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Volume 8, Issue 3
A Denoising-Decomposition Model Combining TV Minimisation and Fractional Derivatives

Donghuan Jiang, Xuejian Wang, Guangbao Xu & Jianqiang Lin

DOI: 10.4208/eajam.130917.150218

East Asian J. Appl. Math., 8 (2018), pp. 447-462.

Published online: 2018-08

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  • Abstract

A new image denoising-decomposition model is proposed. It is based on the TV minimisation and fractional derivatives of various order. It is shown that the texture details are better described by fractional derivatives of order greater than 1, whereas the noise part by fractional derivative of order smaller than 1, and this effect is used in image denoising. The model is able to eliminate staircase effect and keeps the edge and texture information of the image. Various experiments confirm the efficiency of the model.

  • Keywords

Image denoising, total variation model, fractional derivatives, partial differential equations.

  • AMS Subject Headings

68U10, 58E50

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-447, author = {Donghuan Jiang, Xuejian Wang, Guangbao Xu and Jianqiang Lin}, title = {A Denoising-Decomposition Model Combining TV Minimisation and Fractional Derivatives}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {3}, pages = {447--462}, abstract = {

A new image denoising-decomposition model is proposed. It is based on the TV minimisation and fractional derivatives of various order. It is shown that the texture details are better described by fractional derivatives of order greater than 1, whereas the noise part by fractional derivative of order smaller than 1, and this effect is used in image denoising. The model is able to eliminate staircase effect and keeps the edge and texture information of the image. Various experiments confirm the efficiency of the model.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.130917.150218}, url = {http://global-sci.org/intro/article_detail/eajam/12618.html} }
TY - JOUR T1 - A Denoising-Decomposition Model Combining TV Minimisation and Fractional Derivatives AU - Donghuan Jiang, Xuejian Wang, Guangbao Xu & Jianqiang Lin JO - East Asian Journal on Applied Mathematics VL - 3 SP - 447 EP - 462 PY - 2018 DA - 2018/08 SN - 8 DO - http://doi.org/10.4208/eajam.130917.150218 UR - https://global-sci.org/intro/article_detail/eajam/12618.html KW - Image denoising, total variation model, fractional derivatives, partial differential equations. AB -

A new image denoising-decomposition model is proposed. It is based on the TV minimisation and fractional derivatives of various order. It is shown that the texture details are better described by fractional derivatives of order greater than 1, whereas the noise part by fractional derivative of order smaller than 1, and this effect is used in image denoising. The model is able to eliminate staircase effect and keeps the edge and texture information of the image. Various experiments confirm the efficiency of the model.

Donghuan Jiang, Xuejian Wang, Guangbao Xu and Jianqiang Lin. (2018). A Denoising-Decomposition Model Combining TV Minimisation and Fractional Derivatives. East Asian Journal on Applied Mathematics. 8 (3). 447-462. doi:10.4208/eajam.130917.150218
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