Finding the global minimum for binary image restoration

Proceedings - International Conference on Image Processing, ICIP

Volumn 1, Issue , 2005, Pages 121-124

  Chan, Tony F ^a   Esedoglu, Selim ^a   Nikolova, Mila ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Paris Descartes University   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY IMAGES; ENERGY FUNCTIONAL CONSTRAINED;

CONSTRAINT THEORY; NUMERICAL METHODS; PROBLEM SOLVING;

IMAGE RECONSTRUCTION;

EID: 33749647746     PISSN: 15224880     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIP.2005.1529702     Document Type: Conference Paper

References (22)

1. 1 function approximation," Tech. Rep., CAM Report 04-07, 2004, to appear in SIAM Journal on Applied Mathematics.
2. Mila Nikolova, "Estimation of binary images using convex criteria," in Proceedings of the IEEE International Conference on Image Processing, 1998, vol. 2, pp. 108-112.
3. A. Tikhonov and V. Arsenin, Solutions of Ill-Posed Problems, Winston, Washington DC, 1977.
4. L. Rudin, S. Osher, and C. Fatemi, "Nonlinear total variation based noise removal algorithm," Physica, vol. 60 D, pp. 259-268, 1992.
5. Pierre Charbonnier, Laure Blanc-Féraud, Gilles Aubert, and Michel Barlaud, "Deterministic edge-preserving regularization in computed imaging," IEEE Transactions on Image Processing, vol. 6, no. 2, pp. 298-311, Feb. 1997.
6. G. Aubert and L. Vese, "A variational method in image recovery," SIAM Journal on Numerical Analysis, vol. 34, no. 5, pp. 1948-1979, 1997.
7. Gilles Aubert and Pierre Kornprobst, Mathematical problems in images processing, Springer-Verlag, Berlin, 2002.
8. Luminita Vese and Stanley Osher, "The level set method links active contours, mumford-shah segmentation, and total variation restoration," Tech. Rep., UCLA CAM Report (02-05), 2002.
9. M. Kass, A. Witkin, and D. Terzopoulos, "Snakes: Active contour models," International Journal of Computer Vision, ,no. 1, pp. 321-331, 1987.
10. S. Osher and J. Sethian, "Fronts propagating with curvature-dependent speed: algorithms based on hamilton-jacobi formulations," Journal of Computational Physics, vol. 79, no. 1, pp. 12-49, 1988.
11. G. Dal Maso, An introduction to T-convergence, Progress in Nonlinear Differential Equations and their Applications. Birkhauser Boston Inc., Boston, MA, 1993.
12. L. Modica and S. Mortola, "Un esempio di gamma-convergenza," Boll Un. Mat. Ital. B (5), vol. 14, 1 1977.
13. S. Alliney, "Digital filters as absolute norm regularizers," IEEE Transactions on Signal Processing, vol. SP-40, no. 6, pp. 1548-1562, 1992.
14. S. Alliney, "Recursive median filters of increasing order: a variational approach," IEEE Transactions on Signal Processing, vol. 44, no. 6, pp. 1346-1354, 1996.
15. S. Alliney, "A property of the minimum vectors of a regularizing functional defined by means of absolute norm," IEEE Transactions on Signal Processing, vol. 45, no. 4, pp. 913-917, Apr. 1997.
16. Mila Nikolova, "A variational approach to remove outliers and impulse noise," Journal of Mathematical Imaging and Vision, vol. 20, no. 1, Jan. -Mar. 2004.
17. Mila Nikolova, "Minimizers of cost-functions involving nonsmooth data-fidelity terms. Application to the processing of outliers," SIAM Journal on Numerical Analysis, vol. 40, no. 3, pp. 965-994, 2002.
18. Tony Chan, Selim Esedoglu, and Mila Nikolova, "Algorithms for finding global minimizers of image segmentation and denoising models," Tech. Rep., CAM Report 04-54, 2004.
19. Gilbert Strang, "Maximal flow through a domain," Mathematical Pogramming, vol. 26, no. 2, pp. 123-143, 1983.
20. 1 and L∞ approximation of vector fields in the plane, pp. 273-288, North-Holland Math. Stud. 81, North Holland, Amsterdam, 1983.
21. W. Fleming and R. Rishel, "An integral formula for total gradient variation," vol. 11, 1960.
22. Tony Chan and Luminita Vese, "Active contours without edges," IEEE Transactions on Image Processing, vol. 10, no. 2, pp. 266-277, 2001.