Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/43831
Title: Optical flow with fractional order regularization: Variational model and solution method
Authors: Bardeji, Somayeh Gh. 
Figueiredo, Isabel N. 
Sousa, Ercília 
Issue Date: 2017
Publisher: Elsevier
Project: info:eu-repo/grantAgreement/FCT/5876/147205/PT 
Serial title, monograph or event: Applied Numerical Mathematics
Volume: 114
Abstract: An optical flow variational model is proposed for a sequence of images defined on a domain in R^2. We introduce a regularization term given by L^1 the 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 ≤ ∝ ≤ 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.
URI: http://hdl.handle.net/10316/43831
Other Identifiers: 10.1016/j.apnum.2016.04.011
DOI: 10.1016/j.apnum.2016.04.011
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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