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 - <p style="text-align: justify;">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.</p>