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Alternating Minimization Method for Total Variation Based Wavelet Shrinkage Model

Alternating Minimization Method for Total Variation Based Wavelet Shrinkage Model
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Year:    2010

Communications in Computational Physics, Vol. 8 (2010), Iss. 5 : pp. 976–994

Abstract

In this paper, we introduce a novel hybrid variational model which generalizes the classical total variation method and the wavelet shrinkage method. An alternating minimization direction algorithm is then employed. We also prove that it converges strongly to the minimizer of the proposed hybrid model. Finally, some numerical examples illustrate clearly that the new model outperforms the standard total variation method and wavelet shrinkage method as it recovers better image details and avoids the Gibbs oscillations.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.210709.180310a

Communications in Computational Physics, Vol. 8 (2010), Iss. 5 : pp. 976–994

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:   

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