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2013 Efficient Algorithm for Isotropic and Anisotropic Total Variation Deblurring and Denoising
Yuying Shi, Qianshun Chang
J. Appl. Math. 2013(SI12): 1-14 (2013). DOI: 10.1155/2013/797239


A new deblurring and denoising algorithm is proposed, for isotropic total variation-based image restoration. The algorithm consists of an efficient solver for the nonlinear system and an acceleration strategy for the outer iteration. For the nonlinear system, the split Bregman method is used to convert it into linear system, and an algebraic multigrid method is applied to solve the linearized system. For the outer iteration, we have conducted formal convergence analysis to determine an auxiliary linear term that significantly stabilizes and accelerates the outer iteration. Numerical experiments demonstrate that our algorithm for deblurring and denoising problems is efficient.


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Yuying Shi. Qianshun Chang. "Efficient Algorithm for Isotropic and Anisotropic Total Variation Deblurring and Denoising." J. Appl. Math. 2013 (SI12) 1 - 14, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.65039
MathSciNet: MR3035164
Digital Object Identifier: 10.1155/2013/797239

Rights: Copyright © 2013 Hindawi


Vol.2013 • No. SI12 • 2013
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