Vector total fractional-order variation and its applications for color image denoising and decomposition

Wei Wang; Xiang Gen Xia; Shengli Zhang; Chuanjiang He; Ling Chen

doi:10.1016/j.apm.2019.03.010

Vector total fractional-order variation and its applications for color image denoising and decomposition

Wei Wang^*, Xiang Gen Xia, Shengli Zhang, Chuanjiang He, Ling Chen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, a vector total fractional-order variation (VTV-β) is proposed. Then, VTV-β model and G ^β (Ω) model are proposed for color image denoising and decomposition, respectively. Some properties of the VTV-β are investigated and an alternative algorithm is used to solve the two models. Some experimental results are given to show the effectiveness and advantages of our methods.

Original language	English
Pages (from-to)	155-175
Number of pages	21
Journal	Applied Mathematical Modelling
Volume	72
DOIs	https://doi.org/10.1016/j.apm.2019.03.010
Publication status	Published - Aug 2019
Externally published	Yes

Keywords

Color image decomposition
Color image restoration
Fractional-order derivative
Vector total variation

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10.1016/j.apm.2019.03.010

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Wang, W., Xia, X. G., Zhang, S., He, C., & Chen, L. (2019). Vector total fractional-order variation and its applications for color image denoising and decomposition. Applied Mathematical Modelling, 72, 155-175. https://doi.org/10.1016/j.apm.2019.03.010

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title = "Vector total fractional-order variation and its applications for color image denoising and decomposition",

abstract = " In this paper, a vector total fractional-order variation (VTV-β) is proposed. Then, VTV-β model and G β (Ω) model are proposed for color image denoising and decomposition, respectively. Some properties of the VTV-β are investigated and an alternative algorithm is used to solve the two models. Some experimental results are given to show the effectiveness and advantages of our methods.",

keywords = "Color image decomposition, Color image restoration, Fractional-order derivative, Vector total variation",

author = "Wei Wang and Xia, {Xiang Gen} and Shengli Zhang and Chuanjiang He and Ling Chen",

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year = "2019",

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doi = "10.1016/j.apm.2019.03.010",

language = "English",

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AU - Wang, Wei

AU - Xia, Xiang Gen

AU - Zhang, Shengli

AU - He, Chuanjiang

AU - Chen, Ling

PY - 2019/8

Y1 - 2019/8

N2 - In this paper, a vector total fractional-order variation (VTV-β) is proposed. Then, VTV-β model and G β (Ω) model are proposed for color image denoising and decomposition, respectively. Some properties of the VTV-β are investigated and an alternative algorithm is used to solve the two models. Some experimental results are given to show the effectiveness and advantages of our methods.

AB - In this paper, a vector total fractional-order variation (VTV-β) is proposed. Then, VTV-β model and G β (Ω) model are proposed for color image denoising and decomposition, respectively. Some properties of the VTV-β are investigated and an alternative algorithm is used to solve the two models. Some experimental results are given to show the effectiveness and advantages of our methods.

KW - Color image decomposition

KW - Color image restoration

KW - Fractional-order derivative

KW - Vector total variation

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U2 - 10.1016/j.apm.2019.03.010

DO - 10.1016/j.apm.2019.03.010

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VL - 72

SP - 155

EP - 175

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

ER -

Vector total fractional-order variation and its applications for color image denoising and decomposition

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Keywords

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