol. 2359 of SPIE Proc. SPIE, Bellingham, WA.