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An accelerated algebraic multigrid algorithm for total-variation denoising

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Abstract

The variational partial differential equation (PDE) approach for image denoising restoration leads to PDEs with nonlinear and highly non-smooth coefficients. Such PDEs present convergence difficulties for standard multigrid methods. Recent work on algebraic multigrid methods (AMGs) has shown that robustness can be achieved in general but AMGs are well known to be expensive to apply. This paper proposes an accelerated algebraic multigrid algorithm that offers fast speed as well as robustness for image PDEs. Experiments are shown to demonstrate the improvements obtained.

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Authors and Affiliations

  1. Department of Mathematical Sciences, The University of Liverpool, Peach Street, Liverpool, L69 7ZL, UK

    Ke Chen & Joseph Savage

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  1. Ke Chen
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  2. Joseph Savage
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Correspondence to Ke Chen.

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Chen, K., Savage, J. An accelerated algebraic multigrid algorithm for total-variation denoising . Bit Numer Math 47, 277–296 (2007). https://doi.org/10.1007/s10543-007-0123-2

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  • DOI: https://doi.org/10.1007/s10543-007-0123-2

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