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Volume 7, Issue 3
Hybrid Variational Model for Texture Image Restoration

Liyan Ma, Tieyong Zeng & Gongyan Li

DOI: 10.4208/eajam.090217.300617a

East Asian J. Appl. Math., 7 (2017), pp. 629-642.

Published online: 2018-02

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  • Abstract

The hybrid variational model for restoration of texture images corrupted by blur and Gaussian noise we consider combines total variation regularisation and a fractional-order regularisation, and is solved by an alternating minimisation direction algorithm. Numerical experiments demonstrate the advantage of this model over the adaptive fractional-order variational model in image quality and computational time.

  • Keywords

Image deblurring, total variation, fractional-order regularisation.

  • AMS Subject Headings

65J22, 65K10, 68U10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-7-629, author = {Liyan Ma, Tieyong Zeng and Gongyan Li}, title = {Hybrid Variational Model for Texture Image Restoration}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {7}, number = {3}, pages = {629--642}, abstract = {

The hybrid variational model for restoration of texture images corrupted by blur and Gaussian noise we consider combines total variation regularisation and a fractional-order regularisation, and is solved by an alternating minimisation direction algorithm. Numerical experiments demonstrate the advantage of this model over the adaptive fractional-order variational model in image quality and computational time.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.090217.300617a}, url = {http://global-sci.org/intro/article_detail/eajam/10769.html} }
TY - JOUR T1 - Hybrid Variational Model for Texture Image Restoration AU - Liyan Ma, Tieyong Zeng & Gongyan Li JO - East Asian Journal on Applied Mathematics VL - 3 SP - 629 EP - 642 PY - 2018 DA - 2018/02 SN - 7 DO - http://doi.org/10.4208/eajam.090217.300617a UR - https://global-sci.org/intro/article_detail/eajam/10769.html KW - Image deblurring, total variation, fractional-order regularisation. AB -

The hybrid variational model for restoration of texture images corrupted by blur and Gaussian noise we consider combines total variation regularisation and a fractional-order regularisation, and is solved by an alternating minimisation direction algorithm. Numerical experiments demonstrate the advantage of this model over the adaptive fractional-order variational model in image quality and computational time.

Liyan Ma, Tieyong Zeng and Gongyan Li. (2018). Hybrid Variational Model for Texture Image Restoration. East Asian Journal on Applied Mathematics. 7 (3). 629-642. doi:10.4208/eajam.090217.300617a
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