A Denoising-Decomposition Model Combining TV Minimisation and Fractional Derivatives

A Denoising-Decomposition Model Combining TV Minimisation and Fractional Derivatives

Year:    2018

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.130917.150218

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 3 : pp. 447–462

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Image denoising total variation model fractional derivatives partial differential equations.