PDE-BASED RESTORATION MODEL USING NONLINEAR SECOND AND FOURTH ORDER DIFFUSIONS

In this article we propose a novel image denoising and restoration system based on a combination of second and fourth order partial differential equations. We consider a variational scheme that minimizes a energy functional composed of functions of gradient magnitude and of absolute value of Laplacian of image intensity. Then the corresponding Euler-Lagrange equation is computed, a PDE model based on second and fourth order nonlinear diffusions being achieved. A robust mathematical treatment is provided for this nonlinear diffusion model. Then, a consistent numerical approximation scheme based on a finite-difference method is proposed.

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