Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776728 | Applied Numerical Mathematics | 2017 | 13 Pages |
Abstract
An optical flow variational model is proposed for a sequence of images defined on a domain in R2. We introduce a regularization term given by the L1 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 0â¤Î±â¤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.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Somayeh Gh. Bardeji, Isabel N. Figueiredo, ErcÃlia Sousa,