Adaptive total variation denoising based on difference curvature

Image and Vision Computing

Volumn 28, Issue 3, 2010, Pages 298-306

  Chen, Qiang ^a   Montesinos, Philippe ^b   Sun, Quan Sen ^a   Heng, Peng Ann ^c,d   Xia, De Shen ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b ECOLE DES MINES D ALÈS   (France)

^c SHENZHEN INSTITUTES OF ADVANCED TECHNOLOGY   (China)

^d CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Difference curvature; Image denoise; Loss of details; Staircase effect; Total variation

Indexed keywords

IMAGE PROCESSING;

ADAPTIVE REGULARIZATION; DE-NOISING; DIFFERENCE CURVATURE; FIDELITY TERM; IMAGE DENOISE; IMAGE DENOISING METHODS; L2-NORM; NATURAL IMAGES; NEW MODEL; OBJECT EDGE; STAIRCASE EFFECT; TOTAL VARIATION;

STAIRS;

EID: 70450233723     PISSN: 02628856     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.imavis.2009.04.012     Document Type: Article

References (33)

1. Rudin L.I., Osher S., and Fatemi E. Nonlinear total variation based noise removal algorithms. Physica D 60 (1992) 259-268
2. G. Gilboa, Y.Y. Zeevi, N. Sochen, Texture preserving variational denoising using an adaptive fidelity term, in: Proceedings of the VLSM, Nice, France, 2003, pp. 137-144.
3. P. Blomgren, T.F. Chan, P. Mulet, Extensions to total variation denoising, in: Proceedings of SPIE, San Diego, vol. 3162, 1997.
4. Chan T., Marquina A., and Mulet P. High order total variation-based image restoration. SIAM Journal on Scientific Computing 22 2 (2000) 503-516
5. Perona P., and Malik J. Scale-space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machines Intelligence 12 7 (1990) 629-639
6. Alvarez L., Lions P.L., and Morel J.M. Image selective smoothing and edge detection by nonlinear diffusion. SIAM Journal on Numerical Analysis 29 3 (1992) 845-866
7. You Y.L., Xu W., Tannenbaum A., and Kaveh M. Behavioral analysis of anisotropic diffusion in image processing. IEEE Transactions on Image Processing 5 11 (1996)
8. Black M.J., Sapiro G., Marimont D.H., and Heeger D. Robust anisotropic diffusion. IEEE Transactions on Image Processing 7 3 (1998)
9. Luo H.G., Zhu L.M., and Ding H. Coupled anisotropic diffusion for image selective smoothing. Signal Processing 86 7 (2006) 1728-1736
10. You Y.L., and Kaveh M. Fourth-order partial differential equations for noise removal. IEEE Transactions on Image Processing 9 10 (2000) 1723-1730
11. Gilboa G., Sochen N., and Zeevi Y.Y. Image enhancement and denoising by complex diffusion processes. IEEE Transactions on Pattern Analysis and Machines Intelligence 26 8 (2004) 1020-1036
12. Chan T., Esedoglu S., Park F., and Yip A. Recent developments in total variation image restoration. In: Paragios N., Chen Y., and Faugeras O. (Eds). Handbook of Mathematical Models in Computer Vision (2004), Springer, Berlin
13. Osher S., Burger M., Goldfarb D., Xu J., and Yin W. An iterative regularization method for total variation based on image restoration. Multiscale Modeling and Simulation 4 2 (2005) 460-489
14. Nikolova M. Minimizers of cost-functions involving nonsmooth data-fidelity terms. SIAM Journal on Numerical Analysis 40 3 (2002) 965-994
15. Chan T., and Esedoglu S. Aspects of total variation regularized L1 function approximation. SIAM Journal of Applied Mathematics 65 5 (2005) 1817-1837
16. Esedoglu S., and Osher S. Decomposition of images by the anisotropic Rudin-Osher-Fatemi model. Communications in Pure and Applied Mathematics 57 12 (2004) 1609-1626
17. P. Blomgren, P. Mulet, T. Chan, C. Wong, Total variation image restoration: numerical methods and extensions, in: ICIP, Santa Barbara, 1997, pp. 384-387.
18. Bouman C.A., and Sauer K.D. A generalized Gaussian image model for edge-preserving MAP estimation. IEEE Transactions on Image Processing 2 3 (1993) 296-310
19. Chambolle A., and Lions P. Image recovery via total variation minimization and related problems. Numerical Mathematics 76 2 (1997) 167-188
20. Lysaker M., Lundervold A., and Tai X.C. Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time. IEEE Transactions on Image Processing 12 12 (2003) 1579-1590
21. 1 norm. Multiscale Modeling and Simulation 1 3 (2003) 349-370
22. Lysaker M., and Tai X.C. Iterative image restoration combining total variation minimization and a second-order functional. International Journal of Computer Vision 66 1 (2006) 5-8
23. Li F., Shen C.M., Fan J.S., and Shen C.L. Image restoration combing a total variational filter and a fourth-order filter. Journal of Visual Communication and Image Representation 18 4 (2007) 322-330
24. Ito K., and Kunisch K. Restoration of edge-flat-grey scale images. Inverse Problems 16 4 (2000) 909-928
25. Schnörr C. Unique reconstruction of piecewise-smooth images by minimizing strictly convex nonquadratic functionals. Journal of Mathematical Imaging and Vision 4 (1994) 189-198
26. Lee S.-H., and Seo J.K. Noise removal with Gauss curvature-driven diffusion. IEEE Transactions on Image Processing 14 7 (2005) 904-909
27. Wang Z., Bovik A.C., Sheikh H.R., and Simoncelli E.P. Image quality assessment: from error visibility to structural similarity. IEEE Transactions on Image Processing 13 4 (2004) 600-612
28. C. Tomasi, R. Manduchi, Bilateral filtering for gray and color images, in: Proceedings of the IEEE International Conference on Computer Vision, Bombay, India, January 1998, pp. 839-846.
29. Chen K. Adaptive smoothing via contextual and local discontinuities. IEEE Transactions on Pattern Analysis and Machines Intelligence 27 10 (2005) 1552-1567
30. A. Buades, B. Coll, J.M. Morel, A nonlocal algorithm for image denoising, in: Proceedings of the IEEE International Conference on Computer Vision Pattern Recognition, vol. 2, June 2005, pp. 60-65.
31. Buades A., Coll B., and Morel J.-M. The staircasing effect in neighborhood filters and its solution. IEEE Transactions on Image Processing 15 6 (2006) 1499-1505
32. Weickert J., ter Haar Romeny B.M., and Viergever M.A. Efficient and reliable schemes for nonlinear diffusion filtering. IEEE Transactions on Image Processing 7 3 (1998) 398-410
33. J. Wang, Y.W. Guo, Y.T. Ying, Y.L. Liu, Q.S. Peng, Fast non-local algorithm for image denoising, in: IEEE International Conference on Image Processing, Atlanta, USA, October 2006, pp. 1429-1432.