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A New Algorithm for Total Variation Based Image Denoising

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文摘 We propose a new algorithm for the total variation based on image denoising problem. The split Bregman method is used to convert an unconstrained minimization denoising problem to a linear system in the outer iteration. An algebraic multi-grid method is applied to solve the linear system in the inner iteration. Furthermore, Krylov subspace acceleration is adopted to improve convergence in the outer iteration. Numerical experiments demonstrate that this algorithm is efficient even for images with large signal-to-noise ratio.
来源 Acta Mathematicae Applicatae Sinica-English Series ,2012,28(4):721-730 【核心库】
DOI 10.1007/s10255-012-0184-0
关键词 image denoising ; total variation ; split Bregman method ; algebraic multi-grid method ; Krylov subspace acceleration
地址

School of Science, Southwest University of Science and Technology, Mianyang, 621010

语种 英文
ISSN 0168-9673
学科 数学
基金 Supported by Youth Foundation of Southwest University of Science and Technology
文献收藏号 CSCD:4702684

参考文献 共 26 共2页

1.  Acar R. Analysis of total variation penalty methods for ill-posed problems. Inverse Problems,1994,10:1217-1229 CSCD被引 33    
2.  Alvarez L. Image selective smoothing and edge detection by nonlinear diffusion II. SIAM J. Numer. Anal,1992,29:845-866 CSCD被引 111    
3.  Barcelos C A Z. Heat flow and related minimization problem in image restoration. Computers and Mathematics with Applications,2000,39:81-97 CSCD被引 9    
4.  Barles G. Convergence of approximation schemes for fully nonlinear second order equations. Asymptotic Analysis,1991,4:271-283 CSCD被引 11    
5.  Brandt A. On recombining iterants in multigrid algorithms and problems with small islands. SIAM J. Sci. Comput,1995,16:20-28 CSCD被引 3    
6.  Chan R. Advanced signal processing algorithms. Proceedings of the International Society of Photo-Optical Instrumentation Engineers,1995:314-325 CSCD被引 3    
7.  Chan T F. A nonlinear primal-dual method for total variation-based image restoration. SIAM J. Sci. Comput,1999,20:1964-1977 CSCD被引 51    
8.  Chang Q S. Acceleration methods for total variation-based image denoising. SIAM J. Sci. Comput,2003,25:983-994 CSCD被引 1    
9.  Chang Q S. Efficient algebraic multigrid algorithms and their convergence. SIAM J. Sci. Comput,2002,24:597-618 CSCD被引 12    
10.  Chang Q S. Algebraic multigrid method for queuing networks. Int. J. of Computer Math,1999,70:539-552 CSCD被引 3    
11.  Chang Q S. On the algebraic multigrid method. J. Comput. Phys,1996,125:279-292 CSCD被引 15    
12.  Goldstein T. The split Bregman method for L1 regularized problems,2008 CSCD被引 2    
13.  Henson V E. Element-free AMGe: general algorithms for computing interpolation weights. SIAM J. Sci. Comput,2001,23:629-650 CSCD被引 4    
14.  Li Y. An affine scaling algorithm for minimizing total variation in image enhancement. Tech. Report 12/94,1994 CSCD被引 1    
15.  McCormick S. Multigrid methods,1987 CSCD被引 1    
16.  Oman M E. Fast multigrid techniques in total variation-based image reconstruction. Preliminary Proceedings of the 1995 Copper Mountain Conference on Multigrid Methods,1995 CSCD被引 1    
17.  Oosterlee C W. Krylov subspace acceleration of nonlinear multigrid with application to recirculating flows. SIAM J. Sci. Comput,2000,21:1670-1690 CSCD被引 5    
18.  Osher S. Feature-oriented image enhancement using shock filters. SIAM J. Numer. Anal,1990,27:919-940 CSCD被引 76    
19.  Rudin L. Nonlinear total variation based noise removal algorithms. Phys. D,1992,60:259-268 CSCD被引 1053    
20.  Ruge J. Algebraic multigrid. Multigrid Methods, Frontiers Appl. Math. 3,1987:73-130 CSCD被引 1    
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