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J. Imaging 2018, 4(2), 31; doi:10.3390/jimaging4020031

An Investigation of Smooth TV-Like Regularization in the Context of the Optical Flow Problem

Department of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi Arabia
On leave from Cadi Ayyad University, ENSA Marrakech 40000, Morocco.
Received: 28 November 2017 / Revised: 24 January 2018 / Accepted: 26 January 2018 / Published: 31 January 2018
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Total variation (TV) is widely used in many image processing problems including the regularization of optical flow estimation. In order to deal with non differentiability of the TV regularization term, smooth approximations have been considered in the literature. In this paper, we investigate the use of three known smooth TV approximations, namely: the Charbonnier, Huber and Green functions. We establish the maximum theoretical error of these approximations and discuss their performance evaluation when applied to the optical flow problem. View Full-Text
Keywords: optical flow; total variation; smooth approximations optical flow; total variation; smooth approximations

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Kalmoun, E.M. An Investigation of Smooth TV-Like Regularization in the Context of the Optical Flow Problem. J. Imaging 2018, 4, 31.

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