Abstract
• Propose a vector total fractional-order variation for color image regularization. • Propose a VTV- β model for color image denoising and develop an alternating algorithm to solve it. • Propose a G β (Ω)model for color image decomposition and develop a new algorithm to solve it. • Experiments show that our denoising model has the highest average PSNR compared to relevant models in the literatures. 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.
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