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Original Articles

Construction of local nonlinear filter without staircase effect in image restoration

Pages 1257-1273 | Received 11 Jan 2010, Accepted 15 Mar 2010, Published online: 30 Sep 2010

References

  • Yaroslavsky , LP . 1985 . Digital Picture Processing – An Introduction , New York : Springer-Verlag .
  • Lee , JS . 1983 . Digital image smoothing and the sigma filter . Comput. Vis. Graph. Image Process. , 24 : 253 – 269 .
  • Tomasi , C and Manduchi , R . 1998 . Bilateral Filtering for Grey and Color Images , 839 – 846 . New Delhi, , India : Proceedings of the 6th International Conference on Computer Vision .
  • Smith , SM and Brady , JM . 1997 . SUSAN—A new approach to low level image processing . Int. J. Comput. Vis. , 23 ( 1 ) : 45 – 78 .
  • C.K. Chui and J.Z. Wang, Image clean-up and pre-coding, United States Patent, Patent No. US 7,570,832, Assignee: Precoad Inc., 14 June 2005, and PCT International Application No. 61586-5000 WO, 2005.
  • P.W. Devaney, D.C. Gnanaprakasam, and T.J. Leacock, Post-filter for removing ringing artifacts of DCT coding, United States Patent, Patent No. US 5,819,035, Assignee: Matsushita Electric Industrial Co. Ltd., 06 October 1998.
  • R.P. Maurer, Method for bilateral filtering of digital images, United States Patent, Patent No. US 7,352,911, Assignee: Hewlett-Packard Development Company, 1 April 2008.
  • R.P. Maurer and D. Barash, Method for enhancing compressibility and visual quality of scanned document images, United States Patent, Patent No. US 6,731,821. Assignee: Hewlett-Packard Development Company, 4 May 2004.
  • J. Zhang and R. Mathew, Method and decoder system for reducing quantization effect of a decoded image, United States Patent, Patent No. US 6,807,317, Assignee: Motorola Inc., 19 October 2004.
  • Buades , A , Coll , B and Morel , JM . 2006 . The staircasing effect in neighbourhood filters and its solution . IEEE Trans. Image Process , 15 ( 6 ) : 1499 – 1505 .
  • Perona , P and Malik , J . 1990 . Scale-space and edge detection using anisotropic diffusion . IEEE Trans. Pattern Anal. Machine Intell. , 12 ( 7 ) : 629 – 639 .
  • Chui , CK and Wang , JZ . 2009 . PDE models associate with the bilateral filter . Adv. Comput. Math. , 31 : 131 – 156 .
  • Barash , D . 2002 . A fundamental relationship between bilateral filtering, adaptive smoothing, and the nonlinear diffusion equation . IEEE Trans. Pattern Anal. Machine Intell. , 24 ( 6 ) : 844 – 856 .
  • Marquina , A and Osher , S . 2000 . Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal . SIAM J. Sci. Comput. , 22 : 387 – 405 .
  • Rudin , L , Osher , S and Fatemi , E . 1992 . Nonlinear total variation based noise removal algorithms . Phys. D , 60 : 259 – 268 .
  • Andreu , F , Ballester , C , Caselles , V and Mazon , JM . 2001 . Minimizing total variation flow . Differ. Integral. Equ. , 14 ( 3 ) : 321 – 360 .
  • Andreu , F , Caselles , V , Diaz , JI and Mazon , JM . 2002 . Qualitative properties of the total variation flow . J. Funct. Anal. , 188 ( 2 ) : 516 – 547 .
  • Chan , TF , Golub , GH and Mulet , P . 1999 . A nonlinear primal-dual method for total variation based image restoration . SIAM J. Sci. Comput. , 20 : 1964 – 1977 .
  • Vogel , CR and Oman , ME . 1996 . Iterative methods for total variation denoising . SIAM J. Sci. Comput. , 17 ( 1 ) : 227 – 238 .
  • Osher , S , Burger , M , Goldfarb , D , Xu , J and Yin , W . 2005 . An iterative regularization method for total variation-based image restoration, multiscale model . SIAM Multi. Model. Simul. , 4 ( 2 ) : 460 – 489 .
  • Burger , M , Glilboa , G , Osher , S and Xu , J . 2006 . Nonlinear inverse scale space methods . Commun. Math. Sci. , 4 : 179 – 212 .
  • Burger , M , Osher , S , Xu , J and Gilboa , G . 2005 . Nonlinear inverse scale space methods for image restoration . VLSM, LNCS , 3752 : 85 – 96 .
  • Shi , J and Osher , S . 2008 . A nonlinear inverse scale space method for a convex multiplicative noise model . SIAM J. Imaging Sci. , 1 ( 3 ) : 294 – 321 .
  • Chan , T and Shen , J . 2001 . The digital TV filter and nonlinear denoising . IEEE Trans. Image Process. , 10 ( 2 ) : 231 – 241 .

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