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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

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.

  • AMS Subject Headings

68U10, 58E50

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-447, author = {}, 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 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 & Jianqiang Lin. (2020). 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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