An efficient algorithm for adaptive total variation based image decomposition and restoration
By: Xinwu Liu and Lihong Huang
References
- Aujol, J.-F., Aubert, G., Blanc-F´eraud, L. and Chambolle, A. (2005). Image decomposition into a bounded variation component and an oscillating component,(1): 71–88.
- Aujol, J.-F., Gilboa, G., Chan, T. and Osher, S. (2006). Structure-texture image decomposition—modeling, algorithms, and parameter selection,(1): 111–136.
- Aujol, J.-F. and Gilboa, G. (2006). Constrained and SNR-based solutions for TV-Hilbert space image denoising,(1–2): 217–237.
- Barcelos, C.A.Z. and Chen Y. (2000). Heat flows and related minimization problem in image restoration,&(5–6): 81–97.
- Cai, J.F., Osher, S. and Shen, Z. (2009). Split Bregman methods and frame based image restoration,, UCLA, Los Angeles, CA.
- Chambolle, A. (2004). An algorithm for total variation minimization and application,(1–2): 89–97.
- Chan, T.F., Golub, G.H. and Mulet, P. (1999). A nonlinear primal-dual method for total variation-based image restoration,(6): 1964–1977.
- Chan, T.F., Esedoglu, S. and Park, F.E. (2007). Image decomposition combining staircase reducing and texture extraction,(6): 464–486.
- Chen, Y. and Wunderli, T. (2002). Adaptive total variation for image restoration in BV space,(1): 117–137.
- Daubechies, I. and Teschke, G. (2005). Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring and denoising,(1): 1–16.
- Goldstein, T. and Osher, S. (2009). The split Bregman algorithm for1 regularized problems,(2): 323–343.
- Hajiaboli, M.R. (2010). A self-governing fourth-order nonlinear diffusion filter for image noise removal,: 94–103.
- Jia, R.-Q., Zhao, H. and Zhao, W. (2009). Convergence analysis of the Bregman method for the variational model of image denoising,(3): 367–379.
- Liu, X. and Huang, L. (2010). Split Bregman iteration algorithm for total bounded variation regularization based image deblurring,(2): 486–495.
- Liu, X., Huang, L. and Guo, Z. (2011). Adaptive fourth-order partial differential equation filter for image denoising,(8): 1282–1288.
- Liu, X. and Huang, L. (2012). Total bounded variation based Poissonian images recovery by split Bregman iteration,(5): 520–529.
- Liu, X. and Huang, L. (2013). Poissonian image reconstruction using alternating direction algorithm,(3): 033007.
- Liu, X. and Huang, L. (2014). A new nonlocal total variation regularization algorithm for image denoising,: 224–233.
- Meyer, Y. (2001)., University Lecture Series, Vol. 22, AMS, Providence, RI.
- Ng, M.K., Yuan, X.M. and Zhang, W.X. (2013). A coupled variational image decomposition and restoration model for blurred cartoon-plus-texture images with missing pixels,(6): 2233–2246.
- Osher, S., Solé, A. and Vese, L. (2003). Image decomposition and restoration using total variation minimization andnorm,&(3): 349–370.
- Prasath, V.B.S. (2011). A well-posed multiscale regularization scheme for digital image denoising,(4): 769–777, DOI: 10.2478/v10006-011-0061-7.
- Rudin, L., Osher, S. and Fatemi, E. (1992). Nonlinear total variation based noise removal algorithms,(1–4): 259–268.
- Setzer, S., Steidl, G. and Teuber T. (2010). Deblurring Poissonian images by split Bregman techniques,(3): 193–199.
- Strong, D.M. and Chan, T.F. (1996). Spatially and scale adaptive total variation based regularization and anisotropic diffusion in image processing,, UCLA, Los Angeles, CA.
- Szlam, A., Guo, Z. and Osher S. (2010). A split Bregman method for non-negative sparsity penalized least squares with applications to hyperspectral demixing,, UCLA, Los Angeles, CA.
- Vese, L. and Osher, S. (2003). Modeling textures with total variation minimization and oscillating patterns in image processing,(1–3): 553–572.
- Wang, Y., Yang, J., Yin, W. and Zhang, Y. (2007). A new alternating minimization algorithm for total variation image reconstruction,, Rice University, Houston, TX.
- Zhang, X., Burger, M., Bresson, X. and Osher, S. (2009). Bregmanized nonlocal regularization for deconvolution and sparse reconstruction,, UCLA, Los Angeles, CA.
Language: English
Page range: 405 - 415
Submitted on: Apr 18, 2013
Accepted on: Jan 28, 2014
Published on: Jun 26, 2014
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
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© 2014 Xinwu Liu, Lihong Huang, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.