Optical flow with fractional order regularization: Variational model and solution method

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• 作者：Somayeh Gh. Bardeji¹ ; Isabel N. Figueiredo¹ ; Ercí ; lia Sousa ; ¹ ; ^{ecs@mat.uc.pt}
• 关键词：Optical flow ; Variational models ; Fractional derivatives ; Finite differences
• 刊名：Applied Numerical Mathematics
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：114
• 期：Complete
• 页码：188-200
• 全文大小：1181 K
• 卷排序：114

文摘

An optical flow variational model is proposed for a sequence of images defined on a domain in R2R2. We introduce a regularization term given by the L1L1 norm of a fractional differential operator. To solve the minimization problem we apply the split Bregman method. Extensive experimental results, with performance evaluation, are presented to demonstrate the effectiveness of the new model and method and to show that our algorithm performs favorably in comparison to another existing method. We also discuss the influence of the order α   of the fractional operator in the estimation of the optical flow, for 0≤α≤20≤α≤2. We observe that the values of α for which the method performs better depend on the geometry and texture complexity of the image. Some extensions of our algorithm are also discussed.