Symmetrised fractional variation with L1 fidelity for signal denoising via Grünwald-Letnikov scheme
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DOI: 10.1016/j.amc.2025.129429
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- Yi-Fei Pu & Ji-Liu Zhou & Patrick Siarry & Ni Zhang & Yi-Guang Liu, 2013. "Fractional Partial Differential Equation: Fractional Total Variation and Fractional Steepest Descent Approach‐Based Multiscale Denoising Model for Texture Image," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
- Chen, Dali & Chen, YangQuan & Xue, Dingyu, 2015. "Fractional-order total variation image denoising based on proximity algorithm," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 537-545.
- Dirk A. Lorenz & Quoc Tran-Dinh, 2019. "Non-stationary Douglas–Rachford and alternating direction method of multipliers: adaptive step-sizes and convergence," Computational Optimization and Applications, Springer, vol. 74(1), pages 67-92, September.
- Yi-Fei Pu & Ji-Liu Zhou & Patrick Siarry & Ni Zhang & Yi-Guang Liu, 2013. "Fractional Partial Differential Equation: Fractional Total Variation and Fractional Steepest Descent Approach-Based Multiscale Denoising Model for Texture Image," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-19, November.
- Fausto Ferrari, 2018. "Weyl and Marchaud Derivatives: A Forgotten History," Mathematics, MDPI, vol. 6(1), pages 1-25, January.
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Keywords
Fractional variation; Total variation; Riemann-Liouville fractional derivatives; Grünwald-Letnikov scheme; Functions of bounded variation; Discretization of fractional derivatives; Calculus of variations; Abel equation; Signal analysis; Multi-parameter whiteness principle;All these keywords.
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