Region based image segmentation using a modified Mumford-Shah algorithm

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4485 LNCS, Issue , 2007, Pages 733-742

  An, Jung Ha ^a   Chen, Yunmei ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BRAIN; DATA ACQUISITION; MAGNETIC RESONANCE IMAGING; MATHEMATICAL MODELS; VARIATIONAL TECHNIQUES;

ENERGY FUNCTIONS; LOSS OF INFORMATION; REGION INTENSITY VALUES;

IMAGE SEGMENTATION;

EID: 37249063885     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-72823-8_63     Document Type: Conference Paper

References (20)

1. Ambrosio, L. and Tortorelli, V.: Approximation of functionals depending on jumps by elliptic functionals via Γ-convergence . Comm. on Pure and Applied Math. Vol. 43 (1990) 999-1036
2. Baldo, S.: Minimal interface criterion for phase transitions in mixtures of Cahn-Hilliard fluids. Annals. Inst. Henri Poincare. Vol. 7 (1990)67-90
3. Bresson, X., Vandergheynst, P., and Thiran, J.: A variational model for object segmentation using boundary information and shape prior driven by the Mumford-Shah functional Int. J. Comp. Vis. Vol. 68(2) (2006) 145-162
4. Chan, T. and Vese, L.: Active contours without edges. IEEE Trans. Image Proc. 10 (2) (2001) 266-277
5. Chan, T. and Vese, L.: A level set algorithm for minimizing the Mumford-Shah functional in image processing. Proc. 1st IEEE Workshop Varia. Level Set Meth. Comp. Vis. 13 Vancouver B.C. Canada(2001)161-168
6. Chen, Y., Tagare, H., Thiruvenkadam, S., Huang, F., Wilson, D., Gopinath, K., Briggs, R., and Geiser, E. : Using prior shapes in geometric active contours in a variational framework. Int. J. Comp. Vis. Vol. 50 (3) (2002) 315-328
7. Cremers, D., Kohlberger, T., and Schnorr, C.: Shpe statistics in kernel space for variational image segmentation. Patt. Recog. 36 (2003) 1929-1943
8. Esedoglu, S. and Tsai, R.: Threshold dynamics for the piecewise constant Mumford-Shah fuctional. CAM Report 04-63 UCLA (2004)
9. Gibou, F., and Fedkiw, R.: A fast hybrid k-means level set algorithm for segmenttion. Stanford Technical Report (2002)
10. Huang, X., Li, Z., and Metaxas, D.: Learning Coupled Prior Shape and Appearance Models for Segmentation. Proc. 7th. Ann. Int. Conf. on Med. Image Comp. Computer-Assi. Interv. MICCAI04 Vol. ILNCS-3216 (2004) 60-69.
11. Huang, X., Metaxas, D., and Chen, T.: MetaMorphs: Deformable Shape and Texture Models. Proc. IEEE Comp. Soc. Conf. Comp. Vis. Pat. Recog. CVPR04, Vol. I (2004) 496-503
12. Leventon, M., Grimson, E., and Faugeras, O.: Statistical Shape Influence in Geodesic Active Contours. Proc. IEEE Conf. CVPR (2000) 316-323
13. Lie, J., Lysaker, M., and Tai, X.: A binary level set model and some aplications to MumfordShah segmentation. CAM Report. Vol. 31 (2004)
14. Módica, L.: The gradient theory of phase transitions and the minimal interface criterion. Arch. Rational Mech. Anal. Vol. 98 (1987) 123-142
15. Mumford, D. and Shah, J.: Optimal approximations by piecewise smooth functions and associated variational problems. Comm. on Pure and Applied Math. Vol. 42 (1989) 577-685
16. Osher, S. and Fedkiw, R.: Level set methods and dynamic implicit surfaces. Springer Verlag, New York, (2003)
17. Rousson, M. Paragios, N.: Shape prior for level set representations. Comp. Vis. ECCV2002 7th. Eur. Conf. Comp. Vis. Copenhgen Demark Proc. (2002) 78-92
18. Shen. J.: Γ-Convergence Approximation to Piecewise Constant Mumford-Shah Segmentation. Lee. Notes Comp. Sci., 3708 (2005) 499-506
19. Shen. J.: A stochastic-variational model for soft Mumford-Shah segmentation . Int. J. Biomed. Imaging, special issue on "Recent Advances in Mathematical Methods for the Process-ing of Biomedical Images," Vol. 2006 (2006) 1-14
20. Wang, M. and Zhou, S.: Phase Field: A Variational Method for Structural Topology Optimization . Computer Modeling in Engineering & Sciences. Vol. 6 no.6 (2004) 547-566