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

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8 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	155-175
页数	21
期刊	Applied Mathematical Modelling
卷	72
DOI	https://doi.org/10.1016/j.apm.2019.03.010
出版状态	已出版 - 8月 2019
已对外发布	是

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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",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = aug,

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

language = "English",

volume = "72",

pages = "155--175",

journal = "Applied Mathematical Modelling",

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T1 - Vector total fractional-order variation and its applications for color image denoising and decomposition

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

UR - http://www.scopus.com/inward/record.url?scp=85063264940&partnerID=8YFLogxK

U2 - 10.1016/j.apm.2019.03.010

DO - 10.1016/j.apm.2019.03.010

M3 - Article

AN - SCOPUS:85063264940

SN - 0307-904X

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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