Institute of Mathematics Octav Mayer of the Romanian Academy

Mayer of the, Romania

Institute of Mathematics Octav Mayer of the Romanian Academy

Mayer of the, Romania
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Barbu T.,Romanian Academy of Sciences | Munteanu I.,Institute of Mathematics Octav Mayer of the Romanian Academy
Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science | Year: 2017

A nonlinear PDE-based image restoration approach is described in this article. The proposed filtering technique is based on a novel fourth-order diffusion model. Unlike many other fourth-order PDE denoising schemes, this nonlinear model provides an optimal trade-off between noise removal, image detail preservation and avoiding of undesired effects. A rigorous mathematical investigation of the well-posdedness of this differential model is also performed. Then, a consistent and fast converging numerical approximation scheme, based on the finite-difference method, is constructed for the fourth-order PDE. The denoising method proposed here outperforms not only the conventional image filters and those based on linear PDEs, but also many state of the art nonlinear second and fourth order diffusion-based techniques, as resulting from the method comparison.

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