Fractional-order variational optical flow model for motion estimation

DOI10.1098/rsta.2012.0148zbMath1342.49028OpenAlexW2326399158WikidataQ45868890 ScholiaQ45868890MaRDI QIDQ5890712

Hu Sheng, Dingyu Xue, Yang Quan Chen, Da-Li Chen

Publication date: 30 May 2016

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2012.0148

zbMATH Keywords

variational methodoptical flowfractional partial differential equationsmotion estimation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Fractional derivatives and integrals (26A33) Discrete approximations in optimal control (49M25) Variational methods applied to problems in optics and electromagnetic theory (78M30) Fractional partial differential equations (35R11)

Related Items (7)

Fractional-order total variation image denoising based on proximity algorithm ⋮ A numerical method to solve higher-order fractional differential equations ⋮ An improved fractional-order optical flow model for motion estimation ⋮ Optical flow with fractional order regularization: variational model and solution method ⋮ Fractional-order total variation image restoration based on primal-dual algorithm ⋮ Design of normalized fractional adaptive algorithms for parameter estimation of control autoregressive autoregressive systems ⋮ Wavelet inpainting by fractional order total variation

Cites Work

• Sparse occlusion detection with optical flow
• Solving nonlinear stochastic differential equations with fractional Brownian motion using reducibility approach
• Small-time kernel expansion for solutions of stochastic differential equations driven by fractional Brownian motions
• Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
• Finite element modeling of coating formation and transient heat transfer in the electric arc spray process
• A taxonomy and evaluation of dense two-frame stereo correspondence algorithms
• Simultaneous Higher-Order Optical Flow Estimation and Decomposition
• Derivatives of Noninteger Order
• Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement

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