Well-posed anisotropic diffusion for image denoising

IEE Proceedings: Vision, Image and Signal Processing

Volumn 149, Issue 4, 2002, Pages 244-252

  Ceccarelli, M ^a   De Simone, V ^a   Murli, A ^a  

^a UNIVERSITY OF SANNIO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; IMAGE QUALITY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; SPURIOUS SIGNAL NOISE;

IMAGE DENOISING; TOTAL VARIATION; WELL-POSED ANISOTROPIC DIFFUSION;

IMAGE ANALYSIS;

EID: 0036698220     PISSN: 1350245X     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-vis:20020421     Document Type: Article

References (19)

1. ACAR, R., and VOGEL, C.: 'Analysis of total variation penalty methods', Inverse Probl., 1994, 10, pp. 1217-1229
2. GEMAN, S., and GEMAN, D.: 'Stochastic relaxation, Gibbs distribution and the Bayesian restoration of images', IEEE Trans. Pattern Anal. Mach. Intell., 1984, 6, pp. 721-741
3. RUDIN, L., OSHER, S., and FATEMI, E.: 'Nonlinear total variation based noise removal algorithms', Physica D, 1992, 60, pp. 259-268
4. CHAN, T.F., GOLUB, G., and MULET, P.: 'A nonlinear primal-dual method for total variation-based image restoration'. UCLA CAM Technical Report 95-43, 1995
5. CHAN, T.F., ZHOU, H.M., and CHAN, R.H.: 'Continuation method for total variation denoising problems'. UCLA Technical Report, 1996
6. LI, Y., and SANTOSA, F.: 'A computational algorithm for minimizing total variation in image restoration',IEEE Trans. Image Process., 1996, 5, (6), pp. 987-995
7. PERONA, P., and MALIK, J.: 'Scale-space and edge detection using anisotropic diffusion', IEEE Trans. Pattern Anal. Mach. Intell., 1990, 12, (7), pp. 629-639
8. YOU, Y.L., XU, W., TANNENBAUM, A., and KAVEH, M.: 'Behavioral analysis of anisotropic diffusion in image processing', IEEE Trans. Image Process., 1996, 5, (11), pp. 1539-1553
9. LI, S.Z.: 'On discontinuity-adaptive smoothness priors in computer vision', IEEE Trans. Pattern Anal. Mach. Intell., 1995, 17, (6), pp. 576-586
10. YOU, Y.L., KAVEH, M., XU, W., and TANNEBAUM, A.: 'Analysis and design of anisotropic diffusion for image processing'. Proceedings of the IEEE International Conference on Image processing, 1994, pp. 497-501
11. GIUSTI, E.: 'Minimal surfaces and functions of bounded variation' (Birkhauser, 1984)
12. CHAMBOLLE, A., and LIONS, P.L.: 'Image recovery via total variation minimization and related problems', Numer. Math., 1997, 76, (2), pp. 167-188
13. KOENDERINK, J.J.: 'The structure of images', Biol. Cybern., 1984, 50, pp. 363-370
14. ALVAREZ, L., LIONS, P.L., GUICHARD, F., and MOREL, J.M.: 'Axioms and fundamental equations of image processing', Arch. Ration. Mech. Anal., 1993, 16, (9), pp. 200-257
15. HUMMEL, R.A., and MONIOT, A.R.: 'Reconstructions for zerocrossing in scale-space', IEEE Trans. Acoust. Speech Signal Process., 1989, 37, (12), pp. 2111-2130
16. TORKAMANI-AZAR, F., and TAIT, K.E.: 'Image recovery using the anisotropic diffusion equation'. IEEE Trans. Image Process., 1996, 5, (11), pp. 1539-1553
17. KICHENASSAMY, S.: 'The Perona-Malik paradox', SIAM J. Appl. Math., 1997, 57, (5), pp. 1328-1342
18. SETHIAN, J.A.: 'Level set methods: evolving interfaces in geometry, fluid mechanics, computer vision, and material science' (Cambridge University Press, Cambridge, 1996)
19. LEVEGUE, R.J.: 'Numerical methods for conservation laws' (Birkhauser Verlag, Berlin, 1992)