Iterative Regularization Model for Image Denoising Based on Dual Norms

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Abstract:

Image denoising algorithm based on gradient dependent energy functional often compromised the image features like textures or certain details. This paper proposes an iterative regularization model based on Dual Norms for image denoising. By using iterative regularization model, the oscillating patterns of texture and detail are added back to fit and compute the original Dual Norms model, and the iterative behavior avoids overfull smoothing while denoising the features of textures and details to a certain extent. In addition, the iterative procedure is proposed in this paper, and the proposed algorithm also be proved the convergence property. Experimental results show that the proposed method can achieve a batter result in preserving not only the features of textures for image denoising but also the details for image.

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1245-1249

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June 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] CHAN T F, SHEN J, VESE L: Variational PDE models in image processing. Notices Amer Math Soc. Vol. 50 (2003), pp.14-26.

Google Scholar

[2] STRONG D, CHAN T F: Edge preserving and scale dependent properties of total variation regularization. Inv Probl, Vol. 19 (2003), pp.165-187.

Google Scholar

[3] Gilboa G, Sochen N, Zeevi Y Y: Variational denoising of partly-textured images by spatially varying constraints. IEEE Transactions on Image Processing, Vol. 15 (2006), pp.2281-2289.

DOI: 10.1109/tip.2006.875247

Google Scholar

[4] Meyer Y: Oscillating Patterns in Image Processing and Nonlinear Evolution Equations. University Lecture Scries. Boston, USA: American Mathematical Society(2001).

Google Scholar

[5] Vese L A, Osher S J: Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing. Joumal of Scientific Computing, Vol. 19 (2003), pp.553-572.

Google Scholar

[6] Osher S, Sole A, Vese L: Image Decomposition and Restoration Using Total Variation Minimization and the H-Norm. Journal of Multiscale Modeling and Simulation, Vol. 1 (2003), pp.349-370.

DOI: 10.1137/s1540345902416247

Google Scholar

[7] Aujol J F, Chambolle A: Dual Norms and Image Decomposition Models. International Journal of Computer Vision, Vol. 63 (2005), pp.85-104.

DOI: 10.1007/s11263-005-4948-3

Google Scholar

[8] Chen Yunmei, Levine S, Rat M: Variable Exponent, Linear Growth Functionals in Image Processing[J]. SIAM Journal on Applied Mathematics, Vol. 66 (2006), pp.1383-1406.

DOI: 10.1137/050624522

Google Scholar