On the estimation of optical flow: relations between different approaches and some new results
Artificial Intelligence
The computation of optical flow
ACM Computing Surveys (CSUR)
Fractional differentiation for edge detection
Signal Processing - Special issue: Fractional signal processing and applications
Highly Accurate Optic Flow Computation with Theoretically Justified Warping
International Journal of Computer Vision
A second-order accurate numerical method for the two-dimensional fractional diffusion equation
Journal of Computational Physics
A comparison of three total variation based texture extraction models
Journal of Visual Communication and Image Representation
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We introduce variational optical flow computation involving the prior with the fractional order differentiations. The fractional order differentiation is a typical tool in signal processing and image analysis. The zero crossing of a fractional order Laplacian yields a good performance for edge detection. As a sequel of edge detection with the fractional order differentiations, we deal with variational optical flow computation involving the fractional order differentiations on optical flow vectors. The method allows us to detect discontinuity of optical flow using linear operations.