Fractional-order variational optical flow model for motion estimation

DOI10.1098/rsta.2012.0148zbMath1339.65035OpenAlexW2326399158WikidataQ45868890 ScholiaQ45868890MaRDI QIDQ5890713

Nobuyuki Shimizu, Masataka Fukunaga

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

numerical examplefractional integrationfractional differential equationsfractional differentiationhigh-speed computational algorithm

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical differentiation (65D25) Numerical integration (65D30) Fractional ordinary differential equations (34A08)

Related Items (3)

An original perspective on variable-order fractional operators for viscoelastic materials ⋮ Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids ⋮ A novel approach to nonlinear variable-order fractional viscoelasticity

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

This page was built for publication: Fractional-order variational optical flow model for motion estimation