Image structure preserving denoising using generalized fractional time integrals

Authors:
Eduardo Cuesta;Mokhtar Kirane;Salman A. Malik
Affiliations:
Department of Applied Mathematics, E.T.S. of Telecommunication Engineers, University of Valladolid, Spain;Laboratoire de Mathématiques, Image et Applications, Université de La Rochelle, Avenue M. Crépeau, 17042 La Rochelle Cedex, France;Laboratoire de Mathématiques, Image et Applications, Université de La Rochelle, Avenue M. Crépeau, 17042 La Rochelle Cedex, France
Venue:
Signal Processing
Year:
2012

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Abstract

A generalization of the linear fractional integral equation u(t)=u"0+@?^-^@aAu(t), 10, and allows us to handle the diffusion by means of a viscosity parameter instead of introducing nonlinearities in the equation as in the Perona-Malik and alike approaches. Several experiments showing the improvements achieved by our approach are provided.