Image structure preserving denoising using generalized fractional time integrals. - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2011

Image structure preserving denoising using generalized fractional time integrals.

Résumé

A generalization of the linear fractional integral equation u(t) = u0+∂−Au(t), 1 < α < 2, which is written as a Volterra matrix-valued equation when applied as a pixel-by-pixel technique, has been proposed for image denoising (restoration, smoothing,...). Since the fractional integral equation interpolates a linear parabolic equation and a hyperbolic equation, the solution enjoys intermediate properties. The Volterra equation we propose is well-posed, and allows us to handle the diffusion by means of some viscosity parameters instead of introducing non linearities in the equation as in the Perona-Malik and alike approaches. Several experiments showing the improvements achieved by our approach are provided.
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Dates et versions

hal-00437341 , version 1 (30-11-2009)
hal-00437341 , version 2 (17-04-2011)

Identifiants

  • HAL Id : hal-00437341 , version 2

Citer

Edurado Cuesta, Mokhtar Kirane, Salman Amin Malik. Image structure preserving denoising using generalized fractional time integrals.. 2011. ⟨hal-00437341v2⟩

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